Database - ec_nfcurves (Elliptic curves over *Q* and other number fields)

Formats: - HTML - YAML - JSON - 2025-11-24T12:19:55.074299 - next page

Query: /api/ec_nfcurves/?_offset=0

Column	Type
Lvalue	numeric
abs_disc	bigint
ainvs	text
analytic_rank	smallint
bad_primes	jsonb
base_change	jsonb
class_deg	integer
class_label	text
class_size	smallint
cm	integer
cm_type	smallint
conductor_ideal	text
conductor_label	text
conductor_norm	bigint
conductor_norm_factors	integer[]
degree	smallint
disc	text
equation	text
field_label	text
galois_images	jsonb
gens	jsonb
heights	numeric[]
iso_label	text
iso_nlabel	smallint
isodeg	integer[]
isogeny_matrix	jsonb
jinv	text
label	text
local_data	jsonb
minD	text
n_bad_primes	integer
ngens	smallint
non_min_p	jsonb
nonmax_primes	smallint[]
nonmax_rad	integer
normdisc	numeric
number	smallint
omega	numeric
potential_good_reduction	boolean
q_curve	boolean
rank	smallint
rank_bounds	jsonb
reducible_primes	integer[]
reg	numeric
root_analytic_conductor	double precision
semistable	boolean
sha	integer
short_class_label	text
short_label	text
signature	jsonb
tamagawa_product	integer
torsion_gens	jsonb
torsion_order	smallint
torsion_primes	integer[]
torsion_structure	jsonb
trace_hash	bigint

0. label: 2.0.1003.1-9.1-a1
   {'Lvalue': {'__RealLiteral__': 0, 'data': '4.6094804557468597777469295008178820589', 'prec': 130}, 'abs_disc': 1003, 'ainvs': '1,1;1,-1;1,1;1705,27;-16420,-717', 'analytic_rank': 1, 'bad_primes': ['(3)'], 'base_change': [], 'class_deg': 2, 'class_label': '2.0.1003.1-9.1-a', 'class_size': 2, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(3)', 'conductor_label': '9.1', 'conductor_norm': 9, 'conductor_norm_factors': [3], 'degree': 2, 'disc': '(-618308640*a+6573013191)', 'equation': '{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3+\\left(-a+1\\right){x}^2+\\left(27a+1705\\right){x}-717a-16420', 'field_label': '2.0.1003.1', 'galois_images': ['2B'], 'gens': [], 'heights': [], 'iso_label': 'a', 'iso_nlabel': 0, 'isodeg': [1, 2], 'isogeny_matrix': [[1, 2], [2, 1]], 'jinv': '5359375/6561,0', 'label': '2.0.1003.1-9.1-a1', 'local_data': [{'p': '(11,w+9)', 'cp': 1, 'kod': 1, 'red': None, 'normp': 11, 'rootno': 1, 'ord_cond': 0, 'ord_disc': 0, 'ord_den_j': 0}, {'p': '(3)', 'cp': 2, 'kod': 12, 'red': -1, 'normp': 9, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 8, 'ord_den_j': 8}], 'minD': '(6561)', 'n_bad_primes': 1, 'ngens': 0, 'non_min_p': ['(11,w+9)'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'normdisc': 135099050711191781841, 'number': 1, 'omega': {'__RealLiteral__': 0, 'data': '6.3986008583408539926840101379729160856', 'prec': 130}, 'potential_good_reduction': False, 'q_curve': True, 'rank_bounds': [0, 1], 'reducible_primes': [2], 'reg': 1, 'root_analytic_conductor': 4.9017329556191935, 'semistable': True, 'short_class_label': '9.1-a', 'short_label': '9.1-a1', 'signature': [0, 1], 'tamagawa_product': 2, 'torsion_gens': ['[[55/2,1/4],[137/8,-29/2],[1,0]]'], 'torsion_order': 2, 'torsion_primes': [2], 'torsion_structure': [2], 'trace_hash': 2156693536318741805}
1. label: 2.0.1003.1-9.1-a2
   {'Lvalue': {'__RealLiteral__': 0, 'data': '4.6094804557468597777469295008178820589', 'prec': 130}, 'abs_disc': 1003, 'ainvs': '1,1;1,-1;1,1;1260,2;-6372,12', 'analytic_rank': 1, 'bad_primes': ['(3)'], 'base_change': [], 'class_deg': 2, 'class_label': '2.0.1003.1-9.1-a', 'class_size': 2, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(3)', 'conductor_label': '9.1', 'conductor_norm': 9, 'conductor_norm_factors': [3], 'degree': 2, 'disc': '(7633440*a-81148311)', 'equation': '{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3+\\left(-a+1\\right){x}^2+\\left(2a+1260\\right){x}+12a-6372', 'field_label': '2.0.1003.1', 'galois_images': ['2B'], 'gens': [], 'heights': [], 'iso_label': 'a', 'iso_nlabel': 0, 'isodeg': [1, 2], 'isogeny_matrix': [[1, 2], [2, 1]], 'jinv': '274625/81,0', 'label': '2.0.1003.1-9.1-a2', 'local_data': [{'p': '(11,w+9)', 'cp': 1, 'kod': 1, 'red': None, 'normp': 11, 'rootno': 1, 'ord_cond': 0, 'ord_disc': 0, 'ord_den_j': 0}, {'p': '(3)', 'cp': 2, 'kod': 8, 'red': -1, 'normp': 9, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 4, 'ord_den_j': 4}], 'minD': '(81)', 'n_bad_primes': 1, 'ngens': 0, 'non_min_p': ['(11,w+9)'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'normdisc': 20591228579666481, 'number': 2, 'omega': {'__RealLiteral__': 0, 'data': '12.797201716681707985368020275945832171', 'prec': 130}, 'potential_good_reduction': False, 'q_curve': True, 'rank_bounds': [0, 1], 'reducible_primes': [2], 'reg': 1, 'root_analytic_conductor': 4.9017329556191935, 'semistable': True, 'short_class_label': '9.1-a', 'short_label': '9.1-a2', 'signature': [0, 1], 'tamagawa_product': 2, 'torsion_gens': ['[[17,0],[-9,-9],[1,0]]'], 'torsion_order': 2, 'torsion_primes': [2], 'torsion_structure': [2], 'trace_hash': 2156693536318741805}
2. label: 2.0.1003.1-9.1-b1
   {'Lvalue': {'__RealLiteral__': 0, 'data': '4.6094804557468597777469295008178820589', 'prec': 130}, 'abs_disc': 1003, 'ainvs': '0,1;1,0;0,1;1734,-29;-17136,716', 'analytic_rank': 1, 'bad_primes': ['(3)'], 'base_change': [], 'class_deg': 2, 'class_label': '2.0.1003.1-9.1-b', 'class_size': 2, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(3)', 'conductor_label': '9.1', 'conductor_norm': 9, 'conductor_norm_factors': [3], 'degree': 2, 'disc': '(618308640*a+5954704551)', 'equation': '{y}^2+a{x}{y}+a{y}={x}^3+{x}^2+\\left(-29a+1734\\right){x}+716a-17136', 'field_label': '2.0.1003.1', 'galois_images': ['2B'], 'gens': [], 'heights': [], 'iso_label': 'b', 'iso_nlabel': 1, 'isodeg': [1, 2], 'isogeny_matrix': [[1, 2], [2, 1]], 'jinv': '5359375/6561,0', 'label': '2.0.1003.1-9.1-b1', 'local_data': [{'p': '(11,w+1)', 'cp': 1, 'kod': 1, 'red': None, 'normp': 11, 'rootno': 1, 'ord_cond': 0, 'ord_disc': 0, 'ord_den_j': 0}, {'p': '(3)', 'cp': 2, 'kod': 12, 'red': -1, 'normp': 9, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 8, 'ord_den_j': 8}], 'minD': '(6561)', 'n_bad_primes': 1, 'ngens': 0, 'non_min_p': ['(11,w+1)'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'normdisc': 135099050711191781841, 'number': 1, 'omega': {'__RealLiteral__': 0, 'data': '6.3986008583408539926840101379729160856', 'prec': 130}, 'potential_good_reduction': False, 'q_curve': True, 'rank_bounds': [0, 1], 'reducible_primes': [2], 'reg': 1, 'root_analytic_conductor': 4.9017329556191935, 'semistable': True, 'short_class_label': '9.1-b', 'short_label': '9.1-b1', 'signature': [0, 1], 'tamagawa_product': 2, 'torsion_gens': ['[[111/4,-1/4],[-251/8,-57/4],[1,0]]'], 'torsion_order': 2, 'torsion_primes': [2], 'torsion_structure': [2], 'trace_hash': 2156693536318741805}
3. label: 2.0.1003.1-9.1-b2
   {'Lvalue': {'__RealLiteral__': 0, 'data': '4.6094804557468597777469295008178820589', 'prec': 130}, 'abs_disc': 1003, 'ainvs': '0,1;1,0;0,1;1264,-4;-6359,-13', 'analytic_rank': 1, 'bad_primes': ['(3)'], 'base_change': [], 'class_deg': 2, 'class_label': '2.0.1003.1-9.1-b', 'class_size': 2, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(3)', 'conductor_label': '9.1', 'conductor_norm': 9, 'conductor_norm_factors': [3], 'degree': 2, 'disc': '(-7633440*a-73514871)', 'equation': '{y}^2+a{x}{y}+a{y}={x}^3+{x}^2+\\left(-4a+1264\\right){x}-13a-6359', 'field_label': '2.0.1003.1', 'galois_images': ['2B'], 'gens': [], 'heights': [], 'iso_label': 'b', 'iso_nlabel': 1, 'isodeg': [1, 2], 'isogeny_matrix': [[1, 2], [2, 1]], 'jinv': '274625/81,0', 'label': '2.0.1003.1-9.1-b2', 'local_data': [{'p': '(11,w+1)', 'cp': 1, 'kod': 1, 'red': None, 'normp': 11, 'rootno': 1, 'ord_cond': 0, 'ord_disc': 0, 'ord_den_j': 0}, {'p': '(3)', 'cp': 2, 'kod': 8, 'red': -1, 'normp': 9, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 4, 'ord_den_j': 4}], 'minD': '(81)', 'n_bad_primes': 1, 'ngens': 0, 'non_min_p': ['(11,w+1)'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'normdisc': 20591228579666481, 'number': 2, 'omega': {'__RealLiteral__': 0, 'data': '12.797201716681707985368020275945832171', 'prec': 130}, 'potential_good_reduction': False, 'q_curve': True, 'rank_bounds': [0, 1], 'reducible_primes': [2], 'reg': 1, 'root_analytic_conductor': 4.9017329556191935, 'semistable': True, 'short_class_label': '9.1-b', 'short_label': '9.1-b2', 'signature': [0, 1], 'tamagawa_product': 2, 'torsion_gens': ['[[17,0],[0,-9],[1,0]]'], 'torsion_order': 2, 'torsion_primes': [2], 'torsion_structure': [2], 'trace_hash': 2156693536318741805}
4. label: 2.0.1003.1-9.1-c1
   {'Lvalue': {'__RealLiteral__': 0, 'data': '4.4170604358786731293760003541752421796', 'prec': 130}, 'abs_disc': 1003, 'ainvs': '0,0;0,1;1,0;-4504,-248;101902,8368', 'analytic_rank': 1, 'bad_primes': ['(3)'], 'base_change': [], 'class_deg': 5, 'class_label': '2.0.1003.1-9.1-c', 'class_size': 2, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(3)', 'conductor_label': '9.1', 'conductor_norm': 9, 'conductor_norm_factors': [3], 'degree': 2, 'disc': '(-22900320*a+243444933)', 'equation': '{y}^2+{y}={x}^3+a{x}^2+\\left(-248a-4504\\right){x}+8368a+101902', 'field_label': '2.0.1003.1', 'galois_images': ['5B'], 'gens': ['[[69754774441/1402823952,80798669/82519056],[6151005564355643/72211765753152,271714240442687/54158824314864],[1,0]]'], 'heights': [{'__RealLiteral__': 0, 'data': '15.236561986369106630648549285056244152', 'prec': 130}], 'iso_label': 'c', 'iso_nlabel': 2, 'isodeg': [1, 5], 'isogeny_matrix': [[1, 5], [5, 1]], 'jinv': '-13549359104/243,0', 'label': '2.0.1003.1-9.1-c1', 'local_data': [{'p': '(11,w+9)', 'cp': 1, 'kod': 1, 'red': None, 'normp': 11, 'rootno': 1, 'ord_cond': 0, 'ord_disc': 0, 'ord_den_j': 0}, {'p': '(3)', 'cp': 1, 'kod': 9, 'red': -1, 'normp': 9, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 5, 'ord_den_j': 5}], 'minD': '(243)', 'n_bad_primes': 1, 'ngens': 1, 'non_min_p': ['(11,w+9)'], 'nonmax_primes': [5], 'nonmax_rad': 5, 'normdisc': 185321057216998329, 'number': 1, 'omega': {'__RealLiteral__': 0, 'data': '4.5905722758770344911009310514710291624', 'prec': 130}, 'potential_good_reduction': False, 'q_curve': True, 'rank': 1, 'rank_bounds': [1, 1], 'reducible_primes': [5], 'reg': {'__RealLiteral__': 0, 'data': '15.236561986369106630648549285056244152', 'prec': 130}, 'root_analytic_conductor': 4.9017329556191935, 'semistable': True, 'sha': 1, 'short_class_label': '9.1-c', 'short_label': '9.1-c1', 'signature': [0, 1], 'tamagawa_product': 1, 'torsion_gens': [], 'torsion_order': 1, 'torsion_primes': [], 'torsion_structure': [], 'trace_hash': 19964822381247436}
5. label: 2.0.1003.1-9.1-c2
   {'Lvalue': {'__RealLiteral__': 0, 'data': '4.4170604358786731293760003541752421796', 'prec': 130}, 'abs_disc': 1003, 'ainvs': '0,0;0,1;1,0;-54,2;-126,4', 'analytic_rank': 1, 'bad_primes': ['(3)'], 'base_change': [], 'class_deg': 5, 'class_label': '2.0.1003.1-9.1-c', 'class_size': 2, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(3)', 'conductor_label': '9.1', 'conductor_norm': 9, 'conductor_norm_factors': [3], 'degree': 2, 'disc': '(-282720*a+3005493)', 'equation': '{y}^2+{y}={x}^3+a{x}^2+\\left(2a-54\\right){x}+4a-126', 'field_label': '2.0.1003.1', 'galois_images': ['5B'], 'gens': ['[[8/17,-1],[-7057/289,-336/289],[1,0]]'], 'heights': [{'__RealLiteral__': 0, 'data': '3.0473123972738213261297098570112488303', 'prec': 130}], 'iso_label': 'c', 'iso_nlabel': 2, 'isodeg': [1, 5], 'isogeny_matrix': [[1, 5], [5, 1]], 'jinv': '4096/3,0', 'label': '2.0.1003.1-9.1-c2', 'local_data': [{'p': '(11,w+9)', 'cp': 1, 'kod': 1, 'red': None, 'normp': 11, 'rootno': 1, 'ord_cond': 0, 'ord_disc': 0, 'ord_den_j': 0}, {'p': '(3)', 'cp': 1, 'kod': 5, 'red': -1, 'normp': 9, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 1, 'ord_den_j': 1}], 'minD': '(3)', 'n_bad_primes': 1, 'ngens': 1, 'non_min_p': ['(11,w+9)'], 'nonmax_primes': [5], 'nonmax_rad': 5, 'normdisc': 28245855390489, 'number': 2, 'omega': {'__RealLiteral__': 0, 'data': '22.952861379385172455504655257355145812', 'prec': 130}, 'potential_good_reduction': False, 'q_curve': True, 'rank': 1, 'rank_bounds': [1, 1], 'reducible_primes': [5], 'reg': {'__RealLiteral__': 0, 'data': '3.0473123972738213261297098570112488303', 'prec': 130}, 'root_analytic_conductor': 4.9017329556191935, 'semistable': True, 'sha': 1, 'short_class_label': '9.1-c', 'short_label': '9.1-c2', 'signature': [0, 1], 'tamagawa_product': 1, 'torsion_gens': [], 'torsion_order': 1, 'torsion_primes': [], 'torsion_structure': [], 'trace_hash': 19964822381247436}
6. label: 2.0.1003.1-9.1-d1
   {'Lvalue': {'__RealLiteral__': 0, 'data': '4.4170604358786731293760003541752421796', 'prec': 130}, 'abs_disc': 1003, 'ainvs': '0,0;1,-1;1,0;-4752,248;110270,-8368', 'analytic_rank': 1, 'bad_primes': ['(3)'], 'base_change': [], 'class_deg': 5, 'class_label': '2.0.1003.1-9.1-d', 'class_size': 2, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(3)', 'conductor_label': '9.1', 'conductor_norm': 9, 'conductor_norm_factors': [3], 'degree': 2, 'disc': '(22900320*a+220544613)', 'equation': '{y}^2+{y}={x}^3+\\left(-a+1\\right){x}^2+\\left(248a-4752\\right){x}-8368a+110270', 'field_label': '2.0.1003.1', 'galois_images': ['5B'], 'gens': ['[[35564175907/701411976,-80798669/82519056],[19539873654837677/216635297259456,-271714240442687/54158824314864],[1,0]]'], 'heights': [{'__RealLiteral__': 0, 'data': '15.236561986369106630648549285056244152', 'prec': 130}], 'iso_label': 'd', 'iso_nlabel': 3, 'isodeg': [1, 5], 'isogeny_matrix': [[1, 5], [5, 1]], 'jinv': '-13549359104/243,0', 'label': '2.0.1003.1-9.1-d1', 'local_data': [{'p': '(11,w+1)', 'cp': 1, 'kod': 1, 'red': None, 'normp': 11, 'rootno': 1, 'ord_cond': 0, 'ord_disc': 0, 'ord_den_j': 0}, {'p': '(3)', 'cp': 1, 'kod': 9, 'red': -1, 'normp': 9, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 5, 'ord_den_j': 5}], 'minD': '(243)', 'n_bad_primes': 1, 'ngens': 1, 'non_min_p': ['(11,w+1)'], 'nonmax_primes': [5], 'nonmax_rad': 5, 'normdisc': 185321057216998329, 'number': 1, 'omega': {'__RealLiteral__': 0, 'data': '4.5905722758770344911009310514710291624', 'prec': 130}, 'potential_good_reduction': False, 'q_curve': True, 'rank': 1, 'rank_bounds': [1, 1], 'reducible_primes': [5], 'reg': {'__RealLiteral__': 0, 'data': '15.236561986369106630648549285056244152', 'prec': 130}, 'root_analytic_conductor': 4.9017329556191935, 'semistable': True, 'sha': 1, 'short_class_label': '9.1-d', 'short_label': '9.1-d1', 'signature': [0, 1], 'tamagawa_product': 1, 'torsion_gens': [], 'torsion_order': 1, 'torsion_primes': [], 'torsion_structure': [], 'trace_hash': 19964822381247436}
7. label: 2.0.1003.1-9.1-d2
   {'Lvalue': {'__RealLiteral__': 0, 'data': '4.4170604358786731293760003541752421796', 'prec': 130}, 'abs_disc': 1003, 'ainvs': '0,0;1,-1;1,0;-52,-2;-122,-4', 'analytic_rank': 1, 'bad_primes': ['(3)'], 'base_change': [], 'class_deg': 5, 'class_label': '2.0.1003.1-9.1-d', 'class_size': 2, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(3)', 'conductor_label': '9.1', 'conductor_norm': 9, 'conductor_norm_factors': [3], 'degree': 2, 'disc': '(282720*a+2722773)', 'equation': '{y}^2+{y}={x}^3+\\left(-a+1\\right){x}^2+\\left(-2a-52\\right){x}-4a-122', 'field_label': '2.0.1003.1', 'galois_images': ['5B'], 'gens': ['[[-9/17,1],[-7393/289,336/289],[1,0]]'], 'heights': [{'__RealLiteral__': 0, 'data': '3.0473123972738213261297098570112488303', 'prec': 130}], 'iso_label': 'd', 'iso_nlabel': 3, 'isodeg': [1, 5], 'isogeny_matrix': [[1, 5], [5, 1]], 'jinv': '4096/3,0', 'label': '2.0.1003.1-9.1-d2', 'local_data': [{'p': '(11,w+1)', 'cp': 1, 'kod': 1, 'red': None, 'normp': 11, 'rootno': 1, 'ord_cond': 0, 'ord_disc': 0, 'ord_den_j': 0}, {'p': '(3)', 'cp': 1, 'kod': 5, 'red': -1, 'normp': 9, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 1, 'ord_den_j': 1}], 'minD': '(3)', 'n_bad_primes': 1, 'ngens': 1, 'non_min_p': ['(11,w+1)'], 'nonmax_primes': [5], 'nonmax_rad': 5, 'normdisc': 28245855390489, 'number': 2, 'omega': {'__RealLiteral__': 0, 'data': '22.952861379385172455504655257355145812', 'prec': 130}, 'potential_good_reduction': False, 'q_curve': True, 'rank': 1, 'rank_bounds': [1, 1], 'reducible_primes': [5], 'reg': {'__RealLiteral__': 0, 'data': '3.0473123972738213261297098570112488303', 'prec': 130}, 'root_analytic_conductor': 4.9017329556191935, 'semistable': True, 'sha': 1, 'short_class_label': '9.1-d', 'short_label': '9.1-d2', 'signature': [0, 1], 'tamagawa_product': 1, 'torsion_gens': [], 'torsion_order': 1, 'torsion_primes': [], 'torsion_structure': [], 'trace_hash': 19964822381247436}
8. label: 2.0.1007.1-9.1-a1
   {'Lvalue': {'__RealLiteral__': 0, 'data': '0.63899386843841525947202653225989860812', 'prec': 133}, 'abs_disc': 1007, 'ainvs': '0,0;0,0;1,0;-7398,-3968;3469862,-329672', 'analytic_rank': 0, 'bad_primes': ['(3,w)'], 'base_change': [], 'class_deg': 19, 'class_label': '2.0.1007.1-9.1-a', 'class_size': 2, 'cm': -19, 'cm_type': -1, 'conductor_ideal': '(9,w)', 'conductor_label': '9.1', 'conductor_norm': 9, 'conductor_norm_factors': [3], 'degree': 2, 'disc': '(1835073033920*a+12924909572373)', 'equation': '{y}^2+{y}={x}^3+\\left(-3968a-7398\\right){x}-329672a+3469862', 'field_label': '2.0.1007.1', 'galois_images': ['19B.18.6', '53Nn.1.17.1'], 'gens': [], 'heights': [], 'iso_label': 'a', 'iso_nlabel': 0, 'isodeg': [1, 19], 'isogeny_matrix': [[1, 19], [19, 1]], 'jinv': '-884736,0', 'label': '2.0.1007.1-9.1-a1', 'local_data': [{'p': '(3,w)', 'cp': 2, 'kod': -1, 'red': 0, 'normp': 3, 'rootno': -1, 'ord_cond': 2, 'ord_disc': 6, 'ord_den_j': 0}, {'p': '(103,w+34)', 'cp': 1, 'kod': 1, 'red': None, 'normp': 103, 'rootno': 1, 'ord_cond': 0, 'ord_disc': 0, 'ord_den_j': 0}], 'minD': '(729,w+396)', 'n_bad_primes': 1, 'ngens': 0, 'non_min_p': ['(103,w+34)'], 'nonmax_primes': [19, 53], 'nonmax_rad': 1007, 'normdisc': 1039379686510864451231476089, 'number': 1, 'omega': {'__RealLiteral__': 0, 'data': '10.138680338796612640694421581247995346', 'prec': 130}, 'potential_good_reduction': True, 'q_curve': True, 'rank': 0, 'rank_bounds': [0, 0], 'reducible_primes': [19], 'reg': 1, 'root_analytic_conductor': 4.911497373574459, 'semistable': False, 'sha': 1, 'short_class_label': '9.1-a', 'short_label': '9.1-a1', 'signature': [0, 1], 'tamagawa_product': 2, 'torsion_gens': [], 'torsion_order': 1, 'torsion_primes': [], 'torsion_structure': [], 'trace_hash': 2125864097643751743}
9. label: 2.0.1007.1-9.1-a2
   {'Lvalue': {'__RealLiteral__': 0, 'data': '0.63899386843841525947202653225989860812', 'prec': 133}, 'abs_disc': 1007, 'ainvs': '0,0;0,0;1,0;1674,-32;-11203,-1582', 'analytic_rank': 0, 'bad_primes': ['(3,w)'], 'base_change': [], 'class_deg': 19, 'class_label': '2.0.1007.1-9.1-a', 'class_size': 2, 'cm': -19, 'cm_type': -1, 'conductor_ideal': '(9,w)', 'conductor_label': '9.1', 'conductor_norm': 9, 'conductor_norm_factors': [3], 'degree': 2, 'disc': '(-31956400*a+425418813)', 'equation': '{y}^2+{y}={x}^3+\\left(-32a+1674\\right){x}-1582a-11203', 'field_label': '2.0.1007.1', 'galois_images': ['19B.18.6', '53Nn.1.17.1'], 'gens': [], 'heights': [], 'iso_label': 'a', 'iso_nlabel': 0, 'isodeg': [1, 19], 'isogeny_matrix': [[1, 19], [19, 1]], 'jinv': '-884736,0', 'label': '2.0.1007.1-9.1-a2', 'local_data': [{'p': '(3,w)', 'cp': 2, 'kod': -1, 'red': 0, 'normp': 3, 'rootno': -1, 'ord_cond': 2, 'ord_disc': 6, 'ord_den_j': 0}, {'p': '(17,w+4)', 'cp': 1, 'kod': 1, 'red': None, 'normp': 17, 'rootno': 1, 'ord_cond': 0, 'ord_disc': 0, 'ord_den_j': 0}], 'minD': '(729,w+396)', 'n_bad_primes': 1, 'ngens': 0, 'non_min_p': ['(17,w+4)'], 'nonmax_primes': [19, 53], 'nonmax_rad': 1007, 'normdisc': 424731610940495769, 'number': 2, 'omega': {'__RealLiteral__': 0, 'data': '10.138680338796612640694421581247995345', 'prec': 130}, 'potential_good_reduction': True, 'q_curve': True, 'rank': 0, 'rank_bounds': [0, 0], 'reducible_primes': [19], 'reg': 1, 'root_analytic_conductor': 4.911497373574459, 'semistable': False, 'sha': 1, 'short_class_label': '9.1-a', 'short_label': '9.1-a2', 'signature': [0, 1], 'tamagawa_product': 2, 'torsion_gens': [], 'torsion_order': 1, 'torsion_primes': [], 'torsion_structure': [], 'trace_hash': 2125864097643751743}
10. label: 2.0.1007.1-9.3-a1
    {'Lvalue': {'__RealLiteral__': 0, 'data': '0.63899386843841525947202653225989860812', 'prec': 133}, 'abs_disc': 1007, 'ainvs': '0,0;0,0;1,0;1642,32;-12785,1582', 'analytic_rank': 0, 'bad_primes': ['(3,w+2)'], 'base_change': [], 'class_deg': 19, 'class_label': '2.0.1007.1-9.3-a', 'class_size': 2, 'cm': -19, 'cm_type': -1, 'conductor_ideal': '(9,w+8)', 'conductor_label': '9.3', 'conductor_norm': 9, 'conductor_norm_factors': [3], 'degree': 2, 'disc': '(31956400*a+393462413)', 'equation': '{y}^2+{y}={x}^3+\\left(32a+1642\\right){x}+1582a-12785', 'field_label': '2.0.1007.1', 'galois_images': ['19B.18.6', '53Nn.1.17.1'], 'gens': [], 'heights': [], 'iso_label': 'a', 'iso_nlabel': 0, 'isodeg': [1, 19], 'isogeny_matrix': [[1, 19], [19, 1]], 'jinv': '-884736,0', 'label': '2.0.1007.1-9.3-a1', 'local_data': [{'p': '(3,w+2)', 'cp': 2, 'kod': -1, 'red': 0, 'normp': 3, 'rootno': -1, 'ord_cond': 2, 'ord_disc': 6, 'ord_den_j': 0}, {'p': '(17,w+12)', 'cp': 1, 'kod': 1, 'red': None, 'normp': 17, 'rootno': 1, 'ord_cond': 0, 'ord_disc': 0, 'ord_den_j': 0}], 'minD': '(729,w+332)', 'n_bad_primes': 1, 'ngens': 0, 'non_min_p': ['(17,w+12)'], 'nonmax_primes': [19, 53], 'nonmax_rad': 1007, 'normdisc': 424731610940495769, 'number': 1, 'omega': {'__RealLiteral__': 0, 'data': '10.138680338796612640694421581247995345', 'prec': 130}, 'potential_good_reduction': True, 'q_curve': True, 'rank': 0, 'rank_bounds': [0, 0], 'reducible_primes': [19], 'reg': 1, 'root_analytic_conductor': 4.911497373574459, 'semistable': False, 'sha': 1, 'short_class_label': '9.3-a', 'short_label': '9.3-a1', 'signature': [0, 1], 'tamagawa_product': 2, 'torsion_gens': [], 'torsion_order': 1, 'torsion_primes': [], 'torsion_structure': [], 'trace_hash': 2125864097643751743}
11. label: 2.0.1007.1-9.3-a2
    {'Lvalue': {'__RealLiteral__': 0, 'data': '0.63899386843841525947202653225989860812', 'prec': 133}, 'abs_disc': 1007, 'ainvs': '0,0;0,0;1,0;-11366,3968;3140190,329672', 'analytic_rank': 0, 'bad_primes': ['(3,w+2)'], 'base_change': [], 'class_deg': 19, 'class_label': '2.0.1007.1-9.3-a', 'class_size': 2, 'cm': -19, 'cm_type': -1, 'conductor_ideal': '(9,w+8)', 'conductor_label': '9.3', 'conductor_norm': 9, 'conductor_norm_factors': [3], 'degree': 2, 'disc': '(-1835073033920*a+14759982606293)', 'equation': '{y}^2+{y}={x}^3+\\left(3968a-11366\\right){x}+329672a+3140190', 'field_label': '2.0.1007.1', 'galois_images': ['19B.18.6', '53Nn.1.17.1'], 'gens': [], 'heights': [], 'iso_label': 'a', 'iso_nlabel': 0, 'isodeg': [1, 19], 'isogeny_matrix': [[1, 19], [19, 1]], 'jinv': '-884736,0', 'label': '2.0.1007.1-9.3-a2', 'local_data': [{'p': '(3,w+2)', 'cp': 2, 'kod': -1, 'red': 0, 'normp': 3, 'rootno': -1, 'ord_cond': 2, 'ord_disc': 6, 'ord_den_j': 0}, {'p': '(103,w+68)', 'cp': 1, 'kod': 1, 'red': None, 'normp': 103, 'rootno': 1, 'ord_cond': 0, 'ord_disc': 0, 'ord_den_j': 0}], 'minD': '(729,w+332)', 'n_bad_primes': 1, 'ngens': 0, 'non_min_p': ['(103,w+68)'], 'nonmax_primes': [19, 53], 'nonmax_rad': 1007, 'normdisc': 1039379686510864451231476089, 'number': 2, 'omega': {'__RealLiteral__': 0, 'data': '10.138680338796612640694421581247995346', 'prec': 130}, 'potential_good_reduction': True, 'q_curve': True, 'rank': 0, 'rank_bounds': [0, 0], 'reducible_primes': [19], 'reg': 1, 'root_analytic_conductor': 4.911497373574459, 'semistable': False, 'sha': 1, 'short_class_label': '9.3-a', 'short_label': '9.3-a2', 'signature': [0, 1], 'tamagawa_product': 2, 'torsion_gens': [], 'torsion_order': 1, 'torsion_primes': [], 'torsion_structure': [], 'trace_hash': 2125864097643751743}
12. label: 2.0.1011.1-12.1-a1
    {'Lvalue': {'__RealLiteral__': 0, 'data': '10.459915478614251819527138268180741129', 'prec': 130}, 'abs_disc': 1011, 'ainvs': '0,1;1,1;1,0;1027,-73;-940,798', 'analytic_rank': 1, 'bad_primes': ['(3,w+1)', '(2)'], 'base_change': [], 'class_deg': 2, 'class_label': '2.0.1011.1-12.1-a', 'class_size': 2, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(6,2*w+2)', 'conductor_label': '12.1', 'conductor_norm': 12, 'conductor_norm_factors': [2, 3], 'degree': 2, 'disc': '(-50948352*a-2122846704)', 'equation': '{y}^2+a{x}{y}+{y}={x}^3+\\left(a+1\\right){x}^2+\\left(-73a+1027\\right){x}+798a-940', 'field_label': '2.0.1011.1', 'galois_images': ['2B'], 'gens': ['[[101/11,-79/121],[-12941/121,-8399/1331],[1,0]]'], 'heights': [{'__RealLiteral__': 0, 'data': '2.5319300052580533370327119732296952579', 'prec': 130}], 'iso_label': 'a', 'iso_nlabel': 0, 'isodeg': [1, 2], 'isogeny_matrix': [[1, 2], [2, 1]], 'jinv': '3048625/1296,0', 'label': '2.0.1011.1-12.1-a1', 'local_data': [{'p': '(3,w+1)', 'cp': 8, 'kod': 12, 'red': 1, 'normp': 3, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 8, 'ord_den_j': 8}, {'p': '(11,w)', 'cp': 1, 'kod': 1, 'red': None, 'normp': 11, 'rootno': 1, 'ord_cond': 0, 'ord_disc': 0, 'ord_den_j': 0}, {'p': '(2)', 'cp': 4, 'kod': 8, 'red': 1, 'normp': 4, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 4, 'ord_den_j': 4}], 'minD': '(1296)', 'n_bad_primes': 2, 'ngens': 1, 'non_min_p': ['(11,w)'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'normdisc': 5271354516394619136, 'number': 1, 'omega': {'__RealLiteral__': 0, 'data': '8.2097905009185503370847241756416978147', 'prec': 130}, 'potential_good_reduction': False, 'q_curve': True, 'rank': 1, 'rank_bounds': [1, 1], 'reducible_primes': [2], 'reg': {'__RealLiteral__': 0, 'data': '2.5319300052580533370327119732296952579', 'prec': 130}, 'root_analytic_conductor': 5.288219129196907, 'semistable': True, 'sha': 1, 'short_class_label': '12.1-a', 'short_label': '12.1-a1', 'signature': [0, 1], 'tamagawa_product': 32, 'torsion_gens': ['[[7,-1],[-127,-3],[1,0]]'], 'torsion_order': 2, 'torsion_primes': [2], 'torsion_structure': [2], 'trace_hash': 733129252351853045}
13. label: 2.0.1011.1-12.1-a2
    {'Lvalue': {'__RealLiteral__': 0, 'data': '10.459915478614251819527138268180741129', 'prec': 130}, 'abs_disc': 1011, 'ainvs': '0,1;1,1;1,0;147,-213;20092,6806', 'analytic_rank': 1, 'bad_primes': ['(3,w+1)', '(2)'], 'base_change': [], 'class_deg': 2, 'class_label': '2.0.1011.1-12.1-a', 'class_size': 2, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(6,2*w+2)', 'conductor_label': '12.1', 'conductor_norm': 12, 'conductor_norm_factors': [2, 3], 'degree': 2, 'disc': '(-1031704128*a-42987645756)', 'equation': '{y}^2+a{x}{y}+{y}={x}^3+\\left(a+1\\right){x}^2+\\left(-213a+147\\right){x}+6806a+20092', 'field_label': '2.0.1011.1', 'galois_images': ['2B'], 'gens': ['[[2965/33,-79/121],[469171/1089,-661231/11979],[1,0]]'], 'heights': [{'__RealLiteral__': 0, 'data': '5.0638600105161066740654239464593905158', 'prec': 130}], 'iso_label': 'a', 'iso_nlabel': 0, 'isodeg': [1, 2], 'isogeny_matrix': [[1, 2], [2, 1]], 'jinv': '1349232625/26244,0', 'label': '2.0.1011.1-12.1-a2', 'local_data': [{'p': '(3,w+1)', 'cp': 16, 'kod': 20, 'red': 1, 'normp': 3, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 16, 'ord_den_j': 16}, {'p': '(11,w)', 'cp': 1, 'kod': 1, 'red': None, 'normp': 11, 'rootno': 1, 'ord_cond': 0, 'ord_disc': 0, 'ord_den_j': 0}, {'p': '(2)', 'cp': 2, 'kod': 6, 'red': 1, 'normp': 4, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 2, 'ord_den_j': 2}], 'minD': '(26244)', 'n_bad_primes': 2, 'ngens': 1, 'non_min_p': ['(11,w)'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'normdisc': 2161584811379068509456, 'number': 2, 'omega': {'__RealLiteral__': 0, 'data': '4.1048952504592751685423620878208489073', 'prec': 130}, 'potential_good_reduction': False, 'q_curve': True, 'rank': 1, 'rank_bounds': [1, 1], 'reducible_primes': [2], 'reg': {'__RealLiteral__': 0, 'data': '5.0638600105161066740654239464593905158', 'prec': 130}, 'root_analytic_conductor': 5.288219129196907, 'semistable': True, 'sha': 1, 'short_class_label': '12.1-a', 'short_label': '12.1-a2', 'signature': [0, 1], 'tamagawa_product': 32, 'torsion_gens': ['[[193/4,3/4],[755/8,-49/2],[1,0]]'], 'torsion_order': 2, 'torsion_primes': [2], 'torsion_structure': [2], 'trace_hash': 733129252351853045}
14. label: 2.0.1011.1-12.1-b1
    {'Lvalue': {'__RealLiteral__': 0, 'data': '10.459915478614251819527138268180741129', 'prec': 130}, 'abs_disc': 1011, 'ainvs': '1,1;-1,1;1,1;1079,-54;-3815,281', 'analytic_rank': 1, 'bad_primes': ['(3,w+1)', '(2)'], 'base_change': [], 'class_deg': 2, 'class_label': '2.0.1011.1-12.1-b', 'class_size': 2, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(6,2*w+2)', 'conductor_label': '12.1', 'conductor_norm': 12, 'conductor_norm_factors': [2, 3], 'degree': 2, 'disc': '(50948352*a-2173795056)', 'equation': '{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3+\\left(a-1\\right){x}^2+\\left(-54a+1079\\right){x}+281a-3815', 'field_label': '2.0.1011.1', 'galois_images': ['2B'], 'gens': [], 'heights': [], 'iso_label': 'b', 'iso_nlabel': 1, 'isodeg': [1, 2], 'isogeny_matrix': [[1, 2], [2, 1]], 'jinv': '3048625/1296,0', 'label': '2.0.1011.1-12.1-b1', 'local_data': [{'p': '(3,w+1)', 'cp': 8, 'kod': 12, 'red': 1, 'normp': 3, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 8, 'ord_den_j': 8}, {'p': '(11,w+10)', 'cp': 1, 'kod': 1, 'red': None, 'normp': 11, 'rootno': 1, 'ord_cond': 0, 'ord_disc': 0, 'ord_den_j': 0}, {'p': '(2)', 'cp': 4, 'kod': 8, 'red': 1, 'normp': 4, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 4, 'ord_den_j': 4}], 'minD': '(1296)', 'n_bad_primes': 2, 'ngens': 0, 'non_min_p': ['(11,w+10)'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'normdisc': 5271354516394619136, 'number': 1, 'omega': {'__RealLiteral__': 0, 'data': '8.2097905009185503370847241756416978147', 'prec': 130}, 'potential_good_reduction': False, 'q_curve': True, 'rank_bounds': [0, 1], 'reducible_primes': [2], 'reg': 1, 'root_analytic_conductor': 5.288219129196907, 'semistable': True, 'short_class_label': '12.1-b', 'short_label': '12.1-b1', 'signature': [0, 1], 'tamagawa_product': 32, 'torsion_gens': ['[[7,0],[-4,-4],[1,0]]'], 'torsion_order': 2, 'torsion_primes': [2], 'torsion_structure': [2], 'trace_hash': 733129252351853045}
15. label: 2.0.1011.1-12.1-b2
    {'Lvalue': {'__RealLiteral__': 0, 'data': '10.459915478614251819527138268180741129', 'prec': 130}, 'abs_disc': 1011, 'ainvs': '1,1;-1,1;1,1;59,86;-11175,-6747', 'analytic_rank': 1, 'bad_primes': ['(3,w+1)', '(2)'], 'base_change': [], 'class_deg': 2, 'class_label': '2.0.1011.1-12.1-b', 'class_size': 2, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(6,2*w+2)', 'conductor_label': '12.1', 'conductor_norm': 12, 'conductor_norm_factors': [2, 3], 'degree': 2, 'disc': '(1031704128*a-44019349884)', 'equation': '{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3+\\left(a-1\\right){x}^2+\\left(86a+59\\right){x}-6747a-11175', 'field_label': '2.0.1011.1', 'galois_images': ['2B'], 'gens': [], 'heights': [], 'iso_label': 'b', 'iso_nlabel': 1, 'isodeg': [1, 2], 'isogeny_matrix': [[1, 2], [2, 1]], 'jinv': '1349232625/26244,0', 'label': '2.0.1011.1-12.1-b2', 'local_data': [{'p': '(3,w+1)', 'cp': 16, 'kod': 20, 'red': 1, 'normp': 3, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 16, 'ord_den_j': 16}, {'p': '(11,w+10)', 'cp': 1, 'kod': 1, 'red': None, 'normp': 11, 'rootno': 1, 'ord_cond': 0, 'ord_disc': 0, 'ord_den_j': 0}, {'p': '(2)', 'cp': 2, 'kod': 6, 'red': 1, 'normp': 4, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 2, 'ord_den_j': 2}], 'minD': '(26244)', 'n_bad_primes': 2, 'ngens': 0, 'non_min_p': ['(11,w+10)'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'normdisc': 2161584811379068509456, 'number': 2, 'omega': {'__RealLiteral__': 0, 'data': '4.1048952504592751685423620878208489073', 'prec': 130}, 'potential_good_reduction': False, 'q_curve': True, 'rank_bounds': [0, 1], 'reducible_primes': [2], 'reg': 1, 'root_analytic_conductor': 5.288219129196907, 'semistable': True, 'short_class_label': '12.1-b', 'short_label': '12.1-b2', 'signature': [0, 1], 'tamagawa_product': 32, 'torsion_gens': ['[[50,-7/4],[-1975/8,-95/4],[1,0]]'], 'torsion_order': 2, 'torsion_primes': [2], 'torsion_structure': [2], 'trace_hash': 733129252351853045}
16. label: 2.0.1012.1-11.1-a1
    {'Lvalue': {'__RealLiteral__': 0, 'data': '2.0556570178323669240100344340323607588', 'prec': 130}, 'abs_disc': 1012, 'ainvs': '0,0;1,0;0,1;-946260,0;-354609576,0', 'analytic_rank': 1, 'bad_primes': ['(11,w)'], 'base_change': ['1936g3', '5819a3'], 'class_deg': 25, 'class_label': '2.0.1012.1-11.1-a', 'class_size': 3, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(11,w)', 'conductor_label': '11.1', 'conductor_norm': 11, 'conductor_norm_factors': [11], 'degree': 2, 'disc': '(19487171)', 'equation': '{y}^2+a{y}={x}^3+{x}^2-946260{x}-354609576', 'field_label': '2.0.1012.1', 'galois_images': ['5Cs.4.1'], 'gens': ['[[76909878349/792100,0],[-21328167502260157/704969000,-1/2],[1,0]]'], 'heights': [{'__RealLiteral__': 0, 'data': '22.074302010740154628771997449501788395', 'prec': 130}], 'iso_label': 'a', 'iso_nlabel': 0, 'isodeg': [1, 5, 25], 'isogeny_matrix': [[1, 5, 25], [5, 1, 5], [25, 5, 1]], 'jinv': '-52893159101157376/11,0', 'label': '2.0.1012.1-11.1-a1', 'local_data': [{'p': '(11,w)', 'cp': 2, 'kod': 6, 'red': -1, 'normp': 11, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 2, 'ord_den_j': 2}], 'minD': '(11)', 'n_bad_primes': 1, 'ngens': 1, 'non_min_p': ['(11,w)'], 'nonmax_primes': [5], 'nonmax_rad': 5, 'normdisc': 379749833583241, 'number': 1, 'omega': {'__RealLiteral__': 0, 'data': '0.74061744938238372708320268473009955547', 'prec': 133}, 'potential_good_reduction': False, 'q_curve': True, 'rank': 1, 'rank_bounds': [1, 1], 'reducible_primes': [5], 'reg': {'__RealLiteral__': 0, 'data': '22.074302010740154628771997449501788395', 'prec': 130}, 'root_analytic_conductor': 5.176985886961514, 'semistable': True, 'sha': 1, 'short_class_label': '11.1-a', 'short_label': '11.1-a1', 'signature': [0, 1], 'tamagawa_product': 2, 'torsion_gens': [], 'torsion_order': 1, 'torsion_primes': [], 'torsion_structure': [], 'trace_hash': 431334664649312737}
17. label: 2.0.1012.1-11.1-a2
    {'Lvalue': {'__RealLiteral__': 0, 'data': '2.0556570178323669240100344340323607588', 'prec': 130}, 'abs_disc': 1012, 'ainvs': '0,0;1,0;0,1;-1250,0;-31176,0', 'analytic_rank': 1, 'bad_primes': ['(11,w)'], 'base_change': ['1936g2', '5819a2'], 'class_deg': 25, 'class_label': '2.0.1012.1-11.1-a', 'class_size': 3, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(11,w)', 'conductor_label': '11.1', 'conductor_norm': 11, 'conductor_norm_factors': [11], 'degree': 2, 'disc': '(285311670611)', 'equation': '{y}^2+a{y}={x}^3+{x}^2-1250{x}-31176', 'field_label': '2.0.1012.1', 'galois_images': ['5Cs.4.1'], 'gens': ['[[15869/100,0],[-1947253/1000,-1/2],[1,0]]'], 'heights': [{'__RealLiteral__': 0, 'data': '4.4148604021480309257543994899003576789', 'prec': 130}], 'iso_label': 'a', 'iso_nlabel': 0, 'isodeg': [1, 5], 'isogeny_matrix': [[1, 5, 25], [5, 1, 5], [25, 5, 1]], 'jinv': '-122023936/161051,0', 'label': '2.0.1012.1-11.1-a2', 'local_data': [{'p': '(11,w)', 'cp': 2, 'kod': 14, 'red': -1, 'normp': 11, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 10, 'ord_den_j': 10}], 'minD': '(161051)', 'n_bad_primes': 1, 'ngens': 1, 'non_min_p': ['(11,w)'], 'nonmax_primes': [5], 'nonmax_rad': 5, 'normdisc': 81402749386839761113321, 'number': 2, 'omega': {'__RealLiteral__': 0, 'data': '3.7030872469119186354160134236504977773', 'prec': 130}, 'potential_good_reduction': False, 'q_curve': True, 'rank': 1, 'rank_bounds': [1, 1], 'reducible_primes': [5], 'reg': {'__RealLiteral__': 0, 'data': '4.4148604021480309257543994899003576789', 'prec': 130}, 'root_analytic_conductor': 5.176985886961514, 'semistable': True, 'sha': 1, 'short_class_label': '11.1-a', 'short_label': '11.1-a2', 'signature': [0, 1], 'tamagawa_product': 2, 'torsion_gens': [], 'torsion_order': 1, 'torsion_primes': [], 'torsion_structure': [], 'trace_hash': 431334664649312737}
18. label: 2.0.1012.1-11.1-a3
    {'Lvalue': {'__RealLiteral__': 0, 'data': '2.0556570178323669240100344340323607588', 'prec': 130}, 'abs_disc': 1012, 'ainvs': '0,0;1,0;0,1;-40,0;284,0', 'analytic_rank': 1, 'bad_primes': ['(11,w)'], 'base_change': ['5819a1', '1936g1'], 'class_deg': 25, 'class_label': '2.0.1012.1-11.1-a', 'class_size': 3, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(11,w)', 'conductor_label': '11.1', 'conductor_norm': 11, 'conductor_norm_factors': [11], 'degree': 2, 'disc': '(19487171)', 'equation': '{y}^2+a{y}={x}^3+{x}^2-40{x}+284', 'field_label': '2.0.1012.1', 'galois_images': ['5Cs.4.1'], 'gens': ['[[-27/4,0],[-121/8,-1/2],[1,0]]'], 'heights': [{'__RealLiteral__': 0, 'data': '0.88297208042960618515087989798007153579', 'prec': 133}], 'iso_label': 'a', 'iso_nlabel': 0, 'isodeg': [1, 5, 25], 'isogeny_matrix': [[1, 5, 25], [5, 1, 5], [25, 5, 1]], 'jinv': '-4096/11,0', 'label': '2.0.1012.1-11.1-a3', 'local_data': [{'p': '(11,w)', 'cp': 2, 'kod': 6, 'red': -1, 'normp': 11, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 2, 'ord_den_j': 2}], 'minD': '(11)', 'n_bad_primes': 1, 'ngens': 1, 'non_min_p': ['(11,w)'], 'nonmax_primes': [5], 'nonmax_rad': 5, 'normdisc': 379749833583241, 'number': 3, 'omega': {'__RealLiteral__': 0, 'data': '18.515436234559593177080067118252488887', 'prec': 130}, 'potential_good_reduction': False, 'q_curve': True, 'rank': 1, 'rank_bounds': [1, 1], 'reducible_primes': [5], 'reg': {'__RealLiteral__': 0, 'data': '0.88297208042960618515087989798007153579', 'prec': 133}, 'root_analytic_conductor': 5.176985886961514, 'semistable': True, 'sha': 1, 'short_class_label': '11.1-a', 'short_label': '11.1-a3', 'signature': [0, 1], 'tamagawa_product': 2, 'torsion_gens': [], 'torsion_order': 1, 'torsion_primes': [], 'torsion_structure': [], 'trace_hash': 431334664649312737}
19. label: 2.0.1012.1-11.1-b1
    {'Lvalue': {'__RealLiteral__': 0, 'data': '0.046562220106261933818104307061408446448', 'prec': 137}, 'abs_disc': 1012, 'ainvs': '0,0;-1,0;1,0;-7820,0;-263580,0', 'analytic_rank': 0, 'bad_primes': ['(11,w)'], 'base_change': ['11a2', '1024144.?.?'], 'class_deg': 25, 'class_label': '2.0.1012.1-11.1-b', 'class_size': 3, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(11,w)', 'conductor_label': '11.1', 'conductor_norm': 11, 'conductor_norm_factors': [11], 'degree': 2, 'disc': '(11)', 'equation': '{y}^2+{y}={x}^3-{x}^2-7820{x}-263580', 'field_label': '2.0.1012.1', 'galois_images': ['5Cs.1.1'], 'gens': [], 'heights': [], 'iso_label': 'b', 'iso_nlabel': 1, 'isodeg': [1, 5, 25], 'isogeny_matrix': [[1, 5, 25], [5, 1, 5], [25, 5, 1]], 'jinv': '-52893159101157376/11,0', 'label': '2.0.1012.1-11.1-b1', 'local_data': [{'p': '(11,w)', 'cp': 2, 'kod': 6, 'red': 1, 'normp': 11, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 2, 'ord_den_j': 2}], 'minD': '(11)', 'n_bad_primes': 1, 'ngens': 0, 'non_min_p': [], 'nonmax_primes': [5], 'nonmax_rad': 5, 'normdisc': 121, 'number': 1, 'omega': {'__RealLiteral__': 0, 'data': '0.74061744938238372708320268473009955547', 'prec': 133}, 'potential_good_reduction': False, 'q_curve': True, 'rank': 0, 'rank_bounds': [0, 0], 'reducible_primes': [5], 'reg': 1, 'root_analytic_conductor': 5.176985886961514, 'semistable': True, 'sha': 1, 'short_class_label': '11.1-b', 'short_label': '11.1-b1', 'signature': [0, 1], 'tamagawa_product': 2, 'torsion_gens': [], 'torsion_order': 1, 'torsion_primes': [], 'torsion_structure': [], 'trace_hash': 162301781699214851}
20. label: 2.0.1012.1-11.1-b2
    {'Lvalue': {'__RealLiteral__': 0, 'data': '0.046562220106261933818104307061408446448', 'prec': 137}, 'abs_disc': 1012, 'ainvs': '0,0;-1,0;1,0;-10,0;-20,0', 'analytic_rank': 0, 'bad_primes': ['(11,w)'], 'base_change': ['11a1', '1024144.?.?'], 'class_deg': 25, 'class_label': '2.0.1012.1-11.1-b', 'class_size': 3, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(11,w)', 'conductor_label': '11.1', 'conductor_norm': 11, 'conductor_norm_factors': [11], 'degree': 2, 'disc': '(161051)', 'equation': '{y}^2+{y}={x}^3-{x}^2-10{x}-20', 'field_label': '2.0.1012.1', 'galois_images': ['5Cs.1.1'], 'gens': [], 'heights': [], 'iso_label': 'b', 'iso_nlabel': 1, 'isodeg': [1, 5], 'isogeny_matrix': [[1, 5, 25], [5, 1, 5], [25, 5, 1]], 'jinv': '-122023936/161051,0', 'label': '2.0.1012.1-11.1-b2', 'local_data': [{'p': '(11,w)', 'cp': 10, 'kod': 14, 'red': 1, 'normp': 11, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 10, 'ord_den_j': 10}], 'minD': '(161051)', 'n_bad_primes': 1, 'ngens': 0, 'non_min_p': [], 'nonmax_primes': [5], 'nonmax_rad': 5, 'normdisc': 25937424601, 'number': 2, 'omega': {'__RealLiteral__': 0, 'data': '3.7030872469119186354160134236504977773', 'prec': 130}, 'potential_good_reduction': False, 'q_curve': True, 'rank': 0, 'rank_bounds': [0, 0], 'reducible_primes': [5], 'reg': 1, 'root_analytic_conductor': 5.176985886961514, 'semistable': True, 'sha': 1, 'short_class_label': '11.1-b', 'short_label': '11.1-b2', 'signature': [0, 1], 'tamagawa_product': 10, 'torsion_gens': ['[[5,0],[-6,0],[1,0]]'], 'torsion_order': 5, 'torsion_primes': [5], 'torsion_structure': [5], 'trace_hash': 162301781699214851}
21. label: 2.0.1012.1-11.1-b3
    {'Lvalue': {'__RealLiteral__': 0, 'data': '0.046562220106261933818104307061408446448', 'prec': 137}, 'abs_disc': 1012, 'ainvs': '0,0;-1,0;1,0;0,0;0,0', 'analytic_rank': 0, 'bad_primes': ['(11,w)'], 'base_change': ['1024144.?.?', '11a3'], 'class_deg': 25, 'class_label': '2.0.1012.1-11.1-b', 'class_size': 3, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(11,w)', 'conductor_label': '11.1', 'conductor_norm': 11, 'conductor_norm_factors': [11], 'degree': 2, 'disc': '(11)', 'equation': '{y}^2+{y}={x}^3-{x}^2', 'field_label': '2.0.1012.1', 'galois_images': ['5Cs.1.1'], 'gens': [], 'heights': [], 'iso_label': 'b', 'iso_nlabel': 1, 'isodeg': [1, 5, 25], 'isogeny_matrix': [[1, 5, 25], [5, 1, 5], [25, 5, 1]], 'jinv': '-4096/11,0', 'label': '2.0.1012.1-11.1-b3', 'local_data': [{'p': '(11,w)', 'cp': 2, 'kod': 6, 'red': 1, 'normp': 11, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 2, 'ord_den_j': 2}], 'minD': '(11)', 'n_bad_primes': 1, 'ngens': 0, 'non_min_p': [], 'nonmax_primes': [5], 'nonmax_rad': 5, 'normdisc': 121, 'number': 3, 'omega': {'__RealLiteral__': 0, 'data': '18.515436234559593177080067118252488887', 'prec': 130}, 'potential_good_reduction': False, 'q_curve': True, 'rank': 0, 'rank_bounds': [0, 0], 'reducible_primes': [5], 'reg': 1, 'root_analytic_conductor': 5.176985886961514, 'semistable': True, 'sha': 1, 'short_class_label': '11.1-b', 'short_label': '11.1-b3', 'signature': [0, 1], 'tamagawa_product': 2, 'torsion_gens': ['[[0,0],[-1,0],[1,0]]'], 'torsion_order': 5, 'torsion_primes': [5], 'torsion_structure': [5], 'trace_hash': 162301781699214851}
22. label: 2.0.1012.1-11.1-c1
    {'Lvalue': {'__RealLiteral__': 0, 'data': '9.1416921360476462552972916303153017148', 'prec': 130}, 'abs_disc': 1012, 'ainvs': '0,0;1,0;0,1;-7820,0;263643,0', 'analytic_rank': 1, 'bad_primes': ['(11,w)'], 'base_change': ['64009d3', '176b3'], 'class_deg': 25, 'class_label': '2.0.1012.1-11.1-c', 'class_size': 3, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(11,w)', 'conductor_label': '11.1', 'conductor_norm': 11, 'conductor_norm_factors': [11], 'degree': 2, 'disc': '(11)', 'equation': '{y}^2+a{y}={x}^3+{x}^2-7820{x}+263643', 'field_label': '2.0.1012.1', 'galois_images': ['5Cs.4.1'], 'gens': ['[[-7778286564432406792252067216281886496577751/919074361358288307930225724278896668092,0],[0,-6540102231140059659103076654019654967076587702117918901193176483/133625669667780355031671297223963259246166390671927462903768],[1,0]]'], 'heights': [{'__RealLiteral__': 0, 'data': '98.166411687253537004398185951566906758', 'prec': 130}], 'iso_label': 'c', 'iso_nlabel': 2, 'isodeg': [1, 5, 25], 'isogeny_matrix': [[1, 5, 25], [5, 1, 5], [25, 5, 1]], 'jinv': '-52893159101157376/11,0', 'label': '2.0.1012.1-11.1-c1', 'local_data': [{'p': '(11,w)', 'cp': 2, 'kod': 6, 'red': -1, 'normp': 11, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 2, 'ord_den_j': 2}], 'minD': '(11)', 'n_bad_primes': 1, 'ngens': 1, 'non_min_p': [], 'nonmax_primes': [5], 'nonmax_rad': 5, 'normdisc': 121, 'number': 1, 'omega': {'__RealLiteral__': 0, 'data': '0.74061744938238372708320268473009955547', 'prec': 133}, 'potential_good_reduction': False, 'q_curve': True, 'rank': 1, 'rank_bounds': [1, 1], 'reducible_primes': [5], 'reg': {'__RealLiteral__': 0, 'data': '98.166411687253537004398185951566906758', 'prec': 130}, 'root_analytic_conductor': 5.176985886961514, 'semistable': True, 'sha': 1, 'short_class_label': '11.1-c', 'short_label': '11.1-c1', 'signature': [0, 1], 'tamagawa_product': 2, 'torsion_gens': [], 'torsion_order': 1, 'torsion_primes': [], 'torsion_structure': [], 'trace_hash': 1608347638128095275}
23. label: 2.0.1012.1-11.1-c2
    {'Lvalue': {'__RealLiteral__': 0, 'data': '9.1416921360476462552972916303153017148', 'prec': 130}, 'abs_disc': 1012, 'ainvs': '0,0;1,0;0,1;-10,0;83,0', 'analytic_rank': 1, 'bad_primes': ['(11,w)'], 'base_change': ['64009d2', '176b2'], 'class_deg': 25, 'class_label': '2.0.1012.1-11.1-c', 'class_size': 3, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(11,w)', 'conductor_label': '11.1', 'conductor_norm': 11, 'conductor_norm_factors': [11], 'degree': 2, 'disc': '(161051)', 'equation': '{y}^2+a{y}={x}^3+{x}^2-10{x}+83', 'field_label': '2.0.1012.1', 'galois_images': ['5Cs.4.1'], 'gens': ['[[-6734068247/795708,0],[0,-166609082949325/3404038824],[1,0]]'], 'heights': [{'__RealLiteral__': 0, 'data': '19.633282337450707400879637190313381352', 'prec': 130}], 'iso_label': 'c', 'iso_nlabel': 2, 'isodeg': [1, 5], 'isogeny_matrix': [[1, 5, 25], [5, 1, 5], [25, 5, 1]], 'jinv': '-122023936/161051,0', 'label': '2.0.1012.1-11.1-c2', 'local_data': [{'p': '(11,w)', 'cp': 2, 'kod': 14, 'red': -1, 'normp': 11, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 10, 'ord_den_j': 10}], 'minD': '(161051)', 'n_bad_primes': 1, 'ngens': 1, 'non_min_p': [], 'nonmax_primes': [5], 'nonmax_rad': 5, 'normdisc': 25937424601, 'number': 2, 'omega': {'__RealLiteral__': 0, 'data': '3.7030872469119186354160134236504977773', 'prec': 130}, 'potential_good_reduction': False, 'q_curve': True, 'rank': 1, 'rank_bounds': [1, 1], 'reducible_primes': [5], 'reg': {'__RealLiteral__': 0, 'data': '19.633282337450707400879637190313381352', 'prec': 130}, 'root_analytic_conductor': 5.176985886961514, 'semistable': True, 'sha': 1, 'short_class_label': '11.1-c', 'short_label': '11.1-c2', 'signature': [0, 1], 'tamagawa_product': 2, 'torsion_gens': [], 'torsion_order': 1, 'torsion_primes': [], 'torsion_structure': [], 'trace_hash': 1608347638128095275}
24. label: 2.0.1012.1-11.1-c3
    {'Lvalue': {'__RealLiteral__': 0, 'data': '9.1416921360476462552972916303153017148', 'prec': 130}, 'abs_disc': 1012, 'ainvs': '0,0;1,0;0,1;0,0;63,0', 'analytic_rank': 1, 'bad_primes': ['(11,w)'], 'base_change': ['176b1', '64009d1'], 'class_deg': 25, 'class_label': '2.0.1012.1-11.1-c', 'class_size': 3, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(11,w)', 'conductor_label': '11.1', 'conductor_norm': 11, 'conductor_norm_factors': [11], 'degree': 2, 'disc': '(11)', 'equation': '{y}^2+a{y}={x}^3+{x}^2+63', 'field_label': '2.0.1012.1', 'galois_images': ['5Cs.4.1'], 'gens': ['[[1/92,0],[0,-2249/4232],[1,0]]'], 'heights': [{'__RealLiteral__': 0, 'data': '3.9266564674901414801759274380626762703', 'prec': 130}], 'iso_label': 'c', 'iso_nlabel': 2, 'isodeg': [1, 5, 25], 'isogeny_matrix': [[1, 5, 25], [5, 1, 5], [25, 5, 1]], 'jinv': '-4096/11,0', 'label': '2.0.1012.1-11.1-c3', 'local_data': [{'p': '(11,w)', 'cp': 2, 'kod': 6, 'red': -1, 'normp': 11, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 2, 'ord_den_j': 2}], 'minD': '(11)', 'n_bad_primes': 1, 'ngens': 1, 'non_min_p': [], 'nonmax_primes': [5], 'nonmax_rad': 5, 'normdisc': 121, 'number': 3, 'omega': {'__RealLiteral__': 0, 'data': '18.515436234559593177080067118252488887', 'prec': 130}, 'potential_good_reduction': False, 'q_curve': True, 'rank': 1, 'rank_bounds': [1, 1], 'reducible_primes': [5], 'reg': {'__RealLiteral__': 0, 'data': '3.9266564674901414801759274380626762703', 'prec': 130}, 'root_analytic_conductor': 5.176985886961514, 'semistable': True, 'sha': 1, 'short_class_label': '11.1-c', 'short_label': '11.1-c3', 'signature': [0, 1], 'tamagawa_product': 2, 'torsion_gens': [], 'torsion_order': 1, 'torsion_primes': [], 'torsion_structure': [], 'trace_hash': 1608347638128095275}
25. label: 2.0.1012.1-11.1-d1
    {'Lvalue': {'__RealLiteral__': 0, 'data': '1.1640555026565483454526076765352111612', 'prec': 130}, 'abs_disc': 1012, 'ainvs': '0,0;-1,0;1,0;-946260,0;354609639,0', 'analytic_rank': 0, 'bad_primes': ['(11,w)'], 'base_change': ['93104z3', '121d3'], 'class_deg': 25, 'class_label': '2.0.1012.1-11.1-d', 'class_size': 3, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(11,w)', 'conductor_label': '11.1', 'conductor_norm': 11, 'conductor_norm_factors': [11], 'degree': 2, 'disc': '(19487171)', 'equation': '{y}^2+{y}={x}^3-{x}^2-946260{x}+354609639', 'field_label': '2.0.1012.1', 'galois_images': ['5Cs.4.1'], 'gens': [], 'heights': [], 'iso_label': 'd', 'iso_nlabel': 3, 'isodeg': [1, 5, 25], 'isogeny_matrix': [[1, 5, 25], [5, 1, 5], [25, 5, 1]], 'jinv': '-52893159101157376/11,0', 'label': '2.0.1012.1-11.1-d1', 'local_data': [{'p': '(11,w)', 'cp': 2, 'kod': 6, 'red': 1, 'normp': 11, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 2, 'ord_den_j': 2}], 'minD': '(11)', 'n_bad_primes': 1, 'ngens': 0, 'non_min_p': ['(11,w)'], 'nonmax_primes': [5], 'nonmax_rad': 5, 'normdisc': 379749833583241, 'number': 1, 'omega': {'__RealLiteral__': 0, 'data': '0.74061744938238372708320268473009955547', 'prec': 133}, 'potential_good_reduction': False, 'q_curve': True, 'rank': 0, 'rank_bounds': [0, 0], 'reducible_primes': [5], 'reg': 1, 'root_analytic_conductor': 5.176985886961514, 'semistable': True, 'sha': 25, 'short_class_label': '11.1-d', 'short_label': '11.1-d1', 'signature': [0, 1], 'tamagawa_product': 2, 'torsion_gens': [], 'torsion_order': 1, 'torsion_primes': [], 'torsion_structure': [], 'trace_hash': 2204756602368152212}
26. label: 2.0.1012.1-11.1-d2
    {'Lvalue': {'__RealLiteral__': 0, 'data': '1.1640555026565483454526076765352111612', 'prec': 130}, 'abs_disc': 1012, 'ainvs': '0,0;-1,0;1,0;-1250,0;31239,0', 'analytic_rank': 0, 'bad_primes': ['(11,w)'], 'base_change': ['93104z2', '121d2'], 'class_deg': 25, 'class_label': '2.0.1012.1-11.1-d', 'class_size': 3, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(11,w)', 'conductor_label': '11.1', 'conductor_norm': 11, 'conductor_norm_factors': [11], 'degree': 2, 'disc': '(285311670611)', 'equation': '{y}^2+{y}={x}^3-{x}^2-1250{x}+31239', 'field_label': '2.0.1012.1', 'galois_images': ['5Cs.4.1'], 'gens': [], 'heights': [], 'iso_label': 'd', 'iso_nlabel': 3, 'isodeg': [1, 5], 'isogeny_matrix': [[1, 5, 25], [5, 1, 5], [25, 5, 1]], 'jinv': '-122023936/161051,0', 'label': '2.0.1012.1-11.1-d2', 'local_data': [{'p': '(11,w)', 'cp': 10, 'kod': 14, 'red': 1, 'normp': 11, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 10, 'ord_den_j': 10}], 'minD': '(161051)', 'n_bad_primes': 1, 'ngens': 0, 'non_min_p': ['(11,w)'], 'nonmax_primes': [5], 'nonmax_rad': 5, 'normdisc': 81402749386839761113321, 'number': 2, 'omega': {'__RealLiteral__': 0, 'data': '3.7030872469119186354160134236504977773', 'prec': 130}, 'potential_good_reduction': False, 'q_curve': True, 'rank': 0, 'rank_bounds': [0, 0], 'reducible_primes': [5], 'reg': 1, 'root_analytic_conductor': 5.176985886961514, 'semistable': True, 'sha': 1, 'short_class_label': '11.1-d', 'short_label': '11.1-d2', 'signature': [0, 1], 'tamagawa_product': 10, 'torsion_gens': [], 'torsion_order': 1, 'torsion_primes': [], 'torsion_structure': [], 'trace_hash': 2204756602368152212}
27. label: 2.0.1012.1-11.1-d3
    {'Lvalue': {'__RealLiteral__': 0, 'data': '1.1640555026565483454526076765352111612', 'prec': 130}, 'abs_disc': 1012, 'ainvs': '0,0;-1,0;1,0;-40,0;-221,0', 'analytic_rank': 0, 'bad_primes': ['(11,w)'], 'base_change': ['121d1', '93104z1'], 'class_deg': 25, 'class_label': '2.0.1012.1-11.1-d', 'class_size': 3, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(11,w)', 'conductor_label': '11.1', 'conductor_norm': 11, 'conductor_norm_factors': [11], 'degree': 2, 'disc': '(19487171)', 'equation': '{y}^2+{y}={x}^3-{x}^2-40{x}-221', 'field_label': '2.0.1012.1', 'galois_images': ['5Cs.4.1'], 'gens': [], 'heights': [], 'iso_label': 'd', 'iso_nlabel': 3, 'isodeg': [1, 5, 25], 'isogeny_matrix': [[1, 5, 25], [5, 1, 5], [25, 5, 1]], 'jinv': '-4096/11,0', 'label': '2.0.1012.1-11.1-d3', 'local_data': [{'p': '(11,w)', 'cp': 2, 'kod': 6, 'red': 1, 'normp': 11, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 2, 'ord_den_j': 2}], 'minD': '(11)', 'n_bad_primes': 1, 'ngens': 0, 'non_min_p': ['(11,w)'], 'nonmax_primes': [5], 'nonmax_rad': 5, 'normdisc': 379749833583241, 'number': 3, 'omega': {'__RealLiteral__': 0, 'data': '18.515436234559593177080067118252488887', 'prec': 130}, 'potential_good_reduction': False, 'q_curve': True, 'rank': 0, 'rank_bounds': [0, 0], 'reducible_primes': [5], 'reg': 1, 'root_analytic_conductor': 5.176985886961514, 'semistable': True, 'sha': 1, 'short_class_label': '11.1-d', 'short_label': '11.1-d3', 'signature': [0, 1], 'tamagawa_product': 2, 'torsion_gens': [], 'torsion_order': 1, 'torsion_primes': [], 'torsion_structure': [], 'trace_hash': 2204756602368152212}
28. label: 2.0.1015.1-4.2-a1
    {'Lvalue': {'__RealLiteral__': 0, 'data': '3.4738380648576464794824323444685607372', 'prec': 130}, 'abs_disc': 1015, 'ainvs': '1,0;0,-1;1,0;140,17;-1084,-23', 'analytic_rank': 0, 'bad_primes': ['(2,w)', '(2,w+1)'], 'base_change': [], 'class_deg': 5, 'class_label': '2.0.1015.1-4.2-a', 'class_size': 2, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(2)', 'conductor_label': '4.2', 'conductor_norm': 4, 'conductor_norm_factors': [2], 'degree': 2, 'disc': '(2652544*a-65970896)', 'equation': '{y}^2+{x}{y}+{y}={x}^3-a{x}^2+\\left(17a+140\\right){x}-23a-1084', 'field_label': '2.0.1015.1', 'galois_images': ['5B'], 'gens': [], 'heights': [], 'iso_label': 'a', 'iso_nlabel': 0, 'isodeg': [1, 5], 'isogeny_matrix': [[1, 5], [5, 1]], 'jinv': '-1030301/16,0', 'label': '2.0.1015.1-4.2-a1', 'local_data': [{'p': '(2,w)', 'cp': 2, 'kod': 8, 'red': -1, 'normp': 2, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 4, 'ord_den_j': 4}, {'p': '(2,w+1)', 'cp': 4, 'kod': 8, 'red': 1, 'normp': 2, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 4, 'ord_den_j': 4}, {'p': '(13,w+2)', 'cp': 1, 'kod': 1, 'red': None, 'normp': 13, 'rootno': 1, 'ord_cond': 0, 'ord_disc': 0, 'ord_den_j': 0}], 'minD': '(16)', 'n_bad_primes': 2, 'ngens': 0, 'non_min_p': ['(13,w+2)'], 'nonmax_primes': [5], 'nonmax_rad': 5, 'normdisc': 5964309791355136, 'number': 1, 'omega': {'__RealLiteral__': 0, 'data': '13.834153933950211285237429963554949791', 'prec': 130}, 'potential_good_reduction': False, 'q_curve': True, 'rank': 0, 'rank_bounds': [0, 0], 'reducible_primes': [5], 'reg': 1, 'root_analytic_conductor': 4.026118678121637, 'semistable': True, 'sha': 1, 'short_class_label': '4.2-a', 'short_label': '4.2-a1', 'signature': [0, 1], 'tamagawa_product': 8, 'torsion_gens': [], 'torsion_order': 1, 'torsion_primes': [], 'torsion_structure': [], 'trace_hash': 880826155935606373}
29. label: 2.0.1015.1-4.2-a2
    {'Lvalue': {'__RealLiteral__': 0, 'data': '3.4738380648576464794824323444685607372', 'prec': 130}, 'abs_disc': 1015, 'ainvs': '1,0;0,-1;1,0;-1465,-103;88766,-1313', 'analytic_rank': 0, 'bad_primes': ['(2,w)', '(2,w+1)'], 'base_change': [], 'class_deg': 5, 'class_label': '2.0.1015.1-4.2-a', 'class_size': 2, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(2)', 'conductor_label': '4.2', 'conductor_norm': 4, 'conductor_norm_factors': [2], 'degree': 2, 'disc': '(173837123584*a-4323468640256)', 'equation': '{y}^2+{x}{y}+{y}={x}^3-a{x}^2+\\left(-103a-1465\\right){x}-1313a+88766', 'field_label': '2.0.1015.1', 'galois_images': ['5B'], 'gens': [], 'heights': [], 'iso_label': 'a', 'iso_nlabel': 0, 'isodeg': [1, 5], 'isogeny_matrix': [[1, 5], [5, 1]], 'jinv': '237176659/1048576,0', 'label': '2.0.1015.1-4.2-a2', 'local_data': [{'p': '(2,w)', 'cp': 2, 'kod': 24, 'red': -1, 'normp': 2, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 20, 'ord_den_j': 20}, {'p': '(2,w+1)', 'cp': 20, 'kod': 24, 'red': 1, 'normp': 2, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 20, 'ord_den_j': 20}, {'p': '(13,w+2)', 'cp': 1, 'kod': 1, 'red': None, 'normp': 13, 'rootno': 1, 'ord_cond': 0, 'ord_disc': 0, 'ord_den_j': 0}], 'minD': '(1048576)', 'n_bad_primes': 2, 'ngens': 0, 'non_min_p': ['(13,w+2)'], 'nonmax_primes': [5], 'nonmax_rad': 5, 'normdisc': 25616515497082892641632256, 'number': 2, 'omega': {'__RealLiteral__': 0, 'data': '2.7668307867900422570474859927109899581', 'prec': 130}, 'potential_good_reduction': False, 'q_curve': True, 'rank': 0, 'rank_bounds': [0, 0], 'reducible_primes': [5], 'reg': 1, 'root_analytic_conductor': 4.026118678121637, 'semistable': True, 'sha': 1, 'short_class_label': '4.2-a', 'short_label': '4.2-a2', 'signature': [0, 1], 'tamagawa_product': 40, 'torsion_gens': [], 'torsion_order': 1, 'torsion_primes': [], 'torsion_structure': [], 'trace_hash': 880826155935606373}
30. label: 2.0.1015.1-4.2-b1
    {'Lvalue': {'__RealLiteral__': 0, 'data': '3.4738380648576464794824323444685607372', 'prec': 130}, 'abs_disc': 1015, 'ainvs': '1,0;-1,1;0,0;-9993,-219;388031,9547', 'analytic_rank': 0, 'bad_primes': ['(2,w)', '(2,w+1)'], 'base_change': [], 'class_deg': 5, 'class_label': '2.0.1015.1-4.2-b', 'class_size': 2, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(2)', 'conductor_label': '4.2', 'conductor_norm': 4, 'conductor_norm_factors': [2], 'degree': 2, 'disc': '(-108587320192*a-1045188141520)', 'equation': '{y}^2+{x}{y}={x}^3+\\left(a-1\\right){x}^2+\\left(-219a-9993\\right){x}+9547a+388031', 'field_label': '2.0.1015.1', 'galois_images': ['5B'], 'gens': [], 'heights': [], 'iso_label': 'b', 'iso_nlabel': 1, 'isodeg': [1, 5], 'isogeny_matrix': [[1, 5], [5, 1]], 'jinv': '-1030301/16,0', 'label': '2.0.1015.1-4.2-b1', 'local_data': [{'p': '(2,w)', 'cp': 2, 'kod': 8, 'red': -1, 'normp': 2, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 4, 'ord_den_j': 4}, {'p': '(2,w+1)', 'cp': 4, 'kod': 8, 'red': 1, 'normp': 2, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 4, 'ord_den_j': 4}, {'p': '(71,w+5)', 'cp': 1, 'kod': 1, 'red': None, 'normp': 71, 'rootno': 1, 'ord_cond': 0, 'ord_disc': 0, 'ord_den_j': 0}], 'minD': '(16)', 'n_bad_primes': 2, 'ngens': 0, 'non_min_p': ['(71,w+5)'], 'nonmax_primes': [5], 'nonmax_rad': 5, 'normdisc': 4200878781604047650365696, 'number': 1, 'omega': {'__RealLiteral__': 0, 'data': '13.834153933950211285237429963554949791', 'prec': 130}, 'potential_good_reduction': False, 'q_curve': True, 'rank': 0, 'rank_bounds': [0, 0], 'reducible_primes': [5], 'reg': 1, 'root_analytic_conductor': 4.026118678121637, 'semistable': True, 'sha': 1, 'short_class_label': '4.2-b', 'short_label': '4.2-b1', 'signature': [0, 1], 'tamagawa_product': 8, 'torsion_gens': [], 'torsion_order': 1, 'torsion_primes': [], 'torsion_structure': [], 'trace_hash': 1735457863908804030}
31. label: 2.0.1015.1-4.2-b2
    {'Lvalue': {'__RealLiteral__': 0, 'data': '3.4738380648576464794824323444685607372', 'prec': 130}, 'abs_disc': 1015, 'ainvs': '1,0;-1,1;0,0;60642,1341;-14288554,-476483', 'analytic_rank': 0, 'bad_primes': ['(2,w)', '(2,w+1)'], 'base_change': [], 'class_deg': 5, 'class_label': '2.0.1015.1-4.2-b', 'class_size': 2, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(2)', 'conductor_label': '4.2', 'conductor_norm': 4, 'conductor_norm_factors': [2], 'degree': 2, 'disc': '(-7116378616102912*a-68497450042654720)', 'equation': '{y}^2+{x}{y}={x}^3+\\left(a-1\\right){x}^2+\\left(1341a+60642\\right){x}-476483a-14288554', 'field_label': '2.0.1015.1', 'galois_images': ['5B'], 'gens': [], 'heights': [], 'iso_label': 'b', 'iso_nlabel': 1, 'isodeg': [1, 5], 'isogeny_matrix': [[1, 5], [5, 1]], 'jinv': '237176659/1048576,0', 'label': '2.0.1015.1-4.2-b2', 'local_data': [{'p': '(2,w)', 'cp': 2, 'kod': 24, 'red': -1, 'normp': 2, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 20, 'ord_den_j': 20}, {'p': '(2,w+1)', 'cp': 20, 'kod': 24, 'red': 1, 'normp': 2, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 20, 'ord_den_j': 20}, {'p': '(71,w+5)', 'cp': 1, 'kod': 1, 'red': None, 'normp': 71, 'rootno': 1, 'ord_cond': 0, 'ord_disc': 0, 'ord_den_j': 0}], 'minD': '(1048576)', 'n_bad_primes': 2, 'ngens': 0, 'non_min_p': ['(71,w+5)'], 'nonmax_primes': [5], 'nonmax_rad': 5, 'normdisc': 18042636981449711079546306760278016, 'number': 2, 'omega': {'__RealLiteral__': 0, 'data': '2.7668307867900422570474859927109899581', 'prec': 130}, 'potential_good_reduction': False, 'q_curve': True, 'rank': 0, 'rank_bounds': [0, 0], 'reducible_primes': [5], 'reg': 1, 'root_analytic_conductor': 4.026118678121637, 'semistable': True, 'sha': 1, 'short_class_label': '4.2-b', 'short_label': '4.2-b2', 'signature': [0, 1], 'tamagawa_product': 40, 'torsion_gens': [], 'torsion_order': 1, 'torsion_primes': [], 'torsion_structure': [], 'trace_hash': 1735457863908804030}
32. label: 2.0.1015.1-4.2-c1
    {'Lvalue': {'__RealLiteral__': 0, 'data': '3.4738380648576464794824323444685607372', 'prec': 130}, 'abs_disc': 1015, 'ainvs': '1,0;-1,1;1,0;157,-17;-1107,23', 'analytic_rank': 0, 'bad_primes': ['(2,w)', '(2,w+1)'], 'base_change': [], 'class_deg': 5, 'class_label': '2.0.1015.1-4.2-c', 'class_size': 2, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(2)', 'conductor_label': '4.2', 'conductor_norm': 4, 'conductor_norm_factors': [2], 'degree': 2, 'disc': '(-2652544*a-63318352)', 'equation': '{y}^2+{x}{y}+{y}={x}^3+\\left(a-1\\right){x}^2+\\left(-17a+157\\right){x}+23a-1107', 'field_label': '2.0.1015.1', 'galois_images': ['5B'], 'gens': [], 'heights': [], 'iso_label': 'c', 'iso_nlabel': 2, 'isodeg': [1, 5], 'isogeny_matrix': [[1, 5], [5, 1]], 'jinv': '-1030301/16,0', 'label': '2.0.1015.1-4.2-c1', 'local_data': [{'p': '(2,w)', 'cp': 4, 'kod': 8, 'red': 1, 'normp': 2, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 4, 'ord_den_j': 4}, {'p': '(2,w+1)', 'cp': 2, 'kod': 8, 'red': -1, 'normp': 2, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 4, 'ord_den_j': 4}, {'p': '(13,w+10)', 'cp': 1, 'kod': 1, 'red': None, 'normp': 13, 'rootno': 1, 'ord_cond': 0, 'ord_disc': 0, 'ord_den_j': 0}], 'minD': '(16)', 'n_bad_primes': 2, 'ngens': 0, 'non_min_p': ['(13,w+10)'], 'nonmax_primes': [5], 'nonmax_rad': 5, 'normdisc': 5964309791355136, 'number': 1, 'omega': {'__RealLiteral__': 0, 'data': '13.834153933950211285237429963554949791', 'prec': 130}, 'potential_good_reduction': False, 'q_curve': True, 'rank': 0, 'rank_bounds': [0, 0], 'reducible_primes': [5], 'reg': 1, 'root_analytic_conductor': 4.026118678121637, 'semistable': True, 'sha': 1, 'short_class_label': '4.2-c', 'short_label': '4.2-c1', 'signature': [0, 1], 'tamagawa_product': 8, 'torsion_gens': [], 'torsion_order': 1, 'torsion_primes': [], 'torsion_structure': [], 'trace_hash': 880826155935606373}
33. label: 2.0.1015.1-4.2-c2
    {'Lvalue': {'__RealLiteral__': 0, 'data': '3.4738380648576464794824323444685607372', 'prec': 130}, 'abs_disc': 1015, 'ainvs': '1,0;-1,1;1,0;-1568,103;87453,1313', 'analytic_rank': 0, 'bad_primes': ['(2,w)', '(2,w+1)'], 'base_change': [], 'class_deg': 5, 'class_label': '2.0.1015.1-4.2-c', 'class_size': 2, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(2)', 'conductor_label': '4.2', 'conductor_norm': 4, 'conductor_norm_factors': [2], 'degree': 2, 'disc': '(-173837123584*a-4149631516672)', 'equation': '{y}^2+{x}{y}+{y}={x}^3+\\left(a-1\\right){x}^2+\\left(103a-1568\\right){x}+1313a+87453', 'field_label': '2.0.1015.1', 'galois_images': ['5B'], 'gens': [], 'heights': [], 'iso_label': 'c', 'iso_nlabel': 2, 'isodeg': [1, 5], 'isogeny_matrix': [[1, 5], [5, 1]], 'jinv': '237176659/1048576,0', 'label': '2.0.1015.1-4.2-c2', 'local_data': [{'p': '(2,w)', 'cp': 20, 'kod': 24, 'red': 1, 'normp': 2, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 20, 'ord_den_j': 20}, {'p': '(2,w+1)', 'cp': 2, 'kod': 24, 'red': -1, 'normp': 2, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 20, 'ord_den_j': 20}, {'p': '(13,w+10)', 'cp': 1, 'kod': 1, 'red': None, 'normp': 13, 'rootno': 1, 'ord_cond': 0, 'ord_disc': 0, 'ord_den_j': 0}], 'minD': '(1048576)', 'n_bad_primes': 2, 'ngens': 0, 'non_min_p': ['(13,w+10)'], 'nonmax_primes': [5], 'nonmax_rad': 5, 'normdisc': 25616515497082892641632256, 'number': 2, 'omega': {'__RealLiteral__': 0, 'data': '2.7668307867900422570474859927109899581', 'prec': 130}, 'potential_good_reduction': False, 'q_curve': True, 'rank': 0, 'rank_bounds': [0, 0], 'reducible_primes': [5], 'reg': 1, 'root_analytic_conductor': 4.026118678121637, 'semistable': True, 'sha': 1, 'short_class_label': '4.2-c', 'short_label': '4.2-c2', 'signature': [0, 1], 'tamagawa_product': 40, 'torsion_gens': [], 'torsion_order': 1, 'torsion_primes': [], 'torsion_structure': [], 'trace_hash': 880826155935606373}
34. label: 2.0.1015.1-4.2-d1
    {'Lvalue': {'__RealLiteral__': 0, 'data': '3.4738380648576464794824323444685607372', 'prec': 130}, 'abs_disc': 1015, 'ainvs': '1,0;0,-1;0,0;-10212,219;397578,-9547', 'analytic_rank': 0, 'bad_primes': ['(2,w)', '(2,w+1)'], 'base_change': [], 'class_deg': 5, 'class_label': '2.0.1015.1-4.2-d', 'class_size': 2, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(2)', 'conductor_label': '4.2', 'conductor_norm': 4, 'conductor_norm_factors': [2], 'degree': 2, 'disc': '(108587320192*a-1153775461712)', 'equation': '{y}^2+{x}{y}={x}^3-a{x}^2+\\left(219a-10212\\right){x}-9547a+397578', 'field_label': '2.0.1015.1', 'galois_images': ['5B'], 'gens': [], 'heights': [], 'iso_label': 'd', 'iso_nlabel': 3, 'isodeg': [1, 5], 'isogeny_matrix': [[1, 5], [5, 1]], 'jinv': '-1030301/16,0', 'label': '2.0.1015.1-4.2-d1', 'local_data': [{'p': '(2,w)', 'cp': 4, 'kod': 8, 'red': 1, 'normp': 2, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 4, 'ord_den_j': 4}, {'p': '(2,w+1)', 'cp': 2, 'kod': 8, 'red': -1, 'normp': 2, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 4, 'ord_den_j': 4}, {'p': '(71,w+65)', 'cp': 1, 'kod': 1, 'red': None, 'normp': 71, 'rootno': 1, 'ord_cond': 0, 'ord_disc': 0, 'ord_den_j': 0}], 'minD': '(16)', 'n_bad_primes': 2, 'ngens': 0, 'non_min_p': ['(71,w+65)'], 'nonmax_primes': [5], 'nonmax_rad': 5, 'normdisc': 4200878781604047650365696, 'number': 1, 'omega': {'__RealLiteral__': 0, 'data': '13.834153933950211285237429963554949791', 'prec': 130}, 'potential_good_reduction': False, 'q_curve': True, 'rank': 0, 'rank_bounds': [0, 0], 'reducible_primes': [5], 'reg': 1, 'root_analytic_conductor': 4.026118678121637, 'semistable': True, 'sha': 1, 'short_class_label': '4.2-d', 'short_label': '4.2-d1', 'signature': [0, 1], 'tamagawa_product': 8, 'torsion_gens': [], 'torsion_order': 1, 'torsion_primes': [], 'torsion_structure': [], 'trace_hash': 1735457863908804030}
35. label: 2.0.1015.1-4.2-d2
    {'Lvalue': {'__RealLiteral__': 0, 'data': '3.4738380648576464794824323444685607372', 'prec': 130}, 'abs_disc': 1015, 'ainvs': '1,0;0,-1;0,0;61983,-1341;-14765037,476483', 'analytic_rank': 0, 'bad_primes': ['(2,w)', '(2,w+1)'], 'base_change': [], 'class_deg': 5, 'class_label': '2.0.1015.1-4.2-d', 'class_size': 2, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(2)', 'conductor_label': '4.2', 'conductor_norm': 4, 'conductor_norm_factors': [2], 'degree': 2, 'disc': '(7116378616102912*a-75613828658757632)', 'equation': '{y}^2+{x}{y}={x}^3-a{x}^2+\\left(-1341a+61983\\right){x}+476483a-14765037', 'field_label': '2.0.1015.1', 'galois_images': ['5B'], 'gens': [], 'heights': [], 'iso_label': 'd', 'iso_nlabel': 3, 'isodeg': [1, 5], 'isogeny_matrix': [[1, 5], [5, 1]], 'jinv': '237176659/1048576,0', 'label': '2.0.1015.1-4.2-d2', 'local_data': [{'p': '(2,w)', 'cp': 20, 'kod': 24, 'red': 1, 'normp': 2, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 20, 'ord_den_j': 20}, {'p': '(2,w+1)', 'cp': 2, 'kod': 24, 'red': -1, 'normp': 2, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 20, 'ord_den_j': 20}, {'p': '(71,w+65)', 'cp': 1, 'kod': 1, 'red': None, 'normp': 71, 'rootno': 1, 'ord_cond': 0, 'ord_disc': 0, 'ord_den_j': 0}], 'minD': '(1048576)', 'n_bad_primes': 2, 'ngens': 0, 'non_min_p': ['(71,w+65)'], 'nonmax_primes': [5], 'nonmax_rad': 5, 'normdisc': 18042636981449711079546306760278016, 'number': 2, 'omega': {'__RealLiteral__': 0, 'data': '2.7668307867900422570474859927109899581', 'prec': 130}, 'potential_good_reduction': False, 'q_curve': True, 'rank': 0, 'rank_bounds': [0, 0], 'reducible_primes': [5], 'reg': 1, 'root_analytic_conductor': 4.026118678121637, 'semistable': True, 'sha': 1, 'short_class_label': '4.2-d', 'short_label': '4.2-d2', 'signature': [0, 1], 'tamagawa_product': 40, 'torsion_gens': [], 'torsion_order': 1, 'torsion_primes': [], 'torsion_structure': [], 'trace_hash': 1735457863908804030}
36. label: 2.0.1016.1-9.2-a1
    {'Lvalue': {'__RealLiteral__': 0, 'data': '0.61047640697337821974296845594846323762', 'prec': 133}, 'abs_disc': 1016, 'ainvs': '0,1;-1,1;1,1;732,315;77356,1690', 'analytic_rank': 0, 'bad_primes': ['(3,w+1)', '(3,w+2)'], 'base_change': [], 'class_deg': 10, 'class_label': '2.0.1016.1-9.2-a', 'class_size': 4, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(3)', 'conductor_label': '9.2', 'conductor_norm': 9, 'conductor_norm_factors': [3], 'degree': 2, 'disc': '(-83564845722*a+507715407045)', 'equation': '{y}^2+a{x}{y}+\\left(a+1\\right){y}={x}^3+\\left(a-1\\right){x}^2+\\left(315a+732\\right){x}+1690a+77356', 'field_label': '2.0.1016.1', 'galois_images': ['2B', '5B'], 'gens': [], 'heights': [], 'iso_label': 'a', 'iso_nlabel': 0, 'isodeg': [1, 2, 5, 10], 'isogeny_matrix': [[1, 5, 10, 2], [5, 1, 2, 10], [10, 2, 1, 5], [2, 10, 5, 1]], 'jinv': '-873722816/59049,0', 'label': '2.0.1016.1-9.2-a1', 'local_data': [{'p': '(3,w+1)', 'cp': 2, 'kod': 14, 'red': -1, 'normp': 3, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 10, 'ord_den_j': 10}, {'p': '(3,w+2)', 'cp': 10, 'kod': 14, 'red': 1, 'normp': 3, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 10, 'ord_den_j': 10}, {'p': '(17,w+16)', 'cp': 1, 'kod': 1, 'red': None, 'normp': 17, 'rootno': 1, 'ord_cond': 0, 'ord_disc': 0, 'ord_den_j': 0}], 'minD': '(59049)', 'n_bad_primes': 2, 'ngens': 0, 'non_min_p': ['(17,w+16)'], 'nonmax_primes': [2, 5], 'nonmax_rad': 10, 'normdisc': 2031478128448452107758161, 'number': 1, 'omega': {'__RealLiteral__': 0, 'data': '3.8917571690261648331064945733785512764', 'prec': 130}, 'potential_good_reduction': False, 'q_curve': True, 'rank': 0, 'rank_bounds': [0, 0], 'reducible_primes': [2, 5], 'reg': 1, 'root_analytic_conductor': 4.93339665302581, 'semistable': True, 'sha': 1, 'short_class_label': '9.2-a', 'short_label': '9.2-a1', 'signature': [0, 1], 'tamagawa_product': 20, 'torsion_gens': ['[[175/2,-4],[-1017/2,-177/4],[1,0]]'], 'torsion_order': 2, 'torsion_primes': [2], 'torsion_structure': [2], 'trace_hash': 432720371329761717}
37. label: 2.0.1016.1-9.2-a2
    {'Lvalue': {'__RealLiteral__': 0, 'data': '0.61047640697337821974296845594846323762', 'prec': 133}, 'abs_disc': 1016, 'ainvs': '0,1;-1,1;1,1;1432,-45;-8392,449', 'analytic_rank': 0, 'bad_primes': ['(3,w+1)', '(3,w+2)'], 'base_change': [], 'class_deg': 10, 'class_label': '2.0.1016.1-9.2-a', 'class_size': 4, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(3)', 'conductor_label': '9.2', 'conductor_norm': 9, 'conductor_norm_factors': [3], 'degree': 2, 'disc': '(-12736602*a+77383845)', 'equation': '{y}^2+a{x}{y}+\\left(a+1\\right){y}={x}^3+\\left(a-1\\right){x}^2+\\left(-45a+1432\\right){x}+449a-8392', 'field_label': '2.0.1016.1', 'galois_images': ['2B', '5B'], 'gens': [], 'heights': [], 'iso_label': 'a', 'iso_nlabel': 0, 'isodeg': [1, 2, 5, 10], 'isogeny_matrix': [[1, 5, 10, 2], [5, 1, 2, 10], [10, 2, 1, 5], [2, 10, 5, 1]], 'jinv': '64/9,0', 'label': '2.0.1016.1-9.2-a2', 'local_data': [{'p': '(3,w+1)', 'cp': 2, 'kod': 6, 'red': -1, 'normp': 3, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 2, 'ord_den_j': 2}, {'p': '(3,w+2)', 'cp': 2, 'kod': 6, 'red': 1, 'normp': 3, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 2, 'ord_den_j': 2}, {'p': '(17,w+16)', 'cp': 1, 'kod': 1, 'red': None, 'normp': 17, 'rootno': 1, 'ord_cond': 0, 'ord_disc': 0, 'ord_den_j': 0}], 'minD': '(9)', 'n_bad_primes': 2, 'ngens': 0, 'non_min_p': ['(17,w+16)'], 'nonmax_primes': [2, 5], 'nonmax_rad': 10, 'normdisc': 47192401215610641, 'number': 2, 'omega': {'__RealLiteral__': 0, 'data': '19.458785845130824165532472866892756382', 'prec': 130}, 'potential_good_reduction': False, 'q_curve': True, 'rank': 0, 'rank_bounds': [0, 0], 'reducible_primes': [2, 5], 'reg': 1, 'root_analytic_conductor': 4.93339665302581, 'semistable': True, 'sha': 1, 'short_class_label': '9.2-a', 'short_label': '9.2-a2', 'signature': [0, 1], 'tamagawa_product': 4, 'torsion_gens': ['[[31/2,0],[-1/2,-33/4],[1,0]]'], 'torsion_order': 2, 'torsion_primes': [2], 'torsion_structure': [2], 'trace_hash': 432720371329761717}
38. label: 2.0.1016.1-9.2-a3
    {'Lvalue': {'__RealLiteral__': 0, 'data': '0.61047640697337821974296845594846323762', 'prec': 133}, 'abs_disc': 1016, 'ainvs': '0,1;-1,1;1,0;1270,-60;-6944,880', 'analytic_rank': 0, 'bad_primes': ['(3,w+1)', '(3,w+2)'], 'base_change': [], 'class_deg': 10, 'class_label': '2.0.1016.1-9.2-a', 'class_size': 4, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(3)', 'conductor_label': '9.2', 'conductor_norm': 9, 'conductor_norm_factors': [3], 'degree': 2, 'disc': '(-4245534*a-25794615)', 'equation': '{y}^2+a{x}{y}+{y}={x}^3+\\left(a-1\\right){x}^2+\\left(-60a+1270\\right){x}+880a-6944', 'field_label': '2.0.1016.1', 'galois_images': ['2B', '5B'], 'gens': [], 'heights': [], 'iso_label': 'a', 'iso_nlabel': 0, 'isodeg': [1, 2, 5, 10], 'isogeny_matrix': [[1, 5, 10, 2], [5, 1, 2, 10], [10, 2, 1, 5], [2, 10, 5, 1]], 'jinv': '85184/3,0', 'label': '2.0.1016.1-9.2-a3', 'local_data': [{'p': '(3,w+1)', 'cp': 1, 'kod': 5, 'red': -1, 'normp': 3, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 1, 'ord_den_j': 1}, {'p': '(3,w+2)', 'cp': 1, 'kod': 5, 'red': 1, 'normp': 3, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 1, 'ord_den_j': 1}, {'p': '(17,w+1)', 'cp': 1, 'kod': 1, 'red': None, 'normp': 17, 'rootno': 1, 'ord_cond': 0, 'ord_disc': 0, 'ord_den_j': 0}], 'minD': '(3)', 'n_bad_primes': 2, 'ngens': 0, 'non_min_p': ['(17,w+1)'], 'nonmax_primes': [2, 5], 'nonmax_rad': 10, 'normdisc': 5243600135067849, 'number': 3, 'omega': {'__RealLiteral__': 0, 'data': '19.458785845130824165532472866892756382', 'prec': 130}, 'potential_good_reduction': False, 'q_curve': True, 'rank': 0, 'rank_bounds': [0, 0], 'reducible_primes': [2, 5], 'reg': 1, 'root_analytic_conductor': 4.93339665302581, 'semistable': True, 'sha': 4, 'short_class_label': '9.2-a', 'short_label': '9.2-a3', 'signature': [0, 1], 'tamagawa_product': 1, 'torsion_gens': ['[[55/2,0],[-1/2,-55/4],[1,0]]'], 'torsion_order': 2, 'torsion_primes': [2], 'torsion_structure': [2], 'trace_hash': 432720371329761717}
39. label: 2.0.1016.1-9.2-a4
    {'Lvalue': {'__RealLiteral__': 0, 'data': '0.61047640697337821974296845594846323762', 'prec': 133}, 'abs_disc': 1016, 'ainvs': '0,1;-1,1;1,0;-1530,-1500;957006,-40295', 'analytic_rank': 0, 'bad_primes': ['(3,w+1)', '(3,w+2)'], 'base_change': [], 'class_deg': 10, 'class_label': '2.0.1016.1-9.2-a', 'class_size': 4, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(3)', 'conductor_label': '9.2', 'conductor_norm': 9, 'conductor_norm_factors': [3], 'degree': 2, 'disc': '(-343888254*a-2089363815)', 'equation': '{y}^2+a{x}{y}+{y}={x}^3+\\left(a-1\\right){x}^2+\\left(-1500a-1530\\right){x}-40295a+957006', 'field_label': '2.0.1016.1', 'galois_images': ['2B', '5B'], 'gens': [], 'heights': [], 'iso_label': 'a', 'iso_nlabel': 0, 'isodeg': [1, 2, 5, 10], 'isogeny_matrix': [[1, 5, 10, 2], [5, 1, 2, 10], [10, 2, 1, 5], [2, 10, 5, 1]], 'jinv': '58591911104/243,0', 'label': '2.0.1016.1-9.2-a4', 'local_data': [{'p': '(3,w+1)', 'cp': 1, 'kod': 9, 'red': -1, 'normp': 3, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 5, 'ord_den_j': 5}, {'p': '(3,w+2)', 'cp': 5, 'kod': 9, 'red': 1, 'normp': 3, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 5, 'ord_den_j': 5}, {'p': '(17,w+1)', 'cp': 1, 'kod': 1, 'red': None, 'normp': 17, 'rootno': 1, 'ord_cond': 0, 'ord_disc': 0, 'ord_den_j': 0}], 'minD': '(243)', 'n_bad_primes': 2, 'ngens': 0, 'non_min_p': ['(17,w+1)'], 'nonmax_primes': [2, 5], 'nonmax_rad': 10, 'normdisc': 34403260486180157289, 'number': 4, 'omega': {'__RealLiteral__': 0, 'data': '3.8917571690261648331064945733785512764', 'prec': 130}, 'potential_good_reduction': False, 'q_curve': True, 'rank': 0, 'rank_bounds': [0, 0], 'reducible_primes': [2, 5], 'reg': 1, 'root_analytic_conductor': 4.93339665302581, 'semistable': True, 'sha': 4, 'short_class_label': '9.2-a', 'short_label': '9.2-a4', 'signature': [0, 1], 'tamagawa_product': 5, 'torsion_gens': ['[[-89/2,-4],[-1017/2,89/4],[1,0]]'], 'torsion_order': 2, 'torsion_primes': [2], 'torsion_structure': [2], 'trace_hash': 432720371329761717}
40. label: 2.0.1016.1-9.2-b1
    {'Lvalue': {'__RealLiteral__': 0, 'data': '0.61047640697337821974296845594846323762', 'prec': 133}, 'abs_disc': 1016, 'ainvs': '0,1;-1,-1;1,1;732,-316;77356,-1691', 'analytic_rank': 0, 'bad_primes': ['(3,w+1)', '(3,w+2)'], 'base_change': [], 'class_deg': 10, 'class_label': '2.0.1016.1-9.2-b', 'class_size': 4, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(3)', 'conductor_label': '9.2', 'conductor_norm': 9, 'conductor_norm_factors': [3], 'degree': 2, 'disc': '(83564845722*a+507715407045)', 'equation': '{y}^2+a{x}{y}+\\left(a+1\\right){y}={x}^3+\\left(-a-1\\right){x}^2+\\left(-316a+732\\right){x}-1691a+77356', 'field_label': '2.0.1016.1', 'galois_images': ['2B', '5B'], 'gens': [], 'heights': [], 'iso_label': 'b', 'iso_nlabel': 1, 'isodeg': [1, 2, 5, 10], 'isogeny_matrix': [[1, 5, 10, 2], [5, 1, 2, 10], [10, 2, 1, 5], [2, 10, 5, 1]], 'jinv': '-873722816/59049,0', 'label': '2.0.1016.1-9.2-b1', 'local_data': [{'p': '(3,w+1)', 'cp': 10, 'kod': 14, 'red': 1, 'normp': 3, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 10, 'ord_den_j': 10}, {'p': '(3,w+2)', 'cp': 2, 'kod': 14, 'red': -1, 'normp': 3, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 10, 'ord_den_j': 10}, {'p': '(17,w+1)', 'cp': 1, 'kod': 1, 'red': None, 'normp': 17, 'rootno': 1, 'ord_cond': 0, 'ord_disc': 0, 'ord_den_j': 0}], 'minD': '(59049)', 'n_bad_primes': 2, 'ngens': 0, 'non_min_p': ['(17,w+1)'], 'nonmax_primes': [2, 5], 'nonmax_rad': 10, 'normdisc': 2031478128448452107758161, 'number': 1, 'omega': {'__RealLiteral__': 0, 'data': '3.8917571690261648331064945733785512764', 'prec': 130}, 'potential_good_reduction': False, 'q_curve': True, 'rank': 0, 'rank_bounds': [0, 0], 'reducible_primes': [2, 5], 'reg': 1, 'root_analytic_conductor': 4.93339665302581, 'semistable': True, 'sha': 1, 'short_class_label': '9.2-b', 'short_label': '9.2-b1', 'signature': [0, 1], 'tamagawa_product': 20, 'torsion_gens': ['[[175/2,4],[1015/2,-177/4],[1,0]]'], 'torsion_order': 2, 'torsion_primes': [2], 'torsion_structure': [2], 'trace_hash': 432720371329761717}
41. label: 2.0.1016.1-9.2-b2
    {'Lvalue': {'__RealLiteral__': 0, 'data': '0.61047640697337821974296845594846323762', 'prec': 133}, 'abs_disc': 1016, 'ainvs': '0,1;-1,-1;1,1;1432,44;-8392,-450', 'analytic_rank': 0, 'bad_primes': ['(3,w+1)', '(3,w+2)'], 'base_change': [], 'class_deg': 10, 'class_label': '2.0.1016.1-9.2-b', 'class_size': 4, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(3)', 'conductor_label': '9.2', 'conductor_norm': 9, 'conductor_norm_factors': [3], 'degree': 2, 'disc': '(12736602*a+77383845)', 'equation': '{y}^2+a{x}{y}+\\left(a+1\\right){y}={x}^3+\\left(-a-1\\right){x}^2+\\left(44a+1432\\right){x}-450a-8392', 'field_label': '2.0.1016.1', 'galois_images': ['2B', '5B'], 'gens': [], 'heights': [], 'iso_label': 'b', 'iso_nlabel': 1, 'isodeg': [1, 2, 5, 10], 'isogeny_matrix': [[1, 5, 10, 2], [5, 1, 2, 10], [10, 2, 1, 5], [2, 10, 5, 1]], 'jinv': '64/9,0', 'label': '2.0.1016.1-9.2-b2', 'local_data': [{'p': '(3,w+1)', 'cp': 2, 'kod': 6, 'red': 1, 'normp': 3, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 2, 'ord_den_j': 2}, {'p': '(3,w+2)', 'cp': 2, 'kod': 6, 'red': -1, 'normp': 3, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 2, 'ord_den_j': 2}, {'p': '(17,w+1)', 'cp': 1, 'kod': 1, 'red': None, 'normp': 17, 'rootno': 1, 'ord_cond': 0, 'ord_disc': 0, 'ord_den_j': 0}], 'minD': '(9)', 'n_bad_primes': 2, 'ngens': 0, 'non_min_p': ['(17,w+1)'], 'nonmax_primes': [2, 5], 'nonmax_rad': 10, 'normdisc': 47192401215610641, 'number': 2, 'omega': {'__RealLiteral__': 0, 'data': '19.458785845130824165532472866892756382', 'prec': 130}, 'potential_good_reduction': False, 'q_curve': True, 'rank': 0, 'rank_bounds': [0, 0], 'reducible_primes': [2, 5], 'reg': 1, 'root_analytic_conductor': 4.93339665302581, 'semistable': True, 'sha': 1, 'short_class_label': '9.2-b', 'short_label': '9.2-b2', 'signature': [0, 1], 'tamagawa_product': 4, 'torsion_gens': ['[[31/2,0],[-1/2,-33/4],[1,0]]'], 'torsion_order': 2, 'torsion_primes': [2], 'torsion_structure': [2], 'trace_hash': 432720371329761717}
42. label: 2.0.1016.1-9.2-b3
    {'Lvalue': {'__RealLiteral__': 0, 'data': '0.61047640697337821974296845594846323762', 'prec': 133}, 'abs_disc': 1016, 'ainvs': '0,1;-1,-1;1,0;1270,59;-6944,-880', 'analytic_rank': 0, 'bad_primes': ['(3,w+1)', '(3,w+2)'], 'base_change': [], 'class_deg': 10, 'class_label': '2.0.1016.1-9.2-b', 'class_size': 4, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(3)', 'conductor_label': '9.2', 'conductor_norm': 9, 'conductor_norm_factors': [3], 'degree': 2, 'disc': '(4245534*a-25794615)', 'equation': '{y}^2+a{x}{y}+{y}={x}^3+\\left(-a-1\\right){x}^2+\\left(59a+1270\\right){x}-880a-6944', 'field_label': '2.0.1016.1', 'galois_images': ['2B', '5B'], 'gens': [], 'heights': [], 'iso_label': 'b', 'iso_nlabel': 1, 'isodeg': [1, 2, 5, 10], 'isogeny_matrix': [[1, 5, 10, 2], [5, 1, 2, 10], [10, 2, 1, 5], [2, 10, 5, 1]], 'jinv': '85184/3,0', 'label': '2.0.1016.1-9.2-b3', 'local_data': [{'p': '(3,w+1)', 'cp': 1, 'kod': 5, 'red': 1, 'normp': 3, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 1, 'ord_den_j': 1}, {'p': '(3,w+2)', 'cp': 1, 'kod': 5, 'red': -1, 'normp': 3, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 1, 'ord_den_j': 1}, {'p': '(17,w+16)', 'cp': 1, 'kod': 1, 'red': None, 'normp': 17, 'rootno': 1, 'ord_cond': 0, 'ord_disc': 0, 'ord_den_j': 0}], 'minD': '(3)', 'n_bad_primes': 2, 'ngens': 0, 'non_min_p': ['(17,w+16)'], 'nonmax_primes': [2, 5], 'nonmax_rad': 10, 'normdisc': 5243600135067849, 'number': 3, 'omega': {'__RealLiteral__': 0, 'data': '19.458785845130824165532472866892756382', 'prec': 130}, 'potential_good_reduction': False, 'q_curve': True, 'rank': 0, 'rank_bounds': [0, 0], 'reducible_primes': [2, 5], 'reg': 1, 'root_analytic_conductor': 4.93339665302581, 'semistable': True, 'sha': 4, 'short_class_label': '9.2-b', 'short_label': '9.2-b3', 'signature': [0, 1], 'tamagawa_product': 1, 'torsion_gens': ['[[55/2,0],[-1/2,-55/4],[1,0]]'], 'torsion_order': 2, 'torsion_primes': [2], 'torsion_structure': [2], 'trace_hash': 432720371329761717}
43. label: 2.0.1016.1-9.2-b4
    {'Lvalue': {'__RealLiteral__': 0, 'data': '0.61047640697337821974296845594846323762', 'prec': 133}, 'abs_disc': 1016, 'ainvs': '0,1;-1,-1;1,0;-1530,1499;957006,40295', 'analytic_rank': 0, 'bad_primes': ['(3,w+1)', '(3,w+2)'], 'base_change': [], 'class_deg': 10, 'class_label': '2.0.1016.1-9.2-b', 'class_size': 4, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(3)', 'conductor_label': '9.2', 'conductor_norm': 9, 'conductor_norm_factors': [3], 'degree': 2, 'disc': '(343888254*a-2089363815)', 'equation': '{y}^2+a{x}{y}+{y}={x}^3+\\left(-a-1\\right){x}^2+\\left(1499a-1530\\right){x}+40295a+957006', 'field_label': '2.0.1016.1', 'galois_images': ['2B', '5B'], 'gens': [], 'heights': [], 'iso_label': 'b', 'iso_nlabel': 1, 'isodeg': [1, 2, 5, 10], 'isogeny_matrix': [[1, 5, 10, 2], [5, 1, 2, 10], [10, 2, 1, 5], [2, 10, 5, 1]], 'jinv': '58591911104/243,0', 'label': '2.0.1016.1-9.2-b4', 'local_data': [{'p': '(3,w+1)', 'cp': 5, 'kod': 9, 'red': 1, 'normp': 3, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 5, 'ord_den_j': 5}, {'p': '(3,w+2)', 'cp': 1, 'kod': 9, 'red': -1, 'normp': 3, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 5, 'ord_den_j': 5}, {'p': '(17,w+16)', 'cp': 1, 'kod': 1, 'red': None, 'normp': 17, 'rootno': 1, 'ord_cond': 0, 'ord_disc': 0, 'ord_den_j': 0}], 'minD': '(243)', 'n_bad_primes': 2, 'ngens': 0, 'non_min_p': ['(17,w+16)'], 'nonmax_primes': [2, 5], 'nonmax_rad': 10, 'normdisc': 34403260486180157289, 'number': 4, 'omega': {'__RealLiteral__': 0, 'data': '3.8917571690261648331064945733785512764', 'prec': 130}, 'potential_good_reduction': False, 'q_curve': True, 'rank': 0, 'rank_bounds': [0, 0], 'reducible_primes': [2, 5], 'reg': 1, 'root_analytic_conductor': 4.93339665302581, 'semistable': True, 'sha': 4, 'short_class_label': '9.2-b', 'short_label': '9.2-b4', 'signature': [0, 1], 'tamagawa_product': 5, 'torsion_gens': ['[[-89/2,4],[1015/2,89/4],[1,0]]'], 'torsion_order': 2, 'torsion_primes': [2], 'torsion_structure': [2], 'trace_hash': 432720371329761717}
44. label: 2.0.1016.1-9.2-c1
    {'Lvalue': {'__RealLiteral__': 0, 'data': '1.1705903331584828044356790816423592378', 'prec': 130}, 'abs_disc': 1016, 'ainvs': '1,1;1,-1;0,1;2018,29;-29019,1906', 'analytic_rank': 0, 'bad_primes': ['(3,w+1)', '(3,w+2)'], 'base_change': [], 'class_deg': 1, 'class_label': '2.0.1016.1-9.2-c', 'class_size': 1, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(3)', 'conductor_label': '9.2', 'conductor_norm': 9, 'conductor_norm_factors': [3], 'degree': 2, 'disc': '(16160514480*a+593515872999)', 'equation': '{y}^2+\\left(a+1\\right){x}{y}+a{y}={x}^3+\\left(-a+1\\right){x}^2+\\left(29a+2018\\right){x}+1906a-29019', 'field_label': '2.0.1016.1', 'galois_images': [], 'gens': [], 'heights': [], 'iso_label': 'c', 'iso_nlabel': 2, 'isodeg': [1], 'isogeny_matrix': [[1]], 'jinv': '-2512937/59049,-40900/59049', 'label': '2.0.1016.1-9.2-c1', 'local_data': [{'p': '(3,w+1)', 'cp': 2, 'kod': 14, 'red': -1, 'normp': 3, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 10, 'ord_den_j': 10}, {'p': '(3,w+2)', 'cp': 2, 'kod': 6, 'red': 1, 'normp': 3, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 2, 'ord_den_j': 2}, {'p': '(31,w+5)', 'cp': 1, 'kod': 1, 'red': None, 'normp': 31, 'rootno': 1, 'ord_cond': 0, 'ord_disc': 0, 'ord_den_j': 0}], 'minD': '(59049,9*w+50580)', 'n_bad_primes': 2, 'ngens': 0, 'non_min_p': ['(31,w+5)'], 'nonmax_primes': [], 'nonmax_rad': 1, 'normdisc': 418596297479370673535601, 'number': 1, 'omega': {'__RealLiteral__': 0, 'data': '9.3280699897320438781920695492433515941', 'prec': 130}, 'potential_good_reduction': False, 'q_curve': False, 'rank': 0, 'rank_bounds': [0, 0], 'reducible_primes': [], 'reg': 1, 'root_analytic_conductor': 4.93339665302581, 'semistable': True, 'sha': 1, 'short_class_label': '9.2-c', 'short_label': '9.2-c1', 'signature': [0, 1], 'tamagawa_product': 4, 'torsion_gens': [], 'torsion_order': 1, 'torsion_primes': [], 'torsion_structure': [], 'trace_hash': 77054135769065663}
45. label: 2.0.1016.1-9.2-d1
    {'Lvalue': {'__RealLiteral__': 0, 'data': '5.8529516657924140221783954082117961890', 'prec': 130}, 'abs_disc': 1016, 'ainvs': '1,1;1,-1;0,0;1804,82;-106457,-2474', 'analytic_rank': 0, 'bad_primes': ['(3,w+1)', '(3,w+2)'], 'base_change': [], 'class_deg': 1, 'class_label': '2.0.1016.1-9.2-d', 'class_size': 1, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(3)', 'conductor_label': '9.2', 'conductor_norm': 9, 'conductor_norm_factors': [3], 'degree': 2, 'disc': '(-69198679440*a-3282513626889)', 'equation': '{y}^2+\\left(a+1\\right){x}{y}={x}^3+\\left(-a+1\\right){x}^2+\\left(82a+1804\\right){x}-2474a-106457', 'field_label': '2.0.1016.1', 'galois_images': [], 'gens': [], 'heights': [], 'iso_label': 'd', 'iso_nlabel': 3, 'isodeg': [1], 'isogeny_matrix': [[1]], 'jinv': '-2512937/59049,40900/59049', 'label': '2.0.1016.1-9.2-d1', 'local_data': [{'p': '(3,w+1)', 'cp': 2, 'kod': 6, 'red': -1, 'normp': 3, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 2, 'ord_den_j': 2}, {'p': '(3,w+2)', 'cp': 10, 'kod': 14, 'red': 1, 'normp': 3, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 10, 'ord_den_j': 10}, {'p': '(41,w+22)', 'cp': 1, 'kod': 1, 'red': None, 'normp': 41, 'rootno': 1, 'ord_cond': 0, 'ord_disc': 0, 'ord_den_j': 0}], 'minD': '(59049,9*w+8469)', 'n_bad_primes': 2, 'ngens': 0, 'non_min_p': ['(41,w+22)'], 'nonmax_primes': [], 'nonmax_rad': 1, 'normdisc': 11991163848716906297072721, 'number': 1, 'omega': {'__RealLiteral__': 0, 'data': '9.3280699897320438781920695492433515941', 'prec': 130}, 'potential_good_reduction': False, 'q_curve': False, 'rank': 0, 'rank_bounds': [0, 0], 'reducible_primes': [], 'reg': 1, 'root_analytic_conductor': 4.93339665302581, 'semistable': True, 'sha': 1, 'short_class_label': '9.2-d', 'short_label': '9.2-d1', 'signature': [0, 1], 'tamagawa_product': 20, 'torsion_gens': [], 'torsion_order': 1, 'torsion_primes': [], 'torsion_structure': [], 'trace_hash': 1576774431564456171}
46. label: 2.0.1016.1-9.2-e1
    {'Lvalue': {'__RealLiteral__': 0, 'data': '1.1705903331584828044356790816423592378', 'prec': 130}, 'abs_disc': 1016, 'ainvs': '1,1;1,0;0,1;2018,-30;-29019,-1906', 'analytic_rank': 0, 'bad_primes': ['(3,w+1)', '(3,w+2)'], 'base_change': [], 'class_deg': 1, 'class_label': '2.0.1016.1-9.2-e', 'class_size': 1, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(3)', 'conductor_label': '9.2', 'conductor_norm': 9, 'conductor_norm_factors': [3], 'degree': 2, 'disc': '(-16160514480*a+593515872999)', 'equation': '{y}^2+\\left(a+1\\right){x}{y}+a{y}={x}^3+{x}^2+\\left(-30a+2018\\right){x}-1906a-29019', 'field_label': '2.0.1016.1', 'galois_images': [], 'gens': [], 'heights': [], 'iso_label': 'e', 'iso_nlabel': 4, 'isodeg': [1], 'isogeny_matrix': [[1]], 'jinv': '-2512937/59049,40900/59049', 'label': '2.0.1016.1-9.2-e1', 'local_data': [{'p': '(3,w+1)', 'cp': 2, 'kod': 6, 'red': 1, 'normp': 3, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 2, 'ord_den_j': 2}, {'p': '(3,w+2)', 'cp': 2, 'kod': 14, 'red': -1, 'normp': 3, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 10, 'ord_den_j': 10}, {'p': '(31,w+26)', 'cp': 1, 'kod': 1, 'red': None, 'normp': 31, 'rootno': 1, 'ord_cond': 0, 'ord_disc': 0, 'ord_den_j': 0}], 'minD': '(59049,9*w+8469)', 'n_bad_primes': 2, 'ngens': 0, 'non_min_p': ['(31,w+26)'], 'nonmax_primes': [], 'nonmax_rad': 1, 'normdisc': 418596297479370673535601, 'number': 1, 'omega': {'__RealLiteral__': 0, 'data': '9.3280699897320438781920695492433515941', 'prec': 130}, 'potential_good_reduction': False, 'q_curve': False, 'rank': 0, 'rank_bounds': [0, 0], 'reducible_primes': [], 'reg': 1, 'root_analytic_conductor': 4.93339665302581, 'semistable': True, 'sha': 1, 'short_class_label': '9.2-e', 'short_label': '9.2-e1', 'signature': [0, 1], 'tamagawa_product': 4, 'torsion_gens': [], 'torsion_order': 1, 'torsion_primes': [], 'torsion_structure': [], 'trace_hash': 77054135769065663}
47. label: 2.0.1016.1-9.2-f1
    {'Lvalue': {'__RealLiteral__': 0, 'data': '5.8529516657924140221783954082117961890', 'prec': 130}, 'abs_disc': 1016, 'ainvs': '1,1;1,0;0,0;1804,-82;-106457,2474', 'analytic_rank': 0, 'bad_primes': ['(3,w+1)', '(3,w+2)'], 'base_change': [], 'class_deg': 1, 'class_label': '2.0.1016.1-9.2-f', 'class_size': 1, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(3)', 'conductor_label': '9.2', 'conductor_norm': 9, 'conductor_norm_factors': [3], 'degree': 2, 'disc': '(69198679440*a-3282513626889)', 'equation': '{y}^2+\\left(a+1\\right){x}{y}={x}^3+{x}^2+\\left(-82a+1804\\right){x}+2474a-106457', 'field_label': '2.0.1016.1', 'galois_images': [], 'gens': [], 'heights': [], 'iso_label': 'f', 'iso_nlabel': 5, 'isodeg': [1], 'isogeny_matrix': [[1]], 'jinv': '-2512937/59049,-40900/59049', 'label': '2.0.1016.1-9.2-f1', 'local_data': [{'p': '(3,w+1)', 'cp': 10, 'kod': 14, 'red': 1, 'normp': 3, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 10, 'ord_den_j': 10}, {'p': '(3,w+2)', 'cp': 2, 'kod': 6, 'red': -1, 'normp': 3, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 2, 'ord_den_j': 2}, {'p': '(41,w+19)', 'cp': 1, 'kod': 1, 'red': None, 'normp': 41, 'rootno': 1, 'ord_cond': 0, 'ord_disc': 0, 'ord_den_j': 0}], 'minD': '(59049,9*w+50580)', 'n_bad_primes': 2, 'ngens': 0, 'non_min_p': ['(41,w+19)'], 'nonmax_primes': [], 'nonmax_rad': 1, 'normdisc': 11991163848716906297072721, 'number': 1, 'omega': {'__RealLiteral__': 0, 'data': '9.3280699897320438781920695492433515941', 'prec': 130}, 'potential_good_reduction': False, 'q_curve': False, 'rank': 0, 'rank_bounds': [0, 0], 'reducible_primes': [], 'reg': 1, 'root_analytic_conductor': 4.93339665302581, 'semistable': True, 'sha': 1, 'short_class_label': '9.2-f', 'short_label': '9.2-f1', 'signature': [0, 1], 'tamagawa_product': 20, 'torsion_gens': [], 'torsion_order': 1, 'torsion_primes': [], 'torsion_structure': [], 'trace_hash': 1576774431564456171}
48. label: 2.0.1019.1-12.1-a1
    {'Lvalue': {'__RealLiteral__': 0, 'data': '2.2158226752741349835206435094357142684', 'prec': 130}, 'abs_disc': 1019, 'ainvs': '1,0;1,1;0,0;-201,-29;5694,-365', 'analytic_rank': 1, 'bad_primes': ['(3,w)', '(2)'], 'base_change': [], 'class_deg': 1, 'class_label': '2.0.1019.1-12.1-a', 'class_size': 1, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(6,2*w)', 'conductor_label': '12.1', 'conductor_norm': 12, 'conductor_norm_factors': [2, 3], 'degree': 2, 'disc': '(435239840*a-476036448)', 'equation': '{y}^2+{x}{y}={x}^3+\\left(a+1\\right){x}^2+\\left(-29a-201\\right){x}-365a+5694', 'field_label': '2.0.1019.1', 'galois_images': [], 'gens': ['[[1,-1],[-26,4],[1,0]]'], 'heights': [{'__RealLiteral__': 0, 'data': '0.42522935035525984273949366418132542600', 'prec': 133}], 'iso_label': 'a', 'iso_nlabel': 0, 'isodeg': [1], 'isogeny_matrix': [[1]], 'jinv': '-1775659/1296,238739/2592', 'label': '2.0.1019.1-12.1-a1', 'local_data': [{'p': '(3,w)', 'cp': 2, 'kod': 8, 'red': -1, 'normp': 3, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 4, 'ord_den_j': 4}, {'p': '(17,w)', 'cp': 1, 'kod': 1, 'red': None, 'normp': 17, 'rootno': 1, 'ord_cond': 0, 'ord_disc': 0, 'ord_den_j': 0}, {'p': '(2)', 'cp': 1, 'kod': 9, 'red': -1, 'normp': 4, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 5, 'ord_den_j': 5}], 'minD': '(2592,32*w+1056)', 'n_bad_primes': 2, 'ngens': 1, 'non_min_p': ['(17,w)'], 'nonmax_primes': [], 'nonmax_rad': 1, 'normdisc': 48325018844785296384, 'number': 1, 'omega': {'__RealLiteral__': 0, 'data': '10.396301808712689608400663301905713710', 'prec': 130}, 'potential_good_reduction': False, 'q_curve': False, 'rank': 1, 'rank_bounds': [1, 1], 'reducible_primes': [], 'reg': {'__RealLiteral__': 0, 'data': '0.42522935035525984273949366418132542600', 'prec': 133}, 'root_analytic_conductor': 5.309100628514508, 'semistable': True, 'sha': 4, 'short_class_label': '12.1-a', 'short_label': '12.1-a1', 'signature': [0, 1], 'tamagawa_product': 2, 'torsion_gens': [], 'torsion_order': 1, 'torsion_primes': [], 'torsion_structure': [], 'trace_hash': 1396597546258225361}
49. label: 2.0.1019.1-12.2-a1
    {'Lvalue': {'__RealLiteral__': 0, 'data': '2.2158226752741349835206435094357142684', 'prec': 130}, 'abs_disc': 1019, 'ainvs': '1,0;-1,-1;1,0;-232,31;5560,335', 'analytic_rank': 1, 'bad_primes': ['(3,w+2)', '(2)'], 'base_change': [], 'class_deg': 1, 'class_label': '2.0.1019.1-12.2-a', 'class_size': 1, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(6,2*w+4)', 'conductor_label': '12.2', 'conductor_norm': 12, 'conductor_norm_factors': [2, 3], 'degree': 2, 'disc': '(-435239840*a-40796608)', 'equation': '{y}^2+{x}{y}+{y}={x}^3+\\left(-a-1\\right){x}^2+\\left(31a-232\\right){x}+335a+5560', 'field_label': '2.0.1019.1', 'galois_images': [], 'gens': ['[[1,1],[21,3],[1,0]]'], 'heights': [{'__RealLiteral__': 0, 'data': '0.42522935035525984273949366418132542600', 'prec': 133}], 'iso_label': 'a', 'iso_nlabel': 0, 'isodeg': [1], 'isogeny_matrix': [[1]], 'jinv': '-1104193/864,-238739/2592', 'label': '2.0.1019.1-12.2-a1', 'local_data': [{'p': '(3,w+2)', 'cp': 2, 'kod': 8, 'red': -1, 'normp': 3, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 4, 'ord_den_j': 4}, {'p': '(17,w+16)', 'cp': 1, 'kod': 1, 'red': None, 'normp': 17, 'rootno': 1, 'ord_cond': 0, 'ord_disc': 0, 'ord_den_j': 0}, {'p': '(2)', 'cp': 1, 'kod': 9, 'red': -1, 'normp': 4, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 5, 'ord_den_j': 5}], 'minD': '(2592,32*w+1504)', 'n_bad_primes': 2, 'ngens': 1, 'non_min_p': ['(17,w+16)'], 'nonmax_primes': [], 'nonmax_rad': 1, 'normdisc': 48325018844785296384, 'number': 1, 'omega': {'__RealLiteral__': 0, 'data': '10.396301808712689608400663301905713710', 'prec': 130}, 'potential_good_reduction': False, 'q_curve': False, 'rank': 1, 'rank_bounds': [1, 1], 'reducible_primes': [], 'reg': {'__RealLiteral__': 0, 'data': '0.42522935035525984273949366418132542600', 'prec': 133}, 'root_analytic_conductor': 5.309100628514508, 'semistable': True, 'sha': 4, 'short_class_label': '12.2-a', 'short_label': '12.2-a1', 'signature': [0, 1], 'tamagawa_product': 2, 'torsion_gens': [], 'torsion_order': 1, 'torsion_primes': [], 'torsion_structure': [], 'trace_hash': 1396597546258225361}
50. label: 2.0.1023.1-9.1-a1
    {'Lvalue': {'__RealLiteral__': 0, 'data': '0.41631501333483699304480168899475444322', 'prec': 133}, 'abs_disc': 1023, 'ainvs': '0,0;-1,-1;1,0;825,33;12110,-933', 'analytic_rank': 0, 'bad_primes': ['(3,w+1)'], 'base_change': [], 'class_deg': 11, 'class_label': '2.0.1023.1-9.1-a', 'class_size': 2, 'cm': -11, 'cm_type': -1, 'conductor_ideal': '(3)', 'conductor_label': '9.1', 'conductor_norm': 9, 'conductor_norm_factors': [3], 'degree': 2, 'disc': '(249538320*a+99661293)', 'equation': '{y}^2+{y}={x}^3+\\left(-a-1\\right){x}^2+\\left(33a+825\\right){x}-933a+12110', 'field_label': '2.0.1023.1', 'galois_images': ['11B.10.3'], 'gens': [], 'heights': [], 'iso_label': 'a', 'iso_nlabel': 0, 'isodeg': [1, 11], 'isogeny_matrix': [[1, 11], [11, 1]], 'jinv': '-32768,0', 'label': '2.0.1023.1-9.1-a1', 'local_data': [{'p': '(3,w+1)', 'cp': 1, 'kod': -1, 'red': 0, 'normp': 3, 'rootno': -1, 'ord_cond': 2, 'ord_disc': 6, 'ord_den_j': 0}, {'p': '(23,w+4)', 'cp': 1, 'kod': 1, 'red': None, 'normp': 23, 'rootno': 1, 'ord_cond': 0, 'ord_disc': 0, 'ord_den_j': 0}], 'minD': '(27)', 'n_bad_primes': 1, 'ngens': 0, 'non_min_p': ['(23,w+4)'], 'nonmax_primes': [11], 'nonmax_rad': 11, 'normdisc': 15975761210942814009, 'number': 1, 'omega': {'__RealLiteral__': 0, 'data': '13.315573915739763183086552737167868528', 'prec': 130}, 'potential_good_reduction': True, 'q_curve': True, 'rank': 0, 'rank_bounds': [0, 0], 'reducible_primes': [11], 'reg': 1, 'root_analytic_conductor': 4.95036244939004, 'semistable': False, 'sha': 1, 'short_class_label': '9.1-a', 'short_label': '9.1-a1', 'signature': [0, 1], 'tamagawa_product': 1, 'torsion_gens': [], 'torsion_order': 1, 'torsion_primes': [], 'torsion_structure': [], 'trace_hash': 1207579577124872929}
51. label: 2.0.1023.1-9.1-a2
    {'Lvalue': {'__RealLiteral__': 0, 'data': '0.41631501333483699304480168899475444322', 'prec': 133}, 'abs_disc': 1023, 'ainvs': '0,0;-1,-1;1,0;-6903,-351;140153,20379', 'analytic_rank': 0, 'bad_primes': ['(3,w+1)'], 'base_change': [], 'class_deg': 11, 'class_label': '2.0.1023.1-9.1-a', 'class_size': 2, 'cm': -11, 'cm_type': -1, 'conductor_ideal': '(3)', 'conductor_label': '9.1', 'conductor_norm': 9, 'conductor_norm_factors': [3], 'degree': 2, 'disc': '(-136690876080*a+1157688316053)', 'equation': '{y}^2+{y}={x}^3+\\left(-a-1\\right){x}^2+\\left(-351a-6903\\right){x}+20379a+140153', 'field_label': '2.0.1023.1', 'galois_images': ['11B.10.3'], 'gens': [], 'heights': [], 'iso_label': 'a', 'iso_nlabel': 0, 'isodeg': [1, 11], 'isogeny_matrix': [[1, 11], [11, 1]], 'jinv': '-32768,0', 'label': '2.0.1023.1-9.1-a2', 'local_data': [{'p': '(3,w+1)', 'cp': 1, 'kod': -1, 'red': 0, 'normp': 3, 'rootno': -1, 'ord_cond': 2, 'ord_disc': 6, 'ord_den_j': 0}, {'p': '(67,w+3)', 'cp': 1, 'kod': 1, 'red': None, 'normp': 67, 'rootno': 1, 'ord_cond': 0, 'ord_disc': 0, 'ord_den_j': 0}], 'minD': '(27)', 'n_bad_primes': 1, 'ngens': 0, 'non_min_p': ['(67,w+3)'], 'nonmax_primes': [11], 'nonmax_rad': 11, 'normdisc': 5965202081477352858384969, 'number': 2, 'omega': {'__RealLiteral__': 0, 'data': '13.315573915739763183086552737167868528', 'prec': 130}, 'potential_good_reduction': True, 'q_curve': True, 'rank': 0, 'rank_bounds': [0, 0], 'reducible_primes': [11], 'reg': 1, 'root_analytic_conductor': 4.95036244939004, 'semistable': False, 'sha': 1, 'short_class_label': '9.1-a', 'short_label': '9.1-a2', 'signature': [0, 1], 'tamagawa_product': 1, 'torsion_gens': [], 'torsion_order': 1, 'torsion_primes': [], 'torsion_structure': [], 'trace_hash': 1207579577124872929}
52. label: 2.0.1023.1-9.1-b1
    {'Lvalue': {'__RealLiteral__': 0, 'data': '0.41631501333483699304480168899475444322', 'prec': 133}, 'abs_disc': 1023, 'ainvs': '0,0;1,1;1,0;-7255,353;153277,-20027', 'analytic_rank': 0, 'bad_primes': ['(3,w+1)'], 'base_change': [], 'class_deg': 11, 'class_label': '2.0.1023.1-9.1-b', 'class_size': 2, 'cm': -11, 'cm_type': -1, 'conductor_ideal': '(3)', 'conductor_label': '9.1', 'conductor_norm': 9, 'conductor_norm_factors': [3], 'degree': 2, 'disc': '(136690876080*a+1020997439973)', 'equation': '{y}^2+{y}={x}^3+\\left(a+1\\right){x}^2+\\left(353a-7255\\right){x}-20027a+153277', 'field_label': '2.0.1023.1', 'galois_images': ['11B.10.3'], 'gens': [], 'heights': [], 'iso_label': 'b', 'iso_nlabel': 1, 'isodeg': [1, 11], 'isogeny_matrix': [[1, 11], [11, 1]], 'jinv': '-32768,0', 'label': '2.0.1023.1-9.1-b1', 'local_data': [{'p': '(3,w+1)', 'cp': 1, 'kod': -1, 'red': 0, 'normp': 3, 'rootno': -1, 'ord_cond': 2, 'ord_disc': 6, 'ord_den_j': 0}, {'p': '(67,w+63)', 'cp': 1, 'kod': 1, 'red': None, 'normp': 67, 'rootno': 1, 'ord_cond': 0, 'ord_disc': 0, 'ord_den_j': 0}], 'minD': '(27)', 'n_bad_primes': 1, 'ngens': 0, 'non_min_p': ['(67,w+63)'], 'nonmax_primes': [11], 'nonmax_rad': 11, 'normdisc': 5965202081477352858384969, 'number': 1, 'omega': {'__RealLiteral__': 0, 'data': '13.315573915739763183086552737167868528', 'prec': 130}, 'potential_good_reduction': True, 'q_curve': True, 'rank': 0, 'rank_bounds': [0, 0], 'reducible_primes': [11], 'reg': 1, 'root_analytic_conductor': 4.95036244939004, 'semistable': False, 'sha': 1, 'short_class_label': '9.1-b', 'short_label': '9.1-b1', 'signature': [0, 1], 'tamagawa_product': 1, 'torsion_gens': [], 'torsion_order': 1, 'torsion_primes': [], 'torsion_structure': [], 'trace_hash': 1207579577124872929}
53. label: 2.0.1023.1-9.1-b2
    {'Lvalue': {'__RealLiteral__': 0, 'data': '0.41631501333483699304480168899475444322', 'prec': 133}, 'abs_disc': 1023, 'ainvs': '0,0;1,1;1,0;857,-31;12034,901', 'analytic_rank': 0, 'bad_primes': ['(3,w+1)'], 'base_change': [], 'class_deg': 11, 'class_label': '2.0.1023.1-9.1-b', 'class_size': 2, 'cm': -11, 'cm_type': -1, 'conductor_ideal': '(3)', 'conductor_label': '9.1', 'conductor_norm': 9, 'conductor_norm_factors': [3], 'degree': 2, 'disc': '(-249538320*a+349199613)', 'equation': '{y}^2+{y}={x}^3+\\left(a+1\\right){x}^2+\\left(-31a+857\\right){x}+901a+12034', 'field_label': '2.0.1023.1', 'galois_images': ['11B.10.3'], 'gens': [], 'heights': [], 'iso_label': 'b', 'iso_nlabel': 1, 'isodeg': [1, 11], 'isogeny_matrix': [[1, 11], [11, 1]], 'jinv': '-32768,0', 'label': '2.0.1023.1-9.1-b2', 'local_data': [{'p': '(3,w+1)', 'cp': 1, 'kod': -1, 'red': 0, 'normp': 3, 'rootno': -1, 'ord_cond': 2, 'ord_disc': 6, 'ord_den_j': 0}, {'p': '(23,w+18)', 'cp': 1, 'kod': 1, 'red': None, 'normp': 23, 'rootno': 1, 'ord_cond': 0, 'ord_disc': 0, 'ord_den_j': 0}], 'minD': '(27)', 'n_bad_primes': 1, 'ngens': 0, 'non_min_p': ['(23,w+18)'], 'nonmax_primes': [11], 'nonmax_rad': 11, 'normdisc': 15975761210942814009, 'number': 2, 'omega': {'__RealLiteral__': 0, 'data': '13.315573915739763183086552737167868528', 'prec': 130}, 'potential_good_reduction': True, 'q_curve': True, 'rank': 0, 'rank_bounds': [0, 0], 'reducible_primes': [11], 'reg': 1, 'root_analytic_conductor': 4.95036244939004, 'semistable': False, 'sha': 1, 'short_class_label': '9.1-b', 'short_label': '9.1-b2', 'signature': [0, 1], 'tamagawa_product': 1, 'torsion_gens': [], 'torsion_order': 1, 'torsion_primes': [], 'torsion_structure': [], 'trace_hash': 1207579577124872929}
54. label: 2.0.1023.1-11.1-a1
    {'Lvalue': {'__RealLiteral__': 0, 'data': '0.046311209004844516965205815938641958035', 'prec': 137}, 'abs_disc': 1023, 'ainvs': '0,0;-1,0;1,0;-7820,0;-263580,0', 'analytic_rank': 0, 'bad_primes': ['(11,w+5)'], 'base_change': ['11a2', '1046529.?.?'], 'class_deg': 25, 'class_label': '2.0.1023.1-11.1-a', 'class_size': 3, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(11,w+5)', 'conductor_label': '11.1', 'conductor_norm': 11, 'conductor_norm_factors': [11], 'degree': 2, 'disc': '(11)', 'equation': '{y}^2+{y}={x}^3-{x}^2-7820{x}-263580', 'field_label': '2.0.1023.1', 'galois_images': ['5Cs.1.1'], 'gens': [], 'heights': [], 'iso_label': 'a', 'iso_nlabel': 0, 'isodeg': [1, 5, 25], 'isogeny_matrix': [[1, 5, 25], [5, 1, 5], [25, 5, 1]], 'jinv': '-52893159101157376/11,0', 'label': '2.0.1023.1-11.1-a1', 'local_data': [{'p': '(11,w+5)', 'cp': 2, 'kod': 6, 'red': 1, 'normp': 11, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 2, 'ord_den_j': 2}], 'minD': '(11)', 'n_bad_primes': 1, 'ngens': 0, 'non_min_p': [], 'nonmax_primes': [5], 'nonmax_rad': 5, 'normdisc': 121, 'number': 1, 'omega': {'__RealLiteral__': 0, 'data': '0.74061744938238372708320268473009955547', 'prec': 133}, 'potential_good_reduction': False, 'q_curve': True, 'rank': 0, 'rank_bounds': [0, 0], 'reducible_primes': [5], 'reg': 1, 'root_analytic_conductor': 5.20504563658655, 'semistable': True, 'sha': 1, 'short_class_label': '11.1-a', 'short_label': '11.1-a1', 'signature': [0, 1], 'tamagawa_product': 2, 'torsion_gens': [], 'torsion_order': 1, 'torsion_primes': [], 'torsion_structure': [], 'trace_hash': 137003454902435182}
55. label: 2.0.1023.1-11.1-a2
    {'Lvalue': {'__RealLiteral__': 0, 'data': '0.046311209004844516965205815938641958035', 'prec': 137}, 'abs_disc': 1023, 'ainvs': '0,0;-1,0;1,0;-10,0;-20,0', 'analytic_rank': 0, 'bad_primes': ['(11,w+5)'], 'base_change': ['11a1', '1046529.?.?'], 'class_deg': 25, 'class_label': '2.0.1023.1-11.1-a', 'class_size': 3, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(11,w+5)', 'conductor_label': '11.1', 'conductor_norm': 11, 'conductor_norm_factors': [11], 'degree': 2, 'disc': '(161051)', 'equation': '{y}^2+{y}={x}^3-{x}^2-10{x}-20', 'field_label': '2.0.1023.1', 'galois_images': ['5Cs.1.1'], 'gens': [], 'heights': [], 'iso_label': 'a', 'iso_nlabel': 0, 'isodeg': [1, 5], 'isogeny_matrix': [[1, 5, 25], [5, 1, 5], [25, 5, 1]], 'jinv': '-122023936/161051,0', 'label': '2.0.1023.1-11.1-a2', 'local_data': [{'p': '(11,w+5)', 'cp': 10, 'kod': 14, 'red': 1, 'normp': 11, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 10, 'ord_den_j': 10}], 'minD': '(161051)', 'n_bad_primes': 1, 'ngens': 0, 'non_min_p': [], 'nonmax_primes': [5], 'nonmax_rad': 5, 'normdisc': 25937424601, 'number': 2, 'omega': {'__RealLiteral__': 0, 'data': '3.7030872469119186354160134236504977773', 'prec': 130}, 'potential_good_reduction': False, 'q_curve': True, 'rank': 0, 'rank_bounds': [0, 0], 'reducible_primes': [5], 'reg': 1, 'root_analytic_conductor': 5.20504563658655, 'semistable': True, 'sha': 1, 'short_class_label': '11.1-a', 'short_label': '11.1-a2', 'signature': [0, 1], 'tamagawa_product': 10, 'torsion_gens': ['[[5,0],[-6,0],[1,0]]'], 'torsion_order': 5, 'torsion_primes': [5], 'torsion_structure': [5], 'trace_hash': 137003454902435182}
56. label: 2.0.1023.1-11.1-a3
    {'Lvalue': {'__RealLiteral__': 0, 'data': '0.046311209004844516965205815938641958035', 'prec': 137}, 'abs_disc': 1023, 'ainvs': '0,0;-1,0;1,0;0,0;0,0', 'analytic_rank': 0, 'bad_primes': ['(11,w+5)'], 'base_change': ['1046529.?.?', '11a3'], 'class_deg': 25, 'class_label': '2.0.1023.1-11.1-a', 'class_size': 3, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(11,w+5)', 'conductor_label': '11.1', 'conductor_norm': 11, 'conductor_norm_factors': [11], 'degree': 2, 'disc': '(11)', 'equation': '{y}^2+{y}={x}^3-{x}^2', 'field_label': '2.0.1023.1', 'galois_images': ['5Cs.1.1'], 'gens': [], 'heights': [], 'iso_label': 'a', 'iso_nlabel': 0, 'isodeg': [1, 5, 25], 'isogeny_matrix': [[1, 5, 25], [5, 1, 5], [25, 5, 1]], 'jinv': '-4096/11,0', 'label': '2.0.1023.1-11.1-a3', 'local_data': [{'p': '(11,w+5)', 'cp': 2, 'kod': 6, 'red': 1, 'normp': 11, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 2, 'ord_den_j': 2}], 'minD': '(11)', 'n_bad_primes': 1, 'ngens': 0, 'non_min_p': [], 'nonmax_primes': [5], 'nonmax_rad': 5, 'normdisc': 121, 'number': 3, 'omega': {'__RealLiteral__': 0, 'data': '18.515436234559593177080067118252488887', 'prec': 130}, 'potential_good_reduction': False, 'q_curve': True, 'rank': 0, 'rank_bounds': [0, 0], 'reducible_primes': [5], 'reg': 1, 'root_analytic_conductor': 5.20504563658655, 'semistable': True, 'sha': 1, 'short_class_label': '11.1-a', 'short_label': '11.1-a3', 'signature': [0, 1], 'tamagawa_product': 2, 'torsion_gens': ['[[0,0],[-1,0],[1,0]]'], 'torsion_order': 5, 'torsion_primes': [5], 'torsion_structure': [5], 'trace_hash': 137003454902435182}
57. label: 2.0.1023.1-11.1-b1
    {'Lvalue': {'__RealLiteral__': 0, 'data': '0.70909423081054856949213058133326249076', 'prec': 133}, 'abs_disc': 1023, 'ainvs': '0,0;1,0;1,0;-7515340,0;7927456632,0', 'analytic_rank': 1, 'bad_primes': ['(11,w+5)'], 'base_change': ['1089j3', '10571a3'], 'class_deg': 25, 'class_label': '2.0.1023.1-11.1-b', 'class_size': 3, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(11,w+5)', 'conductor_label': '11.1', 'conductor_norm': 11, 'conductor_norm_factors': [11], 'degree': 2, 'disc': '(9762540491)', 'equation': '{y}^2+{y}={x}^3+{x}^2-7515340{x}+7927456632', 'field_label': '2.0.1023.1', 'galois_images': ['5Cs.4.1'], 'gens': ['[[-100289/12,0],[1612181/72,-1612217/36],[1,0]]'], 'heights': [{'__RealLiteral__': 0, 'data': '7.6557516640989844581240602745918733973', 'prec': 130}], 'iso_label': 'b', 'iso_nlabel': 1, 'isodeg': [1, 5, 25], 'isogeny_matrix': [[1, 5, 25], [5, 1, 5], [25, 5, 1]], 'jinv': '-52893159101157376/11,0', 'label': '2.0.1023.1-11.1-b1', 'local_data': [{'p': '(11,w+5)', 'cp': 2, 'kod': 6, 'red': -1, 'normp': 11, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 2, 'ord_den_j': 2}, {'p': '(31,w+15)', 'cp': 1, 'kod': 1, 'red': None, 'normp': 31, 'rootno': 1, 'ord_cond': 0, 'ord_disc': 0, 'ord_den_j': 0}], 'minD': '(11)', 'n_bad_primes': 1, 'ngens': 1, 'non_min_p': ['(31,w+15)'], 'nonmax_primes': [5], 'nonmax_rad': 5, 'normdisc': 95307196838414521081, 'number': 1, 'omega': {'__RealLiteral__': 0, 'data': '0.74061744938238372708320268473009955546', 'prec': 133}, 'potential_good_reduction': False, 'q_curve': True, 'rank': 1, 'rank_bounds': [1, 1], 'reducible_primes': [5], 'reg': {'__RealLiteral__': 0, 'data': '7.6557516640989844581240602745918733973', 'prec': 130}, 'root_analytic_conductor': 5.20504563658655, 'semistable': True, 'sha': 1, 'short_class_label': '11.1-b', 'short_label': '11.1-b1', 'signature': [0, 1], 'tamagawa_product': 2, 'torsion_gens': [], 'torsion_order': 1, 'torsion_primes': [], 'torsion_structure': [], 'trace_hash': 1741580558219653571}
58. label: 2.0.1023.1-11.1-b2
    {'Lvalue': {'__RealLiteral__': 0, 'data': '0.70909423081054856949213058133326249076', 'prec': 133}, 'abs_disc': 1023, 'ainvs': '0,0;1,0;1,0;-9930,0;686572,0', 'analytic_rank': 1, 'bad_primes': ['(11,w+5)'], 'base_change': ['1089j2', '10571a2'], 'class_deg': 25, 'class_label': '2.0.1023.1-11.1-b', 'class_size': 3, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(11,w+5)', 'conductor_label': '11.1', 'conductor_norm': 11, 'conductor_norm_factors': [11], 'degree': 2, 'disc': '(142933355328731)', 'equation': '{y}^2+{y}={x}^3+{x}^2-9930{x}+686572', 'field_label': '2.0.1023.1', 'galois_images': ['5Cs.4.1'], 'gens': ['[[-2081/12,0],[-3787/72,3751/36],[1,0]]'], 'heights': [{'__RealLiteral__': 0, 'data': '1.5311503328197968916248120549183746795', 'prec': 130}], 'iso_label': 'b', 'iso_nlabel': 1, 'isodeg': [1, 5], 'isogeny_matrix': [[1, 5, 25], [5, 1, 5], [25, 5, 1]], 'jinv': '-122023936/161051,0', 'label': '2.0.1023.1-11.1-b2', 'local_data': [{'p': '(11,w+5)', 'cp': 2, 'kod': 14, 'red': -1, 'normp': 11, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 10, 'ord_den_j': 10}, {'p': '(31,w+15)', 'cp': 1, 'kod': 1, 'red': None, 'normp': 31, 'rootno': 1, 'ord_cond': 0, 'ord_disc': 0, 'ord_den_j': 0}], 'minD': '(161051)', 'n_bad_primes': 1, 'ngens': 1, 'non_min_p': ['(31,w+15)'], 'nonmax_primes': [5], 'nonmax_rad': 5, 'normdisc': 20429944065529274553074070361, 'number': 2, 'omega': {'__RealLiteral__': 0, 'data': '3.7030872469119186354160134236504977773', 'prec': 130}, 'potential_good_reduction': False, 'q_curve': True, 'rank': 1, 'rank_bounds': [1, 1], 'reducible_primes': [5], 'reg': {'__RealLiteral__': 0, 'data': '1.5311503328197968916248120549183746795', 'prec': 130}, 'root_analytic_conductor': 5.20504563658655, 'semistable': True, 'sha': 1, 'short_class_label': '11.1-b', 'short_label': '11.1-b2', 'signature': [0, 1], 'tamagawa_product': 2, 'torsion_gens': [], 'torsion_order': 1, 'torsion_primes': [], 'torsion_structure': [], 'trace_hash': 1741580558219653571}
59. label: 2.0.1023.1-11.1-b3
    {'Lvalue': {'__RealLiteral__': 0, 'data': '0.70909423081054856949213058133326249076', 'prec': 133}, 'abs_disc': 1023, 'ainvs': '0,0;1,0;1,0;-320,0;-5348,0', 'analytic_rank': 1, 'bad_primes': ['(11,w+5)'], 'base_change': ['10571a1', '1089j1'], 'class_deg': 25, 'class_label': '2.0.1023.1-11.1-b', 'class_size': 3, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(11,w+5)', 'conductor_label': '11.1', 'conductor_norm': 11, 'conductor_norm_factors': [11], 'degree': 2, 'disc': '(9762540491)', 'equation': '{y}^2+{y}={x}^3+{x}^2-320{x}-5348', 'field_label': '2.0.1023.1', 'galois_images': ['5Cs.4.1'], 'gens': ['[[-32/3,0],[-20/9,31/9],[1,0]]'], 'heights': [{'__RealLiteral__': 0, 'data': '0.30623006656395937832496241098367493589', 'prec': 133}], 'iso_label': 'b', 'iso_nlabel': 1, 'isodeg': [1, 5, 25], 'isogeny_matrix': [[1, 5, 25], [5, 1, 5], [25, 5, 1]], 'jinv': '-4096/11,0', 'label': '2.0.1023.1-11.1-b3', 'local_data': [{'p': '(11,w+5)', 'cp': 2, 'kod': 6, 'red': -1, 'normp': 11, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 2, 'ord_den_j': 2}, {'p': '(31,w+15)', 'cp': 1, 'kod': 1, 'red': None, 'normp': 31, 'rootno': 1, 'ord_cond': 0, 'ord_disc': 0, 'ord_den_j': 0}], 'minD': '(11)', 'n_bad_primes': 1, 'ngens': 1, 'non_min_p': ['(31,w+15)'], 'nonmax_primes': [5], 'nonmax_rad': 5, 'normdisc': 95307196838414521081, 'number': 3, 'omega': {'__RealLiteral__': 0, 'data': '18.515436234559593177080067118252488887', 'prec': 130}, 'potential_good_reduction': False, 'q_curve': True, 'rank': 1, 'rank_bounds': [1, 1], 'reducible_primes': [5], 'reg': {'__RealLiteral__': 0, 'data': '0.30623006656395937832496241098367493589', 'prec': 133}, 'root_analytic_conductor': 5.20504563658655, 'semistable': True, 'sha': 1, 'short_class_label': '11.1-b', 'short_label': '11.1-b3', 'signature': [0, 1], 'tamagawa_product': 2, 'torsion_gens': [], 'torsion_order': 1, 'torsion_primes': [], 'torsion_structure': [], 'trace_hash': 1741580558219653571}
60. label: 2.0.1023.1-11.1-c1
    {'Lvalue': {'__RealLiteral__': 0, 'data': '1.1577802251211129241301453984660489509', 'prec': 130}, 'abs_disc': 1023, 'ainvs': '0,0;-1,0;1,0;-946260,0;354609639,0', 'analytic_rank': 0, 'bad_primes': ['(11,w+5)'], 'base_change': ['95139k3', '121d3'], 'class_deg': 25, 'class_label': '2.0.1023.1-11.1-c', 'class_size': 3, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(11,w+5)', 'conductor_label': '11.1', 'conductor_norm': 11, 'conductor_norm_factors': [11], 'degree': 2, 'disc': '(19487171)', 'equation': '{y}^2+{y}={x}^3-{x}^2-946260{x}+354609639', 'field_label': '2.0.1023.1', 'galois_images': ['5Cs.4.1'], 'gens': [], 'heights': [], 'iso_label': 'c', 'iso_nlabel': 2, 'isodeg': [1, 5, 25], 'isogeny_matrix': [[1, 5, 25], [5, 1, 5], [25, 5, 1]], 'jinv': '-52893159101157376/11,0', 'label': '2.0.1023.1-11.1-c1', 'local_data': [{'p': '(11,w+5)', 'cp': 2, 'kod': 6, 'red': 1, 'normp': 11, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 2, 'ord_den_j': 2}], 'minD': '(11)', 'n_bad_primes': 1, 'ngens': 0, 'non_min_p': ['(11,w+5)'], 'nonmax_primes': [5], 'nonmax_rad': 5, 'normdisc': 379749833583241, 'number': 1, 'omega': {'__RealLiteral__': 0, 'data': '0.74061744938238372708320268473009955547', 'prec': 133}, 'potential_good_reduction': False, 'q_curve': True, 'rank': 0, 'rank_bounds': [0, 0], 'reducible_primes': [5], 'reg': 1, 'root_analytic_conductor': 5.20504563658655, 'semistable': True, 'sha': 25, 'short_class_label': '11.1-c', 'short_label': '11.1-c1', 'signature': [0, 1], 'tamagawa_product': 2, 'torsion_gens': [], 'torsion_order': 1, 'torsion_primes': [], 'torsion_structure': [], 'trace_hash': 350111234348183252}
61. label: 2.0.1023.1-11.1-c2
    {'Lvalue': {'__RealLiteral__': 0, 'data': '1.1577802251211129241301453984660489509', 'prec': 130}, 'abs_disc': 1023, 'ainvs': '0,0;-1,0;1,0;-1250,0;31239,0', 'analytic_rank': 0, 'bad_primes': ['(11,w+5)'], 'base_change': ['95139k2', '121d2'], 'class_deg': 25, 'class_label': '2.0.1023.1-11.1-c', 'class_size': 3, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(11,w+5)', 'conductor_label': '11.1', 'conductor_norm': 11, 'conductor_norm_factors': [11], 'degree': 2, 'disc': '(285311670611)', 'equation': '{y}^2+{y}={x}^3-{x}^2-1250{x}+31239', 'field_label': '2.0.1023.1', 'galois_images': ['5Cs.4.1'], 'gens': [], 'heights': [], 'iso_label': 'c', 'iso_nlabel': 2, 'isodeg': [1, 5], 'isogeny_matrix': [[1, 5, 25], [5, 1, 5], [25, 5, 1]], 'jinv': '-122023936/161051,0', 'label': '2.0.1023.1-11.1-c2', 'local_data': [{'p': '(11,w+5)', 'cp': 10, 'kod': 14, 'red': 1, 'normp': 11, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 10, 'ord_den_j': 10}], 'minD': '(161051)', 'n_bad_primes': 1, 'ngens': 0, 'non_min_p': ['(11,w+5)'], 'nonmax_primes': [5], 'nonmax_rad': 5, 'normdisc': 81402749386839761113321, 'number': 2, 'omega': {'__RealLiteral__': 0, 'data': '3.7030872469119186354160134236504977773', 'prec': 130}, 'potential_good_reduction': False, 'q_curve': True, 'rank': 0, 'rank_bounds': [0, 0], 'reducible_primes': [5], 'reg': 1, 'root_analytic_conductor': 5.20504563658655, 'semistable': True, 'sha': 1, 'short_class_label': '11.1-c', 'short_label': '11.1-c2', 'signature': [0, 1], 'tamagawa_product': 10, 'torsion_gens': [], 'torsion_order': 1, 'torsion_primes': [], 'torsion_structure': [], 'trace_hash': 350111234348183252}
62. label: 2.0.1023.1-11.1-c3
    {'Lvalue': {'__RealLiteral__': 0, 'data': '1.1577802251211129241301453984660489509', 'prec': 130}, 'abs_disc': 1023, 'ainvs': '0,0;-1,0;1,0;-40,0;-221,0', 'analytic_rank': 0, 'bad_primes': ['(11,w+5)'], 'base_change': ['121d1', '95139k1'], 'class_deg': 25, 'class_label': '2.0.1023.1-11.1-c', 'class_size': 3, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(11,w+5)', 'conductor_label': '11.1', 'conductor_norm': 11, 'conductor_norm_factors': [11], 'degree': 2, 'disc': '(19487171)', 'equation': '{y}^2+{y}={x}^3-{x}^2-40{x}-221', 'field_label': '2.0.1023.1', 'galois_images': ['5Cs.4.1'], 'gens': [], 'heights': [], 'iso_label': 'c', 'iso_nlabel': 2, 'isodeg': [1, 5, 25], 'isogeny_matrix': [[1, 5, 25], [5, 1, 5], [25, 5, 1]], 'jinv': '-4096/11,0', 'label': '2.0.1023.1-11.1-c3', 'local_data': [{'p': '(11,w+5)', 'cp': 2, 'kod': 6, 'red': 1, 'normp': 11, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 2, 'ord_den_j': 2}], 'minD': '(11)', 'n_bad_primes': 1, 'ngens': 0, 'non_min_p': ['(11,w+5)'], 'nonmax_primes': [5], 'nonmax_rad': 5, 'normdisc': 379749833583241, 'number': 3, 'omega': {'__RealLiteral__': 0, 'data': '18.515436234559593177080067118252488887', 'prec': 130}, 'potential_good_reduction': False, 'q_curve': True, 'rank': 0, 'rank_bounds': [0, 0], 'reducible_primes': [5], 'reg': 1, 'root_analytic_conductor': 5.20504563658655, 'semistable': True, 'sha': 1, 'short_class_label': '11.1-c', 'short_label': '11.1-c3', 'signature': [0, 1], 'tamagawa_product': 2, 'torsion_gens': [], 'torsion_order': 1, 'torsion_primes': [], 'torsion_structure': [], 'trace_hash': 350111234348183252}
63. label: 2.0.1023.1-11.1-d1
    {'Lvalue': {'__RealLiteral__': 0, 'data': '33.170773280623964086721561862016632713', 'prec': 130}, 'abs_disc': 1023, 'ainvs': '0,0;0,0;1,0;-70383,0;7187035,0', 'analytic_rank': 1, 'bad_primes': ['(11,w+5)'], 'base_change': ['116281d3', '99d3'], 'class_deg': 25, 'class_label': '2.0.1023.1-11.1-d', 'class_size': 3, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(11,w+5)', 'conductor_label': '11.1', 'conductor_norm': 11, 'conductor_norm_factors': [11], 'degree': 2, 'disc': '(8019)', 'equation': '{y}^2+{y}={x}^3-70383{x}+7187035', 'field_label': '2.0.1023.1', 'galois_images': ['5Cs.4.1'], 'gens': [], 'heights': [], 'iso_label': 'd', 'iso_nlabel': 3, 'isodeg': [1, 5, 25], 'isogeny_matrix': [[1, 5, 25], [5, 1, 5], [25, 5, 1]], 'jinv': '-52893159101157376/11,0', 'label': '2.0.1023.1-11.1-d1', 'local_data': [{'p': '(3,w+1)', 'cp': 1, 'kod': 1, 'red': None, 'normp': 3, 'rootno': 1, 'ord_cond': 0, 'ord_disc': 0, 'ord_den_j': 0}, {'p': '(11,w+5)', 'cp': 2, 'kod': 6, 'red': -1, 'normp': 11, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 2, 'ord_den_j': 2}], 'minD': '(11)', 'n_bad_primes': 1, 'ngens': 0, 'non_min_p': ['(3,w+1)'], 'nonmax_primes': [5], 'nonmax_rad': 5, 'normdisc': 64304361, 'number': 1, 'omega': {'__RealLiteral__': 0, 'data': '0.74061744938238372708320268473009955548', 'prec': 133}, 'potential_good_reduction': False, 'q_curve': True, 'rank_bounds': [0, 1], 'reducible_primes': [5], 'reg': 1, 'root_analytic_conductor': 5.20504563658655, 'semistable': True, 'short_class_label': '11.1-d', 'short_label': '11.1-d1', 'signature': [0, 1], 'tamagawa_product': 2, 'torsion_gens': [], 'torsion_order': 1, 'torsion_primes': [], 'torsion_structure': [], 'trace_hash': 1676159840603401818}
64. label: 2.0.1023.1-11.1-d2
    {'Lvalue': {'__RealLiteral__': 0, 'data': '33.170773280623964086721561862016632713', 'prec': 130}, 'abs_disc': 1023, 'ainvs': '0,0;0,0;1,0;-93,0;625,0', 'analytic_rank': 1, 'bad_primes': ['(11,w+5)'], 'base_change': ['116281d2', '99d2'], 'class_deg': 25, 'class_label': '2.0.1023.1-11.1-d', 'class_size': 3, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(11,w+5)', 'conductor_label': '11.1', 'conductor_norm': 11, 'conductor_norm_factors': [11], 'degree': 2, 'disc': '(117406179)', 'equation': '{y}^2+{y}={x}^3-93{x}+625', 'field_label': '2.0.1023.1', 'galois_images': ['5Cs.4.1'], 'gens': [], 'heights': [], 'iso_label': 'd', 'iso_nlabel': 3, 'isodeg': [1, 5], 'isogeny_matrix': [[1, 5, 25], [5, 1, 5], [25, 5, 1]], 'jinv': '-122023936/161051,0', 'label': '2.0.1023.1-11.1-d2', 'local_data': [{'p': '(3,w+1)', 'cp': 1, 'kod': 1, 'red': None, 'normp': 3, 'rootno': 1, 'ord_cond': 0, 'ord_disc': 0, 'ord_den_j': 0}, {'p': '(11,w+5)', 'cp': 2, 'kod': 14, 'red': -1, 'normp': 11, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 10, 'ord_den_j': 10}], 'minD': '(161051)', 'n_bad_primes': 1, 'ngens': 0, 'non_min_p': ['(3,w+1)'], 'nonmax_primes': [5], 'nonmax_rad': 5, 'normdisc': 13784210867380041, 'number': 2, 'omega': {'__RealLiteral__': 0, 'data': '3.7030872469119186354160134236504977773', 'prec': 130}, 'potential_good_reduction': False, 'q_curve': True, 'rank_bounds': [0, 1], 'reducible_primes': [5], 'reg': 1, 'root_analytic_conductor': 5.20504563658655, 'semistable': True, 'short_class_label': '11.1-d', 'short_label': '11.1-d2', 'signature': [0, 1], 'tamagawa_product': 2, 'torsion_gens': [], 'torsion_order': 1, 'torsion_primes': [], 'torsion_structure': [], 'trace_hash': 1676159840603401818}
65. label: 2.0.1023.1-11.1-d3
    {'Lvalue': {'__RealLiteral__': 0, 'data': '33.170773280623964086721561862016632713', 'prec': 130}, 'abs_disc': 1023, 'ainvs': '0,0;0,0;1,0;-3,0;-5,0', 'analytic_rank': 1, 'bad_primes': ['(11,w+5)'], 'base_change': ['99d1', '116281d1'], 'class_deg': 25, 'class_label': '2.0.1023.1-11.1-d', 'class_size': 3, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(11,w+5)', 'conductor_label': '11.1', 'conductor_norm': 11, 'conductor_norm_factors': [11], 'degree': 2, 'disc': '(8019)', 'equation': '{y}^2+{y}={x}^3-3{x}-5', 'field_label': '2.0.1023.1', 'galois_images': ['5Cs.4.1'], 'gens': [], 'heights': [], 'iso_label': 'd', 'iso_nlabel': 3, 'isodeg': [1, 5, 25], 'isogeny_matrix': [[1, 5, 25], [5, 1, 5], [25, 5, 1]], 'jinv': '-4096/11,0', 'label': '2.0.1023.1-11.1-d3', 'local_data': [{'p': '(3,w+1)', 'cp': 1, 'kod': 1, 'red': None, 'normp': 3, 'rootno': 1, 'ord_cond': 0, 'ord_disc': 0, 'ord_den_j': 0}, {'p': '(11,w+5)', 'cp': 2, 'kod': 6, 'red': -1, 'normp': 11, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 2, 'ord_den_j': 2}], 'minD': '(11)', 'n_bad_primes': 1, 'ngens': 0, 'non_min_p': ['(3,w+1)'], 'nonmax_primes': [5], 'nonmax_rad': 5, 'normdisc': 64304361, 'number': 3, 'omega': {'__RealLiteral__': 0, 'data': '18.515436234559593177080067118252488887', 'prec': 130}, 'potential_good_reduction': False, 'q_curve': True, 'rank_bounds': [0, 1], 'reducible_primes': [5], 'reg': 1, 'root_analytic_conductor': 5.20504563658655, 'semistable': True, 'short_class_label': '11.1-d', 'short_label': '11.1-d3', 'signature': [0, 1], 'tamagawa_product': 2, 'torsion_gens': [], 'torsion_order': 1, 'torsion_primes': [], 'torsion_structure': [], 'trace_hash': 1676159840603401818}
66. label: 2.0.1027.1-4.1-a1
    {'Lvalue': {'__RealLiteral__': 0, 'data': '3.9649590172079518929500223095647044619', 'prec': 130}, 'abs_disc': 1027, 'ainvs': '1,1;-1,1;1,0;873,-1;-17148,-1887', 'analytic_rank': 1, 'bad_primes': ['(2)'], 'base_change': [], 'class_deg': 5, 'class_label': '2.0.1027.1-4.1-a', 'class_size': 2, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(2)', 'conductor_label': '4.1', 'conductor_norm': 4, 'conductor_norm_factors': [2], 'degree': 2, 'disc': '(-200540160*a+2230157312)', 'equation': '{y}^2+\\left(a+1\\right){x}{y}+{y}={x}^3+\\left(a-1\\right){x}^2+\\left(-a+873\\right){x}-1887a-17148', 'field_label': '2.0.1027.1', 'galois_images': ['3Ns', '5B'], 'gens': [], 'heights': [], 'iso_label': 'a', 'iso_nlabel': 0, 'isodeg': [1, 5], 'isogeny_matrix': [[1, 5], [5, 1]], 'jinv': '-1680914269/32768,0', 'label': '2.0.1027.1-4.1-a1', 'local_data': [{'p': '(7,w+1)', 'cp': 1, 'kod': 1, 'red': None, 'normp': 7, 'rootno': 1, 'ord_cond': 0, 'ord_disc': 0, 'ord_den_j': 0}, {'p': '(2)', 'cp': 1, 'kod': 19, 'red': -1, 'normp': 4, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 15, 'ord_den_j': 15}], 'minD': '(32768)', 'n_bad_primes': 1, 'ngens': 0, 'non_min_p': ['(7,w+1)'], 'nonmax_primes': [3, 5], 'nonmax_rad': 15, 'normdisc': 14861968965709594624, 'number': 1, 'omega': {'__RealLiteral__': 0, 'data': '3.9485173026826749898453673697967570865', 'prec': 130}, 'potential_good_reduction': False, 'q_curve': True, 'rank_bounds': [0, 1], 'reducible_primes': [5], 'reg': 1, 'root_analytic_conductor': 4.049848463235507, 'semistable': True, 'short_class_label': '4.1-a', 'short_label': '4.1-a1', 'signature': [0, 1], 'tamagawa_product': 1, 'torsion_gens': [], 'torsion_order': 1, 'torsion_primes': [], 'torsion_structure': [], 'trace_hash': 1283994502147398475}
67. label: 2.0.1027.1-4.1-a2
    {'Lvalue': {'__RealLiteral__': 0, 'data': '3.9649590172079518929500223095647044619', 'prec': 130}, 'abs_disc': 1027, 'ainvs': '1,1;-1,1;1,0;1148,-76;-4470,767', 'analytic_rank': 1, 'bad_primes': ['(2)'], 'base_change': [], 'class_deg': 5, 'class_label': '2.0.1027.1-4.1-a', 'class_size': 2, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(2)', 'conductor_label': '4.1', 'conductor_norm': 4, 'conductor_norm_factors': [2], 'degree': 2, 'disc': '(-48960*a+544472)', 'equation': '{y}^2+\\left(a+1\\right){x}{y}+{y}={x}^3+\\left(a-1\\right){x}^2+\\left(-76a+1148\\right){x}+767a-4470', 'field_label': '2.0.1027.1', 'galois_images': ['3Ns', '5B'], 'gens': [], 'heights': [], 'iso_label': 'a', 'iso_nlabel': 0, 'isodeg': [1, 5], 'isogeny_matrix': [[1, 5], [5, 1]], 'jinv': '1331/8,0', 'label': '2.0.1027.1-4.1-a2', 'local_data': [{'p': '(7,w+1)', 'cp': 1, 'kod': 1, 'red': None, 'normp': 7, 'rootno': 1, 'ord_cond': 0, 'ord_disc': 0, 'ord_den_j': 0}, {'p': '(2)', 'cp': 1, 'kod': 7, 'red': -1, 'normp': 4, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 3, 'ord_den_j': 3}], 'minD': '(8)', 'n_bad_primes': 1, 'ngens': 0, 'non_min_p': ['(7,w+1)'], 'nonmax_primes': [3, 5], 'nonmax_rad': 15, 'normdisc': 885842380864, 'number': 2, 'omega': {'__RealLiteral__': 0, 'data': '19.742586513413374949226836848983785432', 'prec': 130}, 'potential_good_reduction': False, 'q_curve': True, 'rank_bounds': [0, 1], 'reducible_primes': [5], 'reg': 1, 'root_analytic_conductor': 4.049848463235507, 'semistable': True, 'short_class_label': '4.1-a', 'short_label': '4.1-a2', 'signature': [0, 1], 'tamagawa_product': 1, 'torsion_gens': [], 'torsion_order': 1, 'torsion_primes': [], 'torsion_structure': [], 'trace_hash': 1283994502147398475}
68. label: 2.0.1027.1-4.1-b1
    {'Lvalue': {'__RealLiteral__': 0, 'data': '3.9649590172079518929500223095647044619', 'prec': 130}, 'abs_disc': 1027, 'ainvs': '0,1;1,1;0,1;1130,-127;-2651,2889', 'analytic_rank': 1, 'bad_primes': ['(2)'], 'base_change': [], 'class_deg': 5, 'class_label': '2.0.1027.1-4.1-b', 'class_size': 2, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(2)', 'conductor_label': '4.1', 'conductor_norm': 4, 'conductor_norm_factors': [2], 'degree': 2, 'disc': '(200540160*a+2029617152)', 'equation': '{y}^2+a{x}{y}+a{y}={x}^3+\\left(a+1\\right){x}^2+\\left(-127a+1130\\right){x}+2889a-2651', 'field_label': '2.0.1027.1', 'galois_images': ['3Ns', '5B'], 'gens': ['[[141740003851/3731443272,9251291927/29851546176],[49541733139436495/1719210247368192,-12873602142610667/644703842763072],[1,0]]'], 'heights': [{'__RealLiteral__': 0, 'data': '16.090142240383623442401111040597120716', 'prec': 130}], 'iso_label': 'b', 'iso_nlabel': 1, 'isodeg': [1, 5], 'isogeny_matrix': [[1, 5], [5, 1]], 'jinv': '-1680914269/32768,0', 'label': '2.0.1027.1-4.1-b1', 'local_data': [{'p': '(7,w+5)', 'cp': 1, 'kod': 1, 'red': None, 'normp': 7, 'rootno': 1, 'ord_cond': 0, 'ord_disc': 0, 'ord_den_j': 0}, {'p': '(2)', 'cp': 1, 'kod': 19, 'red': -1, 'normp': 4, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 15, 'ord_den_j': 15}], 'minD': '(32768)', 'n_bad_primes': 1, 'ngens': 1, 'non_min_p': ['(7,w+5)'], 'nonmax_primes': [3, 5], 'nonmax_rad': 15, 'normdisc': 14861968965709594624, 'number': 1, 'omega': {'__RealLiteral__': 0, 'data': '3.9485173026826749898453673697967570865', 'prec': 130}, 'potential_good_reduction': False, 'q_curve': True, 'rank': 1, 'rank_bounds': [1, 1], 'reducible_primes': [5], 'reg': {'__RealLiteral__': 0, 'data': '16.090142240383623442401111040597120716', 'prec': 130}, 'root_analytic_conductor': 4.049848463235507, 'semistable': True, 'sha': 1, 'short_class_label': '4.1-b', 'short_label': '4.1-b1', 'signature': [0, 1], 'tamagawa_product': 1, 'torsion_gens': [], 'torsion_order': 1, 'torsion_primes': [], 'torsion_structure': [], 'trace_hash': 1283994502147398475}
69. label: 2.0.1027.1-4.1-b2
    {'Lvalue': {'__RealLiteral__': 0, 'data': '3.9649590172079518929500223095647044619', 'prec': 130}, 'abs_disc': 1027, 'ainvs': '0,1;1,1;0,1;1330,-52;-6594,510', 'analytic_rank': 1, 'bad_primes': ['(2)'], 'base_change': [], 'class_deg': 5, 'class_label': '2.0.1027.1-4.1-b', 'class_size': 2, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(2)', 'conductor_label': '4.1', 'conductor_norm': 4, 'conductor_norm_factors': [2], 'degree': 2, 'disc': '(48960*a+495512)', 'equation': '{y}^2+a{x}{y}+a{y}={x}^3+\\left(a+1\\right){x}^2+\\left(-52a+1330\\right){x}+510a-6594', 'field_label': '2.0.1027.1', 'galois_images': ['3Ns', '5B'], 'gens': ['[[9140/529,-102/529],[-201344/12167,-108706/12167],[1,0]]'], 'heights': [{'__RealLiteral__': 0, 'data': '3.2180284480767246884802222081194241431', 'prec': 130}], 'iso_label': 'b', 'iso_nlabel': 1, 'isodeg': [1, 5], 'isogeny_matrix': [[1, 5], [5, 1]], 'jinv': '1331/8,0', 'label': '2.0.1027.1-4.1-b2', 'local_data': [{'p': '(7,w+5)', 'cp': 1, 'kod': 1, 'red': None, 'normp': 7, 'rootno': 1, 'ord_cond': 0, 'ord_disc': 0, 'ord_den_j': 0}, {'p': '(2)', 'cp': 1, 'kod': 7, 'red': -1, 'normp': 4, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 3, 'ord_den_j': 3}], 'minD': '(8)', 'n_bad_primes': 1, 'ngens': 1, 'non_min_p': ['(7,w+5)'], 'nonmax_primes': [3, 5], 'nonmax_rad': 15, 'normdisc': 885842380864, 'number': 2, 'omega': {'__RealLiteral__': 0, 'data': '19.742586513413374949226836848983785432', 'prec': 130}, 'potential_good_reduction': False, 'q_curve': True, 'rank': 1, 'rank_bounds': [1, 1], 'reducible_primes': [5], 'reg': {'__RealLiteral__': 0, 'data': '3.2180284480767246884802222081194241431', 'prec': 130}, 'root_analytic_conductor': 4.049848463235507, 'semistable': True, 'sha': 1, 'short_class_label': '4.1-b', 'short_label': '4.1-b2', 'signature': [0, 1], 'tamagawa_product': 1, 'torsion_gens': [], 'torsion_order': 1, 'torsion_primes': [], 'torsion_structure': [], 'trace_hash': 1283994502147398475}
70. label: 2.0.1028.1-2.1-a1
    {'Lvalue': {'__RealLiteral__': 0, 'data': '3.8020734397334215377266904449471745595', 'prec': 130}, 'abs_disc': 1028, 'ainvs': '1,1;1,0;1,1;1435,-22;-8861,220', 'analytic_rank': 0, 'bad_primes': ['(2,w+1)'], 'base_change': [], 'class_deg': 2, 'class_label': '2.0.1028.1-2.1-a', 'class_size': 2, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(2,w+1)', 'conductor_label': '2.1', 'conductor_norm': 2, 'conductor_norm_factors': [2], 'degree': 2, 'disc': '(1024)', 'equation': '{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3+{x}^2+\\left(-22a+1435\\right){x}+220a-8861', 'field_label': '2.0.1028.1', 'galois_images': ['2B'], 'gens': [], 'heights': [], 'iso_label': 'a', 'iso_nlabel': 0, 'isodeg': [1, 2], 'isogeny_matrix': [[1, 2], [2, 1]], 'jinv': '274625/16,0', 'label': '2.0.1028.1-2.1-a1', 'local_data': [{'p': '(2,w+1)', 'cp': 8, 'kod': 12, 'red': 1, 'normp': 2, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 8, 'ord_den_j': 8}], 'minD': '(16)', 'n_bad_primes': 1, 'ngens': 0, 'non_min_p': ['(2,w+1)'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'normdisc': 1048576, 'number': 1, 'omega': {'__RealLiteral__': 0, 'data': '15.237968506680662674305698491285247652', 'prec': 130}, 'potential_good_reduction': False, 'q_curve': True, 'rank': 0, 'rank_bounds': [0, 0], 'reducible_primes': [2], 'reg': 1, 'root_analytic_conductor': 3.407160637560593, 'semistable': True, 'sha': 4, 'short_class_label': '2.1-a', 'short_label': '2.1-a1', 'signature': [0, 1], 'tamagawa_product': 8, 'torsion_gens': ['[[21,0],[-11,-11],[1,0]]'], 'torsion_order': 2, 'torsion_primes': [2], 'torsion_structure': [2], 'trace_hash': 2291723255891049409}
71. label: 2.0.1028.1-2.1-a2
    {'Lvalue': {'__RealLiteral__': 0, 'data': '3.8020734397334215377266904449471745595', 'prec': 130}, 'abs_disc': 1028, 'ainvs': '1,1;1,0;1,1;1515,-22;-10541,252', 'analytic_rank': 0, 'bad_primes': ['(2,w+1)'], 'base_change': [], 'class_deg': 2, 'class_label': '2.0.1028.1-2.1-a', 'class_size': 2, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(2,w+1)', 'conductor_label': '2.1', 'conductor_norm': 2, 'conductor_norm_factors': [2], 'degree': 2, 'disc': '(256)', 'equation': '{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3+{x}^2+\\left(-22a+1515\\right){x}+252a-10541', 'field_label': '2.0.1028.1', 'galois_images': ['2B'], 'gens': [], 'heights': [], 'iso_label': 'a', 'iso_nlabel': 0, 'isodeg': [1, 2], 'isogeny_matrix': [[1, 2], [2, 1]], 'jinv': '1076890625/4,0', 'label': '2.0.1028.1-2.1-a2', 'local_data': [{'p': '(2,w+1)', 'cp': 4, 'kod': 8, 'red': 1, 'normp': 2, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 4, 'ord_den_j': 4}], 'minD': '(4)', 'n_bad_primes': 1, 'ngens': 0, 'non_min_p': ['(2,w+1)'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'normdisc': 65536, 'number': 2, 'omega': {'__RealLiteral__': 0, 'data': '7.6189842533403313371528492456426238260', 'prec': 130}, 'potential_good_reduction': False, 'q_curve': True, 'rank': 0, 'rank_bounds': [0, 0], 'reducible_primes': [2], 'reg': 1, 'root_analytic_conductor': 3.407160637560593, 'semistable': True, 'sha': 16, 'short_class_label': '2.1-a', 'short_label': '2.1-a2', 'signature': [0, 1], 'tamagawa_product': 4, 'torsion_gens': ['[[21,-1/2],[-301/4,-43/4],[1,0]]'], 'torsion_order': 2, 'torsion_primes': [2], 'torsion_structure': [2], 'trace_hash': 2291723255891049409}
72. label: 2.0.1028.1-2.1-b1
    {'Lvalue': {'__RealLiteral__': 0, 'data': '3.8020734397334215377266904449471745595', 'prec': 130}, 'abs_disc': 1028, 'ainvs': '1,1;1,-1;1,1;1435,20;-8861,-221', 'analytic_rank': 0, 'bad_primes': ['(2,w+1)'], 'base_change': [], 'class_deg': 2, 'class_label': '2.0.1028.1-2.1-b', 'class_size': 2, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(2,w+1)', 'conductor_label': '2.1', 'conductor_norm': 2, 'conductor_norm_factors': [2], 'degree': 2, 'disc': '(1024)', 'equation': '{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3+\\left(-a+1\\right){x}^2+\\left(20a+1435\\right){x}-221a-8861', 'field_label': '2.0.1028.1', 'galois_images': ['2B'], 'gens': [], 'heights': [], 'iso_label': 'b', 'iso_nlabel': 1, 'isodeg': [1, 2], 'isogeny_matrix': [[1, 2], [2, 1]], 'jinv': '274625/16,0', 'label': '2.0.1028.1-2.1-b1', 'local_data': [{'p': '(2,w+1)', 'cp': 8, 'kod': 12, 'red': 1, 'normp': 2, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 8, 'ord_den_j': 8}], 'minD': '(16)', 'n_bad_primes': 1, 'ngens': 0, 'non_min_p': ['(2,w+1)'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'normdisc': 1048576, 'number': 1, 'omega': {'__RealLiteral__': 0, 'data': '15.237968506680662674305698491285247652', 'prec': 130}, 'potential_good_reduction': False, 'q_curve': True, 'rank': 0, 'rank_bounds': [0, 0], 'reducible_primes': [2], 'reg': 1, 'root_analytic_conductor': 3.407160637560593, 'semistable': True, 'sha': 4, 'short_class_label': '2.1-b', 'short_label': '2.1-b1', 'signature': [0, 1], 'tamagawa_product': 8, 'torsion_gens': ['[[21,0],[-11,-11],[1,0]]'], 'torsion_order': 2, 'torsion_primes': [2], 'torsion_structure': [2], 'trace_hash': 2291723255891049409}
73. label: 2.0.1028.1-2.1-b2
    {'Lvalue': {'__RealLiteral__': 0, 'data': '3.8020734397334215377266904449471745595', 'prec': 130}, 'abs_disc': 1028, 'ainvs': '1,1;1,-1;1,1;1515,20;-10541,-253', 'analytic_rank': 0, 'bad_primes': ['(2,w+1)'], 'base_change': [], 'class_deg': 2, 'class_label': '2.0.1028.1-2.1-b', 'class_size': 2, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(2,w+1)', 'conductor_label': '2.1', 'conductor_norm': 2, 'conductor_norm_factors': [2], 'degree': 2, 'disc': '(256)', 'equation': '{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3+\\left(-a+1\\right){x}^2+\\left(20a+1515\\right){x}-253a-10541', 'field_label': '2.0.1028.1', 'galois_images': ['2B'], 'gens': [], 'heights': [], 'iso_label': 'b', 'iso_nlabel': 1, 'isodeg': [1, 2], 'isogeny_matrix': [[1, 2], [2, 1]], 'jinv': '1076890625/4,0', 'label': '2.0.1028.1-2.1-b2', 'local_data': [{'p': '(2,w+1)', 'cp': 4, 'kod': 8, 'red': 1, 'normp': 2, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 4, 'ord_den_j': 4}], 'minD': '(4)', 'n_bad_primes': 1, 'ngens': 0, 'non_min_p': ['(2,w+1)'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'normdisc': 65536, 'number': 2, 'omega': {'__RealLiteral__': 0, 'data': '7.6189842533403313371528492456426238260', 'prec': 130}, 'potential_good_reduction': False, 'q_curve': True, 'rank': 0, 'rank_bounds': [0, 0], 'reducible_primes': [2], 'reg': 1, 'root_analytic_conductor': 3.407160637560593, 'semistable': True, 'sha': 16, 'short_class_label': '2.1-b', 'short_label': '2.1-b2', 'signature': [0, 1], 'tamagawa_product': 4, 'torsion_gens': ['[[21,1/2],[213/4,-45/4],[1,0]]'], 'torsion_order': 2, 'torsion_primes': [2], 'torsion_structure': [2], 'trace_hash': 2291723255891049409}
74. label: 2.0.103.1-19.1-a1
    {'Lvalue': {'__RealLiteral__': 0, 'data': '1.7103713021467391877145859786689298108', 'prec': 130}, 'abs_disc': 103, 'ainvs': '0,1;-1,0;1,0;-11,1;115,-15', 'analytic_rank': 1, 'bad_primes': ['(19,w+3)'], 'base_change': [], 'class_deg': 11, 'class_label': '2.0.103.1-19.1-a', 'class_size': 2, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(19,w+3)', 'conductor_label': '19.1', 'conductor_norm': 19, 'conductor_norm_factors': [19], 'degree': 2, 'disc': '(5898*a-514895)', 'equation': '{y}^2+a{x}{y}+{y}={x}^3-{x}^2+\\left(a-11\\right){x}-15a+115', 'field_label': '2.0.103.1', 'galois_images': ['11B.3.1'], 'gens': ['[[-5,0],[-5,5],[1,0]]'], 'heights': [{'__RealLiteral__': 0, 'data': '0.43505576640219843434781418381387358221', 'prec': 133}], 'iso_label': 'a', 'iso_nlabel': 0, 'isodeg': [1, 11], 'isogeny_matrix': [[1, 11], [11, 1]], 'jinv': '-41614/19,23561/19', 'label': '2.0.103.1-19.1-a1', 'local_data': [{'p': '(7,w+1)', 'cp': 1, 'kod': 1, 'red': None, 'normp': 7, 'rootno': 1, 'ord_cond': 0, 'ord_disc': 0, 'ord_den_j': 0}, {'p': '(19,w+3)', 'cp': 1, 'kod': 5, 'red': -1, 'normp': 19, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 1, 'ord_den_j': 1}], 'minD': '(19,w+3)', 'n_bad_primes': 1, 'ngens': 1, 'non_min_p': ['(7,w+1)'], 'nonmax_primes': [11], 'nonmax_rad': 11, 'normdisc': 262984456819, 'number': 1, 'omega': {'__RealLiteral__': 0, 'data': '9.9747976133509315073776829746003784852', 'prec': 130}, 'potential_good_reduction': False, 'q_curve': False, 'rank': 1, 'rank_bounds': [1, 1], 'reducible_primes': [11], 'reg': {'__RealLiteral__': 0, 'data': '0.43505576640219843434781418381387358221', 'prec': 133}, 'root_analytic_conductor': 1.8934139219996589, 'semistable': True, 'sha': 1, 'short_class_label': '19.1-a', 'short_label': '19.1-a1', 'signature': [0, 1], 'tamagawa_product': 1, 'torsion_gens': [], 'torsion_order': 1, 'torsion_primes': [], 'torsion_structure': [], 'trace_hash': 1556419384504439015}
75. label: 2.0.103.1-19.1-a2
    {'Lvalue': {'__RealLiteral__': 0, 'data': '1.7103713021467391877145859786689298108', 'prec': 130}, 'abs_disc': 103, 'ainvs': '0,1;-1,0;1,0;-1151,-509;-24056,10212', 'analytic_rank': 1, 'bad_primes': ['(19,w+3)'], 'base_change': [], 'class_deg': 11, 'class_label': '2.0.103.1-19.1-a', 'class_size': 2, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(19,w+3)', 'conductor_label': '19.1', 'conductor_norm': 19, 'conductor_norm_factors': [19], 'degree': 2, 'disc': '(166637206338*a-1030604303063)', 'equation': '{y}^2+a{x}{y}+{y}={x}^3-{x}^2+\\left(-509a-1151\\right){x}+10212a-24056', 'field_label': '2.0.103.1', 'galois_images': ['11B.3.1'], 'gens': ['[[74/9,119/9],[1856/3,-2654/27],[1,0]]'], 'heights': [{'__RealLiteral__': 0, 'data': '4.7856134304241827778259560219526094044', 'prec': 130}], 'iso_label': 'a', 'iso_nlabel': 0, 'isodeg': [1, 11], 'isogeny_matrix': [[1, 11], [11, 1]], 'jinv': '164688447828986882/116490258898219,35944352441652689/116490258898219', 'label': '2.0.103.1-19.1-a2', 'local_data': [{'p': '(7,w+1)', 'cp': 1, 'kod': 1, 'red': None, 'normp': 7, 'rootno': 1, 'ord_cond': 0, 'ord_disc': 0, 'ord_den_j': 0}, {'p': '(19,w+3)', 'cp': 1, 'kod': 15, 'red': -1, 'normp': 19, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 11, 'ord_den_j': 11}], 'minD': '(116490258898219,w+66551043132220)', 'n_bad_primes': 1, 'ngens': 1, 'non_min_p': ['(7,w+1)'], 'nonmax_primes': [11], 'nonmax_rad': 11, 'normdisc': 1612375129529095006395019, 'number': 2, 'omega': {'__RealLiteral__': 0, 'data': '0.90679978303190286430706208860003440774', 'prec': 133}, 'potential_good_reduction': False, 'q_curve': False, 'rank': 1, 'rank_bounds': [1, 1], 'reducible_primes': [11], 'reg': {'__RealLiteral__': 0, 'data': '4.7856134304241827778259560219526094044', 'prec': 130}, 'root_analytic_conductor': 1.8934139219996589, 'semistable': True, 'sha': 1, 'short_class_label': '19.1-a', 'short_label': '19.1-a2', 'signature': [0, 1], 'tamagawa_product': 1, 'torsion_gens': [], 'torsion_order': 1, 'torsion_primes': [], 'torsion_structure': [], 'trace_hash': 1556419384504439015}
76. label: 2.0.103.1-19.2-a1
    {'Lvalue': {'__RealLiteral__': 0, 'data': '1.7103713021467391877145859786689298108', 'prec': 130}, 'abs_disc': 103, 'ainvs': '1,1;-1,-1;1,0;-10,-2;100,15', 'analytic_rank': 1, 'bad_primes': ['(19,w+15)'], 'base_change': [], 'class_deg': 11, 'class_label': '2.0.103.1-19.2-a', 'class_size': 2, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(19,w+15)', 'conductor_label': '19.2', 'conductor_norm': 19, 'conductor_norm_factors': [19], 'degree': 2, 'disc': '(-5898*a-508997)', 'equation': '{y}^2+\\left(a+1\\right){x}{y}+{y}={x}^3+\\left(-a-1\\right){x}^2+\\left(-2a-10\\right){x}+15a+100', 'field_label': '2.0.103.1', 'galois_images': ['11B.3.1'], 'gens': ['[[-5,0],[4,5],[1,0]]'], 'heights': [{'__RealLiteral__': 0, 'data': '0.43505576640219843434781418381387358221', 'prec': 133}], 'iso_label': 'a', 'iso_nlabel': 0, 'isodeg': [1, 11], 'isogeny_matrix': [[1, 11], [11, 1]], 'jinv': '-18053/19,-23561/19', 'label': '2.0.103.1-19.2-a1', 'local_data': [{'p': '(7,w+5)', 'cp': 1, 'kod': 1, 'red': None, 'normp': 7, 'rootno': 1, 'ord_cond': 0, 'ord_disc': 0, 'ord_den_j': 0}, {'p': '(19,w+15)', 'cp': 1, 'kod': 5, 'red': -1, 'normp': 19, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 1, 'ord_den_j': 1}], 'minD': '(19,w+15)', 'n_bad_primes': 1, 'ngens': 1, 'non_min_p': ['(7,w+5)'], 'nonmax_primes': [11], 'nonmax_rad': 11, 'normdisc': 262984456819, 'number': 1, 'omega': {'__RealLiteral__': 0, 'data': '9.9747976133509315073776829746003784852', 'prec': 130}, 'potential_good_reduction': False, 'q_curve': False, 'rank': 1, 'rank_bounds': [1, 1], 'reducible_primes': [11], 'reg': {'__RealLiteral__': 0, 'data': '0.43505576640219843434781418381387358221', 'prec': 133}, 'root_analytic_conductor': 1.8934139219996589, 'semistable': True, 'sha': 1, 'short_class_label': '19.2-a', 'short_label': '19.2-a1', 'signature': [0, 1], 'tamagawa_product': 1, 'torsion_gens': [], 'torsion_order': 1, 'torsion_primes': [], 'torsion_structure': [], 'trace_hash': 1556419384504439015}
77. label: 2.0.103.1-19.2-a2
    {'Lvalue': {'__RealLiteral__': 0, 'data': '1.7103713021467391877145859786689298108', 'prec': 130}, 'abs_disc': 103, 'ainvs': '1,1;-1,-1;1,0;-1660,508;-13844,-10212', 'analytic_rank': 1, 'bad_primes': ['(19,w+15)'], 'base_change': [], 'class_deg': 11, 'class_label': '2.0.103.1-19.2-a', 'class_size': 2, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(19,w+15)', 'conductor_label': '19.2', 'conductor_norm': 19, 'conductor_norm_factors': [19], 'degree': 2, 'disc': '(-166637206338*a-863967096725)', 'equation': '{y}^2+\\left(a+1\\right){x}{y}+{y}={x}^3+\\left(-a-1\\right){x}^2+\\left(508a-1660\\right){x}-10212a-13844', 'field_label': '2.0.103.1', 'galois_images': ['11B.3.1'], 'gens': ['[[193/9,-119/9],[-14656/27,-2297/27],[1,0]]'], 'heights': [{'__RealLiteral__': 0, 'data': '4.7856134304241827778259560219526094044', 'prec': 130}], 'iso_label': 'a', 'iso_nlabel': 0, 'isodeg': [1, 11], 'isogeny_matrix': [[1, 11], [11, 1]], 'jinv': '200632800270639571/116490258898219,-35944352441652689/116490258898219', 'label': '2.0.103.1-19.2-a2', 'local_data': [{'p': '(7,w+5)', 'cp': 1, 'kod': 1, 'red': None, 'normp': 7, 'rootno': 1, 'ord_cond': 0, 'ord_disc': 0, 'ord_den_j': 0}, {'p': '(19,w+15)', 'cp': 1, 'kod': 15, 'red': -1, 'normp': 19, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 11, 'ord_den_j': 11}], 'minD': '(116490258898219,w+49939215765998)', 'n_bad_primes': 1, 'ngens': 1, 'non_min_p': ['(7,w+5)'], 'nonmax_primes': [11], 'nonmax_rad': 11, 'normdisc': 1612375129529095006395019, 'number': 2, 'omega': {'__RealLiteral__': 0, 'data': '0.90679978303190286430706208860003440774', 'prec': 133}, 'potential_good_reduction': False, 'q_curve': False, 'rank': 1, 'rank_bounds': [1, 1], 'reducible_primes': [11], 'reg': {'__RealLiteral__': 0, 'data': '4.7856134304241827778259560219526094044', 'prec': 130}, 'root_analytic_conductor': 1.8934139219996589, 'semistable': True, 'sha': 1, 'short_class_label': '19.2-a', 'short_label': '19.2-a2', 'signature': [0, 1], 'tamagawa_product': 1, 'torsion_gens': [], 'torsion_order': 1, 'torsion_primes': [], 'torsion_structure': [], 'trace_hash': 1556419384504439015}
78. label: 2.0.103.1-26.2-a1
    {'Lvalue': {'__RealLiteral__': 0, 'data': '2.8549566116967188873656520414206383730', 'prec': 130}, 'abs_disc': 103, 'ainvs': '0,1;-1,0;0,0;-4683,572;-94994,20808', 'analytic_rank': 1, 'bad_primes': ['(2,w)', '(13,w+12)'], 'base_change': [], 'class_deg': 11, 'class_label': '2.0.103.1-26.2-a', 'class_size': 2, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(26,w+12)', 'conductor_label': '26.2', 'conductor_norm': 26, 'conductor_norm_factors': [2, 13], 'degree': 2, 'disc': '(3524653551*a+172791917438)', 'equation': '{y}^2+a{x}{y}={x}^3-{x}^2+\\left(572a-4683\\right){x}+20808a-94994', 'field_label': '2.0.103.1', 'galois_images': ['11B.3.1'], 'gens': [], 'heights': [], 'iso_label': 'a', 'iso_nlabel': 0, 'isodeg': [1, 11], 'isogeny_matrix': [[1, 11], [11, 1]], 'jinv': '-9737343035003151642119/578220423796228096,-132616454422760739622487/7516865509350965248', 'label': '2.0.103.1-26.2-a1', 'local_data': [{'p': '(2,w)', 'cp': 2, 'kod': 26, 'red': -1, 'normp': 2, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 22, 'ord_den_j': 22}, {'p': '(13,w+12)', 'cp': 1, 'kod': 15, 'red': -1, 'normp': 13, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 11, 'ord_den_j': 11}], 'minD': '(7516865509350965248,w+2392347552765055586)', 'n_bad_primes': 2, 'ngens': 0, 'non_min_p': ['(2,w)'], 'nonmax_primes': [11], 'nonmax_rad': 11, 'normdisc': 30789081126301553655808, 'number': 1, 'omega': {'__RealLiteral__': 0, 'data': '0.28537451121642883059284960610257566652', 'prec': 133}, 'potential_good_reduction': False, 'q_curve': False, 'rank_bounds': [0, 1], 'reducible_primes': [11], 'reg': 1, 'root_analytic_conductor': 2.047861130098864, 'semistable': True, 'short_class_label': '26.2-a', 'short_label': '26.2-a1', 'signature': [0, 1], 'tamagawa_product': 2, 'torsion_gens': [], 'torsion_order': 1, 'torsion_primes': [], 'torsion_structure': [], 'trace_hash': 727920771337551440}
79. label: 2.0.103.1-26.2-a2
    {'Lvalue': {'__RealLiteral__': 0, 'data': '2.8549566116967188873656520414206383730', 'prec': 130}, 'abs_disc': 103, 'ainvs': '0,1;-1,0;0,0;147,-13;28,135', 'analytic_rank': 1, 'bad_primes': ['(2,w)', '(13,w+12)'], 'base_change': [], 'class_deg': 11, 'class_label': '2.0.103.1-26.2-a', 'class_size': 2, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(26,w+12)', 'conductor_label': '26.2', 'conductor_norm': 26, 'conductor_norm_factors': [2, 13], 'degree': 2, 'disc': '(87*a-178)', 'equation': '{y}^2+a{x}{y}={x}^3-{x}^2+\\left(-13a+147\\right){x}+135a+28', 'field_label': '2.0.103.1', 'galois_images': ['11B.3.1'], 'gens': [], 'heights': [], 'iso_label': 'a', 'iso_nlabel': 0, 'isodeg': [1, 11], 'isogeny_matrix': [[1, 11], [11, 1]], 'jinv': '2457468601/4,-513533219/52', 'label': '2.0.103.1-26.2-a2', 'local_data': [{'p': '(2,w)', 'cp': 2, 'kod': 6, 'red': -1, 'normp': 2, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 2, 'ord_den_j': 2}, {'p': '(13,w+12)', 'cp': 1, 'kod': 5, 'red': -1, 'normp': 13, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 1, 'ord_den_j': 1}], 'minD': '(52,w+38)', 'n_bad_primes': 2, 'ngens': 0, 'non_min_p': ['(2,w)'], 'nonmax_primes': [11], 'nonmax_rad': 11, 'normdisc': 212992, 'number': 2, 'omega': {'__RealLiteral__': 0, 'data': '3.1391196233807171365213456671283323317', 'prec': 130}, 'potential_good_reduction': False, 'q_curve': False, 'rank_bounds': [0, 1], 'reducible_primes': [11], 'reg': 1, 'root_analytic_conductor': 2.047861130098864, 'semistable': True, 'short_class_label': '26.2-a', 'short_label': '26.2-a2', 'signature': [0, 1], 'tamagawa_product': 2, 'torsion_gens': [], 'torsion_order': 1, 'torsion_primes': [], 'torsion_structure': [], 'trace_hash': 727920771337551440}
80. label: 2.0.103.1-26.3-a1
    {'Lvalue': {'__RealLiteral__': 0, 'data': '2.8549566116967188873656520414206383730', 'prec': 130}, 'abs_disc': 103, 'ainvs': '1,1;-1,-1;0,0;-4111,-572;-74186,-20808', 'analytic_rank': 1, 'bad_primes': ['(2,w+1)', '(13,w)'], 'base_change': [], 'class_deg': 11, 'class_label': '2.0.103.1-26.3-a', 'class_size': 2, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(26,w+13)', 'conductor_label': '26.3', 'conductor_norm': 26, 'conductor_norm_factors': [2, 13], 'degree': 2, 'disc': '(-3524653551*a+176316570989)', 'equation': '{y}^2+\\left(a+1\\right){x}{y}={x}^3+\\left(-a-1\\right){x}^2+\\left(-572a-4111\\right){x}-20808a-74186', 'field_label': '2.0.103.1', 'galois_images': ['11B.3.1'], 'gens': [], 'heights': [], 'iso_label': 'a', 'iso_nlabel': 0, 'isodeg': [1, 11], 'isogeny_matrix': [[1, 11], [11, 1]], 'jinv': '-129600956938900855485017/3758432754675482624,132616454422760739622487/7516865509350965248', 'label': '2.0.103.1-26.3-a1', 'local_data': [{'p': '(2,w+1)', 'cp': 2, 'kod': 26, 'red': -1, 'normp': 2, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 22, 'ord_den_j': 22}, {'p': '(13,w)', 'cp': 1, 'kod': 15, 'red': -1, 'normp': 13, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 11, 'ord_den_j': 11}], 'minD': '(7516865509350965248,w+5124517956585909661)', 'n_bad_primes': 2, 'ngens': 0, 'non_min_p': ['(2,w+1)'], 'nonmax_primes': [11], 'nonmax_rad': 11, 'normdisc': 30789081126301553655808, 'number': 1, 'omega': {'__RealLiteral__': 0, 'data': '0.28537451121642883059284960610257566652', 'prec': 133}, 'potential_good_reduction': False, 'q_curve': False, 'rank_bounds': [0, 1], 'reducible_primes': [11], 'reg': 1, 'root_analytic_conductor': 2.047861130098864, 'semistable': True, 'short_class_label': '26.3-a', 'short_label': '26.3-a1', 'signature': [0, 1], 'tamagawa_product': 2, 'torsion_gens': [], 'torsion_order': 1, 'torsion_primes': [], 'torsion_structure': [], 'trace_hash': 727920771337551440}
81. label: 2.0.103.1-26.3-a2
    {'Lvalue': {'__RealLiteral__': 0, 'data': '2.8549566116967188873656520414206383730', 'prec': 130}, 'abs_disc': 103, 'ainvs': '1,1;-1,-1;0,0;134,13;163,-135', 'analytic_rank': 1, 'bad_primes': ['(2,w+1)', '(13,w)'], 'base_change': [], 'class_deg': 11, 'class_label': '2.0.103.1-26.3-a', 'class_size': 2, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(26,w+13)', 'conductor_label': '26.3', 'conductor_norm': 26, 'conductor_norm_factors': [2, 13], 'degree': 2, 'disc': '(-87*a-91)', 'equation': '{y}^2+\\left(a+1\\right){x}{y}={x}^3+\\left(-a-1\\right){x}^2+\\left(13a+134\\right){x}-135a+163', 'field_label': '2.0.103.1', 'galois_images': ['11B.3.1'], 'gens': [], 'heights': [], 'iso_label': 'a', 'iso_nlabel': 0, 'isodeg': [1, 11], 'isogeny_matrix': [[1, 11], [11, 1]], 'jinv': '15716779297/26,513533219/52', 'label': '2.0.103.1-26.3-a2', 'local_data': [{'p': '(2,w+1)', 'cp': 2, 'kod': 6, 'red': -1, 'normp': 2, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 2, 'ord_den_j': 2}, {'p': '(13,w)', 'cp': 1, 'kod': 5, 'red': -1, 'normp': 13, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 1, 'ord_den_j': 1}], 'minD': '(52,w+13)', 'n_bad_primes': 2, 'ngens': 0, 'non_min_p': ['(2,w+1)'], 'nonmax_primes': [11], 'nonmax_rad': 11, 'normdisc': 212992, 'number': 2, 'omega': {'__RealLiteral__': 0, 'data': '3.1391196233807171365213456671283323317', 'prec': 130}, 'potential_good_reduction': False, 'q_curve': False, 'rank_bounds': [0, 1], 'reducible_primes': [11], 'reg': 1, 'root_analytic_conductor': 2.047861130098864, 'semistable': True, 'short_class_label': '26.3-a', 'short_label': '26.3-a2', 'signature': [0, 1], 'tamagawa_product': 2, 'torsion_gens': [], 'torsion_order': 1, 'torsion_primes': [], 'torsion_structure': [], 'trace_hash': 727920771337551440}
82. label: 2.0.103.1-52.2-a1
    {'Lvalue': {'__RealLiteral__': 0, 'data': '4.2063617316712767740334351707771239136', 'prec': 130}, 'abs_disc': 103, 'ainvs': '0,1;0,1;0,0;0,-2;58,17', 'analytic_rank': 0, 'bad_primes': ['(2,w)', '(13,w+12)'], 'base_change': [], 'class_deg': 1, 'class_label': '2.0.103.1-52.2-a', 'class_size': 1, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(52,w+38)', 'conductor_label': '52.2', 'conductor_norm': 52, 'conductor_norm_factors': [2, 13], 'degree': 2, 'disc': '(-1308641*a+2056414)', 'equation': '{y}^2+a{x}{y}={x}^3+a{x}^2-2a{x}+17a+58', 'field_label': '2.0.103.1', 'galois_images': [], 'gens': [], 'heights': [], 'iso_label': 'a', 'iso_nlabel': 0, 'isodeg': [1], 'isogeny_matrix': [[1]], 'jinv': '-50,51/13', 'label': '2.0.103.1-52.2-a1', 'local_data': [{'p': '(2,w)', 'cp': 3, 'kod': -4, 'red': 0, 'normp': 2, 'rootno': -1, 'ord_cond': 2, 'ord_disc': 8, 'ord_den_j': 0}, {'p': '(7,w+5)', 'cp': 1, 'kod': 1, 'red': None, 'normp': 7, 'rootno': 1, 'ord_cond': 0, 'ord_disc': 0, 'ord_den_j': 0}, {'p': '(13,w+12)', 'cp': 1, 'kod': 5, 'red': -1, 'normp': 13, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 1, 'ord_den_j': 1}], 'minD': '(3328,w+610)', 'n_bad_primes': 2, 'ngens': 0, 'non_min_p': ['(7,w+5)'], 'nonmax_primes': [], 'nonmax_rad': 1, 'normdisc': 46063803804928, 'number': 1, 'omega': {'__RealLiteral__': 0, 'data': '7.1149848497142204414344225563611956552', 'prec': 130}, 'potential_good_reduction': False, 'q_curve': False, 'rank': 0, 'rank_bounds': [0, 0], 'reducible_primes': [], 'reg': 1, 'root_analytic_conductor': 2.435331026451082, 'semistable': False, 'sha': 1, 'short_class_label': '52.2-a', 'short_label': '52.2-a1', 'signature': [0, 1], 'tamagawa_product': 3, 'torsion_gens': [], 'torsion_order': 1, 'torsion_primes': [], 'torsion_structure': [], 'trace_hash': 1986902871383893715}
83. label: 2.0.103.1-52.3-a1
    {'Lvalue': {'__RealLiteral__': 0, 'data': '1.7446920931099616598622827636624425191', 'prec': 130}, 'abs_disc': 103, 'ainvs': '1,0;1,1;0,1;-13,0;13,-3', 'analytic_rank': 1, 'bad_primes': ['(2,w)', '(2,w+1)', '(13,w)'], 'base_change': [], 'class_deg': 1, 'class_label': '2.0.103.1-52.3-a', 'class_size': 1, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(26,2*w)', 'conductor_label': '52.3', 'conductor_norm': 52, 'conductor_norm_factors': [2, 13], 'degree': 2, 'disc': '(3072*a-26624)', 'equation': '{y}^2+{x}{y}+a{y}={x}^3+\\left(a+1\\right){x}^2-13{x}-3a+13', 'field_label': '2.0.103.1', 'galois_images': [], 'gens': ['[[1,0],[-2,0],[1,0]]'], 'heights': [{'__RealLiteral__': 0, 'data': '0.44695234062441996167246958655909998429', 'prec': 133}], 'iso_label': 'a', 'iso_nlabel': 0, 'isodeg': [1], 'isogeny_matrix': [[1]], 'jinv': '555143521/851968,-112377899/851968', 'label': '2.0.103.1-52.3-a1', 'local_data': [{'p': '(2,w)', 'cp': 2, 'kod': 20, 'red': -1, 'normp': 2, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 16, 'ord_den_j': 16}, {'p': '(2,w+1)', 'cp': 2, 'kod': 14, 'red': -1, 'normp': 2, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 10, 'ord_den_j': 10}, {'p': '(13,w)', 'cp': 1, 'kod': 5, 'red': -1, 'normp': 13, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 1, 'ord_den_j': 1}], 'minD': '(3072*w-26624)', 'n_bad_primes': 3, 'ngens': 1, 'non_min_p': [], 'nonmax_primes': [], 'nonmax_rad': 1, 'normdisc': 872415232, 'number': 1, 'omega': {'__RealLiteral__': 0, 'data': '2.4760317345454328576281693791553429143', 'prec': 130}, 'potential_good_reduction': False, 'q_curve': False, 'rank': 1, 'rank_bounds': [1, 1], 'reducible_primes': [], 'reg': {'__RealLiteral__': 0, 'data': '0.44695234062441996167246958655909998429', 'prec': 133}, 'root_analytic_conductor': 2.435331026451082, 'semistable': True, 'sha': 1, 'short_class_label': '52.3-a', 'short_label': '52.3-a1', 'signature': [0, 1], 'tamagawa_product': 4, 'torsion_gens': [], 'torsion_order': 1, 'torsion_primes': [], 'torsion_structure': [], 'trace_hash': 56736917031597122}
84. label: 2.0.103.1-52.4-a1
    {'Lvalue': {'__RealLiteral__': 0, 'data': '1.7446920931099616598622827636624425191', 'prec': 130}, 'abs_disc': 103, 'ainvs': '1,0;-1,-1;0,1;-14,1;24,2', 'analytic_rank': 1, 'bad_primes': ['(2,w)', '(2,w+1)', '(13,w+12)'], 'base_change': [], 'class_deg': 1, 'class_label': '2.0.103.1-52.4-a', 'class_size': 1, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(26,2*w+24)', 'conductor_label': '52.4', 'conductor_norm': 52, 'conductor_norm_factors': [2, 13], 'degree': 2, 'disc': '(-3072*a-23552)', 'equation': '{y}^2+{x}{y}+a{y}={x}^3+\\left(-a-1\\right){x}^2+\\left(a-14\\right){x}+2a+24', 'field_label': '2.0.103.1', 'galois_images': [], 'gens': ['[[2,0],[-2,-1],[1,0]]'], 'heights': [{'__RealLiteral__': 0, 'data': '0.44695234062441996167246958655909998429', 'prec': 133}], 'iso_label': 'a', 'iso_nlabel': 0, 'isodeg': [1], 'isogeny_matrix': [[1]], 'jinv': '17029447/32768,112377899/851968', 'label': '2.0.103.1-52.4-a1', 'local_data': [{'p': '(2,w)', 'cp': 2, 'kod': 14, 'red': -1, 'normp': 2, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 10, 'ord_den_j': 10}, {'p': '(2,w+1)', 'cp': 2, 'kod': 20, 'red': -1, 'normp': 2, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 16, 'ord_den_j': 16}, {'p': '(13,w+12)', 'cp': 1, 'kod': 5, 'red': -1, 'normp': 13, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 1, 'ord_den_j': 1}], 'minD': '(-3072*w-23552)', 'n_bad_primes': 3, 'ngens': 1, 'non_min_p': [], 'nonmax_primes': [], 'nonmax_rad': 1, 'normdisc': 872415232, 'number': 1, 'omega': {'__RealLiteral__': 0, 'data': '2.4760317345454328576281693791553429143', 'prec': 130}, 'potential_good_reduction': False, 'q_curve': False, 'rank': 1, 'rank_bounds': [1, 1], 'reducible_primes': [], 'reg': {'__RealLiteral__': 0, 'data': '0.44695234062441996167246958655909998429', 'prec': 133}, 'root_analytic_conductor': 2.435331026451082, 'semistable': True, 'sha': 1, 'short_class_label': '52.4-a', 'short_label': '52.4-a1', 'signature': [0, 1], 'tamagawa_product': 4, 'torsion_gens': [], 'torsion_order': 1, 'torsion_primes': [], 'torsion_structure': [], 'trace_hash': 56736917031597122}
85. label: 2.0.103.1-52.5-a1
    {'Lvalue': {'__RealLiteral__': 0, 'data': '4.2063617316712767740334351707771239136', 'prec': 130}, 'abs_disc': 103, 'ainvs': '1,1;1,1;0,0;-15,-8;166,-16', 'analytic_rank': 0, 'bad_primes': ['(2,w+1)', '(13,w)'], 'base_change': [], 'class_deg': 1, 'class_label': '2.0.103.1-52.5-a', 'class_size': 1, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(52,w+13)', 'conductor_label': '52.5', 'conductor_norm': 52, 'conductor_norm_factors': [2, 13], 'degree': 2, 'disc': '(1308641*a+747773)', 'equation': '{y}^2+\\left(a+1\\right){x}{y}={x}^3+\\left(a+1\\right){x}^2+\\left(-8a-15\\right){x}-16a+166', 'field_label': '2.0.103.1', 'galois_images': [], 'gens': [], 'heights': [], 'iso_label': 'a', 'iso_nlabel': 0, 'isodeg': [1], 'isogeny_matrix': [[1]], 'jinv': '-599/13,-51/13', 'label': '2.0.103.1-52.5-a1', 'local_data': [{'p': '(2,w+1)', 'cp': 3, 'kod': -4, 'red': 0, 'normp': 2, 'rootno': -1, 'ord_cond': 2, 'ord_disc': 8, 'ord_den_j': 0}, {'p': '(7,w+1)', 'cp': 1, 'kod': 1, 'red': None, 'normp': 7, 'rootno': 1, 'ord_cond': 0, 'ord_disc': 0, 'ord_den_j': 0}, {'p': '(13,w)', 'cp': 1, 'kod': 5, 'red': -1, 'normp': 13, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 1, 'ord_den_j': 1}], 'minD': '(3328,w+2717)', 'n_bad_primes': 2, 'ngens': 0, 'non_min_p': ['(7,w+1)'], 'nonmax_primes': [], 'nonmax_rad': 1, 'normdisc': 46063803804928, 'number': 1, 'omega': {'__RealLiteral__': 0, 'data': '7.1149848497142204414344225563611956552', 'prec': 130}, 'potential_good_reduction': False, 'q_curve': False, 'rank': 0, 'rank_bounds': [0, 0], 'reducible_primes': [], 'reg': 1, 'root_analytic_conductor': 2.435331026451082, 'semistable': False, 'sha': 1, 'short_class_label': '52.5-a', 'short_label': '52.5-a1', 'signature': [0, 1], 'tamagawa_product': 3, 'torsion_gens': [], 'torsion_order': 1, 'torsion_primes': [], 'torsion_structure': [], 'trace_hash': 1986902871383893715}
86. label: 2.0.103.1-56.3-a1
    {'Lvalue': {'__RealLiteral__': 0, 'data': '3.1638166570534615952382243328917680349', 'prec': 130}, 'abs_disc': 103, 'ainvs': '0,1;1,-1;0,1;-56,-1;-152,16', 'analytic_rank': 1, 'bad_primes': ['(2,w)', '(2,w+1)', '(7,w+1)'], 'base_change': [], 'class_deg': 3, 'class_label': '2.0.103.1-56.3-a', 'class_size': 2, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(28,2*w+16)', 'conductor_label': '56.3', 'conductor_norm': 56, 'conductor_norm_factors': [2, 7], 'degree': 2, 'disc': '(2053744*a-10504144)', 'equation': '{y}^2+a{x}{y}+a{y}={x}^3+\\left(-a+1\\right){x}^2+\\left(-a-56\\right){x}+16a-152', 'field_label': '2.0.103.1', 'galois_images': ['3B.1.2'], 'gens': ['[[-17888/3721,-114/3721],[120508/226981,90726/226981],[1,0]]'], 'heights': [{'__RealLiteral__': 0, 'data': '4.0804261433487030282782967615958174440', 'prec': 130}], 'iso_label': 'a', 'iso_nlabel': 0, 'isodeg': [1, 3], 'isogeny_matrix': [[1, 3], [3, 1]], 'jinv': '62985/448,-654247/896', 'label': '2.0.103.1-56.3-a1', 'local_data': [{'p': '(2,w)', 'cp': 3, 'kod': 4, 'red': 0, 'normp': 2, 'rootno': -1, 'ord_cond': 2, 'ord_disc': 4, 'ord_den_j': 0}, {'p': '(2,w+1)', 'cp': 1, 'kod': 11, 'red': -1, 'normp': 2, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 7, 'ord_den_j': 7}, {'p': '(7,w+1)', 'cp': 1, 'kod': 5, 'red': 1, 'normp': 7, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 1, 'ord_den_j': 1}, {'p': '(7,w+5)', 'cp': 1, 'kod': 1, 'red': None, 'normp': 7, 'rootno': 1, 'ord_cond': 0, 'ord_disc': 0, 'ord_den_j': 0}], 'minD': '(896,16*w+464)', 'n_bad_primes': 3, 'ngens': 1, 'non_min_p': ['(7,w+5)'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'normdisc': 198428693313536, 'number': 1, 'omega': {'__RealLiteral__': 0, 'data': '5.9018159604373272009959572077114726607', 'prec': 130}, 'potential_good_reduction': False, 'q_curve': False, 'rank': 1, 'rank_bounds': [1, 1], 'reducible_primes': [3], 'reg': {'__RealLiteral__': 0, 'data': '4.0804261433487030282782967615958174440', 'prec': 130}, 'root_analytic_conductor': 2.4808709436671084, 'semistable': False, 'sha': 1, 'short_class_label': '56.3-a', 'short_label': '56.3-a1', 'signature': [0, 1], 'tamagawa_product': 3, 'torsion_gens': ['[[0,0],[-2,-3],[1,0]]'], 'torsion_order': 3, 'torsion_primes': [3], 'torsion_structure': [3], 'trace_hash': 2203498928308840100}
87. label: 2.0.103.1-56.3-a2
    {'Lvalue': {'__RealLiteral__': 0, 'data': '3.1638166570534615952382243328917680349', 'prec': 130}, 'abs_disc': 103, 'ainvs': '0,1;1,-1;0,1;634,4;1328,-878', 'analytic_rank': 1, 'bad_primes': ['(2,w)', '(2,w+1)', '(7,w+1)'], 'base_change': [], 'class_deg': 3, 'class_label': '2.0.103.1-56.3-a', 'class_size': 2, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(28,2*w+16)', 'conductor_label': '56.3', 'conductor_norm': 56, 'conductor_norm_factors': [2, 7], 'degree': 2, 'disc': '(1175227760*a-11711320656)', 'equation': '{y}^2+a{x}{y}+a{y}={x}^3+\\left(-a+1\\right){x}^2+\\left(4a+634\\right){x}-878a+1328', 'field_label': '2.0.103.1', 'galois_images': ['3B.1.2'], 'gens': ['[[-1/4,11/4],[-85/8,-49/8],[1,0]]'], 'heights': [{'__RealLiteral__': 0, 'data': '1.3601420477829010094260989205319391480', 'prec': 130}], 'iso_label': 'a', 'iso_nlabel': 0, 'isodeg': [1, 3], 'isogeny_matrix': [[1, 3], [3, 1]], 'jinv': '600393076561/359661568,147393421345/719323136', 'label': '2.0.103.1-56.3-a2', 'local_data': [{'p': '(2,w)', 'cp': 1, 'kod': 4, 'red': 0, 'normp': 2, 'rootno': -1, 'ord_cond': 2, 'ord_disc': 4, 'ord_den_j': 0}, {'p': '(2,w+1)', 'cp': 1, 'kod': 25, 'red': -1, 'normp': 2, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 21, 'ord_den_j': 21}, {'p': '(7,w+1)', 'cp': 3, 'kod': 7, 'red': 1, 'normp': 7, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 3, 'ord_den_j': 3}, {'p': '(7,w+5)', 'cp': 1, 'kod': 1, 'red': None, 'normp': 7, 'rootno': 1, 'ord_cond': 0, 'ord_disc': 0, 'ord_den_j': 0}], 'minD': '(719323136,16*w+677304784)', 'n_bad_primes': 3, 'ngens': 1, 'non_min_p': ['(7,w+5)'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'normdisc': 159301729851199717376, 'number': 2, 'omega': {'__RealLiteral__': 0, 'data': '1.9672719868124424003319857359038242202', 'prec': 130}, 'potential_good_reduction': False, 'q_curve': False, 'rank': 1, 'rank_bounds': [1, 1], 'reducible_primes': [3], 'reg': {'__RealLiteral__': 0, 'data': '1.3601420477829010094260989205319391480', 'prec': 130}, 'root_analytic_conductor': 2.4808709436671084, 'semistable': False, 'sha': 1, 'short_class_label': '56.3-a', 'short_label': '56.3-a2', 'signature': [0, 1], 'tamagawa_product': 3, 'torsion_gens': [], 'torsion_order': 1, 'torsion_primes': [], 'torsion_structure': [], 'trace_hash': 2203498928308840100}
88. label: 2.0.103.1-56.6-a1
    {'Lvalue': {'__RealLiteral__': 0, 'data': '3.1638166570534615952382243328917680349', 'prec': 130}, 'abs_disc': 103, 'ainvs': '1,1;0,0;1,1;-57,-1;-136,-17', 'analytic_rank': 1, 'bad_primes': ['(2,w)', '(2,w+1)', '(7,w+5)'], 'base_change': [], 'class_deg': 3, 'class_label': '2.0.103.1-56.6-a', 'class_size': 2, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(28,2*w+10)', 'conductor_label': '56.6', 'conductor_norm': 56, 'conductor_norm_factors': [2, 7], 'degree': 2, 'disc': '(-2053744*a-8450400)', 'equation': '{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3+\\left(-a-57\\right){x}-17a-136', 'field_label': '2.0.103.1', 'galois_images': ['3B.1.2'], 'gens': ['[[-139/26,-1395/676],[14637/676,53613/17576],[1,0]]'], 'heights': [{'__RealLiteral__': 0, 'data': '4.0804261433487030282782967615958174440', 'prec': 130}], 'iso_label': 'a', 'iso_nlabel': 0, 'isodeg': [1, 3], 'isogeny_matrix': [[1, 3], [3, 1]], 'jinv': '-528277/896,654247/896', 'label': '2.0.103.1-56.6-a1', 'local_data': [{'p': '(2,w)', 'cp': 1, 'kod': 11, 'red': -1, 'normp': 2, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 7, 'ord_den_j': 7}, {'p': '(2,w+1)', 'cp': 3, 'kod': 4, 'red': 0, 'normp': 2, 'rootno': -1, 'ord_cond': 2, 'ord_disc': 4, 'ord_den_j': 0}, {'p': '(7,w+1)', 'cp': 1, 'kod': 1, 'red': None, 'normp': 7, 'rootno': 1, 'ord_cond': 0, 'ord_disc': 0, 'ord_den_j': 0}, {'p': '(7,w+5)', 'cp': 1, 'kod': 5, 'red': 1, 'normp': 7, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 1, 'ord_den_j': 1}], 'minD': '(896,16*w+416)', 'n_bad_primes': 3, 'ngens': 1, 'non_min_p': ['(7,w+1)'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'normdisc': 198428693313536, 'number': 1, 'omega': {'__RealLiteral__': 0, 'data': '5.9018159604373272009959572077114726607', 'prec': 130}, 'potential_good_reduction': False, 'q_curve': False, 'rank': 1, 'rank_bounds': [1, 1], 'reducible_primes': [3], 'reg': {'__RealLiteral__': 0, 'data': '4.0804261433487030282782967615958174440', 'prec': 130}, 'root_analytic_conductor': 2.4808709436671084, 'semistable': False, 'sha': 1, 'short_class_label': '56.6-a', 'short_label': '56.6-a1', 'signature': [0, 1], 'tamagawa_product': 3, 'torsion_gens': ['[[0,0],[-5,2],[1,0]]'], 'torsion_order': 3, 'torsion_primes': [3], 'torsion_structure': [3], 'trace_hash': 2203498928308840100}
89. label: 2.0.103.1-56.6-a2
    {'Lvalue': {'__RealLiteral__': 0, 'data': '3.1638166570534615952382243328917680349', 'prec': 130}, 'abs_disc': 103, 'ainvs': '1,1;0,0;1,1;638,-6;450,877', 'analytic_rank': 1, 'bad_primes': ['(2,w)', '(2,w+1)', '(7,w+5)'], 'base_change': [], 'class_deg': 3, 'class_label': '2.0.103.1-56.6-a', 'class_size': 2, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(28,2*w+10)', 'conductor_label': '56.6', 'conductor_norm': 56, 'conductor_norm_factors': [2, 7], 'degree': 2, 'disc': '(-1175227760*a-10536092896)', 'equation': '{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3+\\left(-6a+638\\right){x}+877a+450', 'field_label': '2.0.103.1', 'galois_images': ['3B.1.2'], 'gens': ['[[5/2,-11/4],[-353/4,43/8],[1,0]]'], 'heights': [{'__RealLiteral__': 0, 'data': '1.3601420477829010094260989205319391480', 'prec': 130}], 'iso_label': 'a', 'iso_nlabel': 0, 'isodeg': [1, 3], 'isogeny_matrix': [[1, 3], [3, 1]], 'jinv': '1348179574467/719323136,-147393421345/719323136', 'label': '2.0.103.1-56.6-a2', 'local_data': [{'p': '(2,w)', 'cp': 1, 'kod': 25, 'red': -1, 'normp': 2, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 21, 'ord_den_j': 21}, {'p': '(2,w+1)', 'cp': 1, 'kod': 4, 'red': 0, 'normp': 2, 'rootno': -1, 'ord_cond': 2, 'ord_disc': 4, 'ord_den_j': 0}, {'p': '(7,w+1)', 'cp': 1, 'kod': 1, 'red': None, 'normp': 7, 'rootno': 1, 'ord_cond': 0, 'ord_disc': 0, 'ord_den_j': 0}, {'p': '(7,w+5)', 'cp': 3, 'kod': 7, 'red': 1, 'normp': 7, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 3, 'ord_den_j': 3}], 'minD': '(719323136,16*w+42018336)', 'n_bad_primes': 3, 'ngens': 1, 'non_min_p': ['(7,w+1)'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'normdisc': 159301729851199717376, 'number': 2, 'omega': {'__RealLiteral__': 0, 'data': '1.9672719868124424003319857359038242202', 'prec': 130}, 'potential_good_reduction': False, 'q_curve': False, 'rank': 1, 'rank_bounds': [1, 1], 'reducible_primes': [3], 'reg': {'__RealLiteral__': 0, 'data': '1.3601420477829010094260989205319391480', 'prec': 130}, 'root_analytic_conductor': 2.4808709436671084, 'semistable': False, 'sha': 1, 'short_class_label': '56.6-a', 'short_label': '56.6-a2', 'signature': [0, 1], 'tamagawa_product': 3, 'torsion_gens': [], 'torsion_order': 1, 'torsion_primes': [], 'torsion_structure': [], 'trace_hash': 2203498928308840100}
90. label: 2.0.103.1-68.3-a1
    {'Lvalue': {'__RealLiteral__': 0, 'data': '5.2163085500725650412473409334132348442', 'prec': 130}, 'abs_disc': 103, 'ainvs': '1,0;-1,0;1,0;-2959,-949;-7245,-33906', 'analytic_rank': 0, 'bad_primes': ['(2,w)', '(2,w+1)', '(17,w+6)'], 'base_change': [], 'class_deg': 2, 'class_label': '2.0.103.1-68.3-a', 'class_size': 2, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(34,2*w+12)', 'conductor_label': '68.3', 'conductor_norm': 68, 'conductor_norm_factors': [2, 17], 'degree': 2, 'disc': '(1112114*a+44346282)', 'equation': '{y}^2+{x}{y}+{y}={x}^3-{x}^2+\\left(-949a-2959\\right){x}-33906a-7245', 'field_label': '2.0.103.1', 'galois_images': ['2B'], 'gens': [], 'heights': [], 'iso_label': 'a', 'iso_nlabel': 0, 'isodeg': [1, 2], 'isogeny_matrix': [[1, 2], [2, 1]], 'jinv': '-17871347283993/36992,2953159112151/73984', 'label': '2.0.103.1-68.3-a1', 'local_data': [{'p': '(2,w)', 'cp': 1, 'kod': 5, 'red': 1, 'normp': 2, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 1, 'ord_den_j': 1}, {'p': '(2,w+1)', 'cp': 8, 'kod': 12, 'red': 1, 'normp': 2, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 8, 'ord_den_j': 8}, {'p': '(7,w+5)', 'cp': 1, 'kod': 1, 'red': None, 'normp': 7, 'rootno': 1, 'ord_cond': 0, 'ord_disc': 0, 'ord_den_j': 0}, {'p': '(17,w+6)', 'cp': 2, 'kod': 6, 'red': 1, 'normp': 17, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 2, 'ord_den_j': 2}], 'minD': '(73984,2*w+40506)', 'n_bad_primes': 3, 'ngens': 0, 'non_min_p': ['(7,w+5)'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'normdisc': 2048067584557568, 'number': 1, 'omega': {'__RealLiteral__': 0, 'data': '1.6543671826484337714944824946436034983', 'prec': 130}, 'potential_good_reduction': False, 'q_curve': False, 'rank': 0, 'rank_bounds': [0, 0], 'reducible_primes': [2], 'reg': 1, 'root_analytic_conductor': 2.6042603212245363, 'semistable': True, 'sha': 4, 'short_class_label': '68.3-a', 'short_label': '68.3-a1', 'signature': [0, 1], 'tamagawa_product': 16, 'torsion_gens': ['[[-149/4,-4],[145/8,2],[1,0]]'], 'torsion_order': 2, 'torsion_primes': [2], 'torsion_structure': [2], 'trace_hash': 2169177722726524010}
91. label: 2.0.103.1-68.3-a2
    {'Lvalue': {'__RealLiteral__': 0, 'data': '5.2163085500725650412473409334132348442', 'prec': 130}, 'abs_disc': 103, 'ainvs': '1,0;-1,0;1,0;-189,-59;-17,-518', 'analytic_rank': 0, 'bad_primes': ['(2,w)', '(2,w+1)', '(17,w+6)'], 'base_change': [], 'class_deg': 2, 'class_label': '2.0.103.1-68.3-a', 'class_size': 2, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(34,2*w+12)', 'conductor_label': '68.3', 'conductor_norm': 68, 'conductor_norm_factors': [2, 17], 'degree': 2, 'disc': '(48786604*a-4529796)', 'equation': '{y}^2+{x}{y}+{y}={x}^3-{x}^2+\\left(-59a-189\\right){x}-518a-17', 'field_label': '2.0.103.1', 'galois_images': ['2B'], 'gens': [], 'heights': [], 'iso_label': 'a', 'iso_nlabel': 0, 'isodeg': [1, 2], 'isogeny_matrix': [[1, 2], [2, 1]], 'jinv': '1771442325/557056,4829955237/1114112', 'label': '2.0.103.1-68.3-a2', 'local_data': [{'p': '(2,w)', 'cp': 2, 'kod': 6, 'red': 1, 'normp': 2, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 2, 'ord_den_j': 2}, {'p': '(2,w+1)', 'cp': 16, 'kod': 20, 'red': 1, 'normp': 2, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 16, 'ord_den_j': 16}, {'p': '(7,w+5)', 'cp': 1, 'kod': 1, 'red': None, 'normp': 7, 'rootno': 1, 'ord_cond': 0, 'ord_disc': 0, 'ord_den_j': 0}, {'p': '(17,w+6)', 'cp': 1, 'kod': 5, 'red': 1, 'normp': 17, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 1, 'ord_den_j': 1}], 'minD': '(1114112,4*w+1029748)', 'n_bad_primes': 3, 'ngens': 0, 'non_min_p': ['(7,w+5)'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'normdisc': 61682976664322048, 'number': 2, 'omega': {'__RealLiteral__': 0, 'data': '3.3087343652968675429889649892872069965', 'prec': 130}, 'potential_good_reduction': False, 'q_curve': False, 'rank': 0, 'rank_bounds': [0, 0], 'reducible_primes': [2], 'reg': 1, 'root_analytic_conductor': 2.6042603212245363, 'semistable': True, 'sha': 1, 'short_class_label': '68.3-a', 'short_label': '68.3-a2', 'signature': [0, 1], 'tamagawa_product': 32, 'torsion_gens': ['[[19,2],[-10,-1],[1,0]]'], 'torsion_order': 2, 'torsion_primes': [2], 'torsion_structure': [2], 'trace_hash': 2169177722726524010}
92. label: 2.0.103.1-68.4-a1
    {'Lvalue': {'__RealLiteral__': 0, 'data': '5.2163085500725650412473409334132348442', 'prec': 130}, 'abs_disc': 103, 'ainvs': '1,0;-1,0;1,0;-3908,949;-41151,33906', 'analytic_rank': 0, 'bad_primes': ['(2,w)', '(2,w+1)', '(17,w+10)'], 'base_change': [], 'class_deg': 2, 'class_label': '2.0.103.1-68.4-a', 'class_size': 2, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(34,2*w+20)', 'conductor_label': '68.4', 'conductor_norm': 68, 'conductor_norm_factors': [2, 17], 'degree': 2, 'disc': '(-1112114*a+45458396)', 'equation': '{y}^2+{x}{y}+{y}={x}^3-{x}^2+\\left(949a-3908\\right){x}+33906a-41151', 'field_label': '2.0.103.1', 'galois_images': ['2B'], 'gens': [], 'heights': [], 'iso_label': 'a', 'iso_nlabel': 0, 'isodeg': [1, 2], 'isogeny_matrix': [[1, 2], [2, 1]], 'jinv': '-32789535455835/73984,-2953159112151/73984', 'label': '2.0.103.1-68.4-a1', 'local_data': [{'p': '(2,w)', 'cp': 8, 'kod': 12, 'red': 1, 'normp': 2, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 8, 'ord_den_j': 8}, {'p': '(2,w+1)', 'cp': 1, 'kod': 5, 'red': 1, 'normp': 2, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 1, 'ord_den_j': 1}, {'p': '(7,w+1)', 'cp': 1, 'kod': 1, 'red': None, 'normp': 7, 'rootno': 1, 'ord_cond': 0, 'ord_disc': 0, 'ord_den_j': 0}, {'p': '(17,w+10)', 'cp': 2, 'kod': 6, 'red': 1, 'normp': 17, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 2, 'ord_den_j': 2}], 'minD': '(73984,2*w+33476)', 'n_bad_primes': 3, 'ngens': 0, 'non_min_p': ['(7,w+1)'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'normdisc': 2048067584557568, 'number': 1, 'omega': {'__RealLiteral__': 0, 'data': '1.6543671826484337714944824946436034983', 'prec': 130}, 'potential_good_reduction': False, 'q_curve': False, 'rank': 0, 'rank_bounds': [0, 0], 'reducible_primes': [2], 'reg': 1, 'root_analytic_conductor': 2.6042603212245363, 'semistable': True, 'sha': 4, 'short_class_label': '68.4-a', 'short_label': '68.4-a1', 'signature': [0, 1], 'tamagawa_product': 16, 'torsion_gens': ['[[-165/4,4],[161/8,-2],[1,0]]'], 'torsion_order': 2, 'torsion_primes': [2], 'torsion_structure': [2], 'trace_hash': 2169177722726524010}
93. label: 2.0.103.1-68.4-a2
    {'Lvalue': {'__RealLiteral__': 0, 'data': '5.2163085500725650412473409334132348442', 'prec': 130}, 'abs_disc': 103, 'ainvs': '1,0;-1,0;1,0;-248,59;-535,518', 'analytic_rank': 0, 'bad_primes': ['(2,w)', '(2,w+1)', '(17,w+10)'], 'base_change': [], 'class_deg': 2, 'class_label': '2.0.103.1-68.4-a', 'class_size': 2, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(34,2*w+20)', 'conductor_label': '68.4', 'conductor_norm': 68, 'conductor_norm_factors': [2, 17], 'degree': 2, 'disc': '(-48786604*a+44256808)', 'equation': '{y}^2+{x}{y}+{y}={x}^3-{x}^2+\\left(59a-248\\right){x}+518a-535', 'field_label': '2.0.103.1', 'galois_images': ['2B'], 'gens': [], 'heights': [], 'iso_label': 'a', 'iso_nlabel': 0, 'isodeg': [1, 2], 'isogeny_matrix': [[1, 2], [2, 1]], 'jinv': '8372839887/1114112,-4829955237/1114112', 'label': '2.0.103.1-68.4-a2', 'local_data': [{'p': '(2,w)', 'cp': 16, 'kod': 20, 'red': 1, 'normp': 2, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 16, 'ord_den_j': 16}, {'p': '(2,w+1)', 'cp': 2, 'kod': 6, 'red': 1, 'normp': 2, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 2, 'ord_den_j': 2}, {'p': '(7,w+1)', 'cp': 1, 'kod': 1, 'red': None, 'normp': 7, 'rootno': 1, 'ord_cond': 0, 'ord_disc': 0, 'ord_den_j': 0}, {'p': '(17,w+10)', 'cp': 1, 'kod': 5, 'red': 1, 'normp': 17, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 1, 'ord_den_j': 1}], 'minD': '(1114112,4*w+84360)', 'n_bad_primes': 3, 'ngens': 0, 'non_min_p': ['(7,w+1)'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'normdisc': 61682976664322048, 'number': 2, 'omega': {'__RealLiteral__': 0, 'data': '3.3087343652968675429889649892872069965', 'prec': 130}, 'potential_good_reduction': False, 'q_curve': False, 'rank': 0, 'rank_bounds': [0, 0], 'reducible_primes': [2], 'reg': 1, 'root_analytic_conductor': 2.6042603212245363, 'semistable': True, 'sha': 1, 'short_class_label': '68.4-a', 'short_label': '68.4-a2', 'signature': [0, 1], 'tamagawa_product': 32, 'torsion_gens': ['[[21,-2],[-11,1],[1,0]]'], 'torsion_order': 2, 'torsion_primes': [2], 'torsion_structure': [2], 'trace_hash': 2169177722726524010}
94. label: 2.0.103.1-72.2-a1
    {'Lvalue': {'__RealLiteral__': 0, 'data': '4.0696613803682774350642034276992269207', 'prec': 130}, 'abs_disc': 103, 'ainvs': '0,0;0,1;0,0;75,-9;-144,36', 'analytic_rank': 2, 'bad_primes': ['(2,w)', '(2,w+1)', '(3)'], 'base_change': [], 'class_deg': 1, 'class_label': '2.0.103.1-72.2-a', 'class_size': 1, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(12,6*w)', 'conductor_label': '72.2', 'conductor_norm': 72, 'conductor_norm_factors': [2, 3], 'degree': 2, 'disc': '(12130560*a-22457088)', 'equation': '{y}^2={x}^3+a{x}^2+\\left(-9a+75\\right){x}+36a-144', 'field_label': '2.0.103.1', 'galois_images': [], 'gens': ['[[477420/185761,-42478/185761],[453127644/80062991,-13859472/80062991],[1,0]]', '[[-13,1],[-34,-10],[1,0]]'], 'heights': [{'__RealLiteral__': 0, 'data': '7.7071303612767028233920947280794802224', 'prec': 130}, {'__RealLiteral__': 0, 'data': '0.47469588963037806676833838038459476633', 'prec': 133}], 'iso_label': 'a', 'iso_nlabel': 0, 'isodeg': [1], 'isogeny_matrix': [[1]], 'jinv': '10613575253/7962624,-1297412507/15925248', 'label': '2.0.103.1-72.2-a1', 'local_data': [{'p': '(2,w)', 'cp': 3, 'kod': -4, 'red': 0, 'normp': 2, 'rootno': -1, 'ord_cond': 2, 'ord_disc': 8, 'ord_den_j': 0}, {'p': '(2,w+1)', 'cp': 2, 'kod': 20, 'red': -1, 'normp': 2, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 16, 'ord_den_j': 16}, {'p': '(3)', 'cp': 1, 'kod': 9, 'red': -1, 'normp': 9, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 5, 'ord_den_j': 5}], 'minD': '(15925248,62208*w+9766656)', 'n_bad_primes': 3, 'ngens': 2, 'non_min_p': ['(2,w+1)'], 'nonmax_primes': [], 'nonmax_rad': 1, 'normdisc': 4057816381784064, 'number': 1, 'omega': {'__RealLiteral__': 0, 'data': '1.3762407225721532916261115255262590434', 'prec': 130}, 'potential_good_reduction': False, 'q_curve': False, 'rank': 2, 'rank_bounds': [2, 2], 'reducible_primes': [], 'reg': {'__RealLiteral__': 0, 'data': '0.62523206906116804869380708959235068267', 'prec': 133}, 'root_analytic_conductor': 2.6417413250856554, 'semistable': False, 'sha': 1, 'short_class_label': '72.2-a', 'short_label': '72.2-a1', 'signature': [0, 1], 'tamagawa_product': 6, 'torsion_gens': [], 'torsion_order': 1, 'torsion_primes': [], 'torsion_structure': [], 'trace_hash': 2014876149684677488}
95. label: 2.0.103.1-72.3-a1
    {'Lvalue': {'__RealLiteral__': 0, 'data': '4.0696613803682774350642034276992269207', 'prec': 130}, 'abs_disc': 103, 'ainvs': '0,0;1,-1;0,0;66,9;-108,-36', 'analytic_rank': 2, 'bad_primes': ['(2,w)', '(2,w+1)', '(3)'], 'base_change': [], 'class_deg': 1, 'class_label': '2.0.103.1-72.3-a', 'class_size': 1, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(12,6*w+6)', 'conductor_label': '72.3', 'conductor_norm': 72, 'conductor_norm_factors': [2, 3], 'degree': 2, 'disc': '(-12130560*a-10326528)', 'equation': '{y}^2={x}^3+\\left(-a+1\\right){x}^2+\\left(9a+66\\right){x}-36a-108', 'field_label': '2.0.103.1', 'galois_images': [], 'gens': ['[[10,-6],[-64,-32],[1,0]]', '[[0,-1],[16,-2],[1,0]]'], 'heights': [{'__RealLiteral__': 0, 'data': '1.5295513962184062474410456321599573537', 'prec': 130}, {'__RealLiteral__': 0, 'data': '1.3691419663871529891973827883918287961', 'prec': 130}], 'iso_label': 'a', 'iso_nlabel': 0, 'isodeg': [1], 'isogeny_matrix': [[1]], 'jinv': '19929737999/15925248,1297412507/15925248', 'label': '2.0.103.1-72.3-a1', 'local_data': [{'p': '(2,w)', 'cp': 2, 'kod': 20, 'red': -1, 'normp': 2, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 16, 'ord_den_j': 16}, {'p': '(2,w+1)', 'cp': 3, 'kod': -4, 'red': 0, 'normp': 2, 'rootno': -1, 'ord_cond': 2, 'ord_disc': 8, 'ord_den_j': 0}, {'p': '(3)', 'cp': 1, 'kod': 9, 'red': -1, 'normp': 9, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 5, 'ord_den_j': 5}], 'minD': '(15925248,62208*w+6096384)', 'n_bad_primes': 3, 'ngens': 2, 'non_min_p': ['(2,w)'], 'nonmax_primes': [], 'nonmax_rad': 1, 'normdisc': 4057816381784064, 'number': 1, 'omega': {'__RealLiteral__': 0, 'data': '1.3762407225721532916261115255262590434', 'prec': 130}, 'potential_good_reduction': False, 'q_curve': False, 'rank': 2, 'rank_bounds': [2, 2], 'reducible_primes': [], 'reg': {'__RealLiteral__': 0, 'data': '0.62523206906116804869380708959235068258', 'prec': 133}, 'root_analytic_conductor': 2.6417413250856554, 'semistable': False, 'sha': 1, 'short_class_label': '72.3-a', 'short_label': '72.3-a1', 'signature': [0, 1], 'tamagawa_product': 6, 'torsion_gens': [], 'torsion_order': 1, 'torsion_primes': [], 'torsion_structure': [], 'trace_hash': 2014876149684677488}
96. label: 2.0.103.1-98.1-a1
    {'Lvalue': {'__RealLiteral__': 0, 'data': '0.22115719589288257578083364912978627324', 'prec': 133}, 'abs_disc': 103, 'ainvs': '1,1;0,1;1,1;526,-137;-6438,365', 'analytic_rank': 0, 'bad_primes': ['(2,w)', '(7,w+1)'], 'base_change': [], 'class_deg': 1, 'class_label': '2.0.103.1-98.1-a', 'class_size': 1, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(w+8)', 'conductor_label': '98.1', 'conductor_norm': 98, 'conductor_norm_factors': [2, 7], 'degree': 2, 'disc': '(877137920*a+7863672832)', 'equation': '{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3+a{x}^2+\\left(-137a+526\\right){x}+365a-6438', 'field_label': '2.0.103.1', 'galois_images': [], 'gens': [], 'heights': [], 'iso_label': 'a', 'iso_nlabel': 0, 'isodeg': [1], 'isogeny_matrix': [[1]], 'jinv': '3247586485549/536870912,-140299056943/536870912', 'label': '2.0.103.1-98.1-a1', 'local_data': [{'p': '(2,w)', 'cp': 1, 'kod': 33, 'red': -1, 'normp': 2, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 29, 'ord_den_j': 29}, {'p': '(2,w+1)', 'cp': 1, 'kod': 1, 'red': None, 'normp': 2, 'rootno': 1, 'ord_cond': 0, 'ord_disc': 0, 'ord_den_j': 0}, {'p': '(7,w+1)', 'cp': 2, 'kod': -3, 'red': 0, 'normp': 7, 'rootno': -1, 'ord_cond': 2, 'ord_disc': 9, 'ord_den_j': 0}], 'minD': '(21664677792579584,w+15662569894580834)', 'n_bad_primes': 2, 'ngens': 0, 'non_min_p': ['(2,w+1)'], 'nonmax_primes': [], 'nonmax_rad': 1, 'normdisc': 88738520238405976064, 'number': 1, 'omega': {'__RealLiteral__': 0, 'data': '0.56112509998918090399265355435760308506', 'prec': 133}, 'potential_good_reduction': False, 'q_curve': False, 'rank': 0, 'rank_bounds': [0, 0], 'reducible_primes': [], 'reg': 1, 'root_analytic_conductor': 2.8534067533580862, 'semistable': False, 'sha': 1, 'short_class_label': '98.1-a', 'short_label': '98.1-a1', 'signature': [0, 1], 'tamagawa_product': 2, 'torsion_gens': [], 'torsion_order': 1, 'torsion_primes': [], 'torsion_structure': [], 'trace_hash': 2000618236837429879}
97. label: 2.0.103.1-98.1-b1
    {'Lvalue': {'__RealLiteral__': 0, 'data': '1.9720221550083781281835445001267161248', 'prec': 130}, 'abs_disc': 103, 'ainvs': '1,1;0,1;1,0;-416,-1;3188,-479', 'analytic_rank': 0, 'bad_primes': ['(2,w)', '(7,w+1)'], 'base_change': [], 'class_deg': 1, 'class_label': '2.0.103.1-98.1-b', 'class_size': 1, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(w+8)', 'conductor_label': '98.1', 'conductor_norm': 98, 'conductor_norm_factors': [2, 7], 'degree': 2, 'disc': '(289258751*a+2235522616)', 'equation': '{y}^2+\\left(a+1\\right){x}{y}+{y}={x}^3+a{x}^2+\\left(-a-416\\right){x}-479a+3188', 'field_label': '2.0.103.1', 'galois_images': [], 'gens': [], 'heights': [], 'iso_label': 'b', 'iso_nlabel': 1, 'isodeg': [1], 'isogeny_matrix': [[1]], 'jinv': '3979/2,-697/2', 'label': '2.0.103.1-98.1-b1', 'local_data': [{'p': '(2,w)', 'cp': 1, 'kod': 5, 'red': -1, 'normp': 2, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 1, 'ord_den_j': 1}, {'p': '(7,w+1)', 'cp': 1, 'kod': -2, 'red': 0, 'normp': 7, 'rootno': -1, 'ord_cond': 2, 'ord_disc': 10, 'ord_den_j': 0}], 'minD': '(564950498,w+524097344)', 'n_bad_primes': 2, 'ngens': 0, 'non_min_p': ['(7,w+1)'], 'nonmax_primes': [], 'nonmax_rad': 1, 'normdisc': 7819642097165976098, 'number': 1, 'omega': {'__RealLiteral__': 0, 'data': '2.5017298768924387655938057197715382104', 'prec': 130}, 'potential_good_reduction': False, 'q_curve': False, 'rank': 0, 'rank_bounds': [0, 0], 'reducible_primes': [], 'reg': 1, 'root_analytic_conductor': 2.8534067533580862, 'semistable': False, 'sha': 4, 'short_class_label': '98.1-b', 'short_label': '98.1-b1', 'signature': [0, 1], 'tamagawa_product': 1, 'torsion_gens': [], 'torsion_order': 1, 'torsion_primes': [], 'torsion_structure': [], 'trace_hash': 1497753406236118652}
98. label: 2.0.103.1-98.2-a1
    {'Lvalue': {'__RealLiteral__': 0, 'data': '1.9894048273778487721300856189202241341', 'prec': 130}, 'abs_disc': 103, 'ainvs': '1,1;-1,1;1,1;-1,-9;55,-1', 'analytic_rank': 0, 'bad_primes': ['(2,w)', '(7,w+1)', '(7,w+5)'], 'base_change': [], 'class_deg': 9, 'class_label': '2.0.103.1-98.2-a', 'class_size': 3, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(14,7*w)', 'conductor_label': '98.2', 'conductor_norm': 98, 'conductor_norm_factors': [2, 7], 'degree': 2, 'disc': '(-3584*a-17920)', 'equation': '{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3+\\left(a-1\\right){x}^2+\\left(-9a-1\\right){x}-a+55', 'field_label': '2.0.103.1', 'galois_images': ['3B.1.1'], 'gens': [], 'heights': [], 'iso_label': 'a', 'iso_nlabel': 0, 'isodeg': [1, 3, 9], 'isogeny_matrix': [[1, 9, 3], [9, 1, 3], [3, 3, 1]], 'jinv': '-8708811/25088,960121/25088', 'label': '2.0.103.1-98.2-a1', 'local_data': [{'p': '(2,w)', 'cp': 9, 'kod': 13, 'red': 1, 'normp': 2, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 9, 'ord_den_j': 9}, {'p': '(2,w+1)', 'cp': 1, 'kod': 1, 'red': None, 'normp': 2, 'rootno': 1, 'ord_cond': 0, 'ord_disc': 0, 'ord_den_j': 0}, {'p': '(7,w+1)', 'cp': 1, 'kod': 5, 'red': 1, 'normp': 7, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 1, 'ord_den_j': 1}, {'p': '(7,w+5)', 'cp': 2, 'kod': 6, 'red': 1, 'normp': 7, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 2, 'ord_den_j': 2}], 'minD': '(25088,7*w+18606)', 'n_bad_primes': 3, 'ngens': 0, 'non_min_p': ['(2,w+1)'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'normdisc': 719323136, 'number': 1, 'omega': {'__RealLiteral__': 0, 'data': '5.0475634680321980818560547811500604945', 'prec': 130}, 'potential_good_reduction': False, 'q_curve': False, 'rank': 0, 'rank_bounds': [0, 0], 'reducible_primes': [3], 'reg': 1, 'root_analytic_conductor': 2.8534067533580862, 'semistable': True, 'sha': 1, 'short_class_label': '98.2-a', 'short_label': '98.2-a1', 'signature': [0, 1], 'tamagawa_product': 18, 'torsion_gens': ['[[1,-1],[-18,0],[1,0]]'], 'torsion_order': 3, 'torsion_primes': [3], 'torsion_structure': [3], 'trace_hash': 1571681610278280791}
99. label: 2.0.103.1-98.2-a2
    {'Lvalue': {'__RealLiteral__': 0, 'data': '1.9894048273778487721300856189202241341', 'prec': 130}, 'abs_disc': 103, 'ainvs': '1,1;-1,1;1,1;289,-159;8467,-181', 'analytic_rank': 0, 'bad_primes': ['(2,w)', '(7,w+1)', '(7,w+5)'], 'base_change': [], 'class_deg': 9, 'class_label': '2.0.103.1-98.2-a', 'class_size': 3, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(14,7*w)', 'conductor_label': '98.2', 'conductor_norm': 98, 'conductor_norm_factors': [2, 7], 'degree': 2, 'disc': '(-774552926*a+9215158106)', 'equation': '{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3+\\left(a-1\\right){x}^2+\\left(-159a+289\\right){x}-181a+8467', 'field_label': '2.0.103.1', 'galois_images': ['3B.1.1'], 'gens': [], 'heights': [], 'iso_label': 'a', 'iso_nlabel': 0, 'isodeg': [1, 3, 9], 'isogeny_matrix': [[1, 9, 3], [9, 1, 3], [3, 3, 1]], 'jinv': '17918841179315121525/3256827195820898,-1217655591713233991/3256827195820898', 'label': '2.0.103.1-98.2-a2', 'local_data': [{'p': '(2,w)', 'cp': 1, 'kod': 5, 'red': 1, 'normp': 2, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 1, 'ord_den_j': 1}, {'p': '(2,w+1)', 'cp': 1, 'kod': 1, 'red': None, 'normp': 2, 'rootno': 1, 'ord_cond': 0, 'ord_disc': 0, 'ord_den_j': 0}, {'p': '(7,w+1)', 'cp': 1, 'kod': 5, 'red': 1, 'normp': 7, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 1, 'ord_den_j': 1}, {'p': '(7,w+5)', 'cp': 18, 'kod': 22, 'red': 1, 'normp': 7, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 18, 'ord_den_j': 18}], 'minD': '(3256827195820898,7*w+1671796432623940)', 'n_bad_primes': 3, 'ngens': 0, 'non_min_p': ['(2,w+1)'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'normdisc': 93379749358576787456, 'number': 2, 'omega': {'__RealLiteral__': 0, 'data': '0.56084038533691089798400608679445116606', 'prec': 133}, 'potential_good_reduction': False, 'q_curve': False, 'rank': 0, 'rank_bounds': [0, 0], 'reducible_primes': [3], 'reg': 1, 'root_analytic_conductor': 2.8534067533580862, 'semistable': True, 'sha': 1, 'short_class_label': '98.2-a', 'short_label': '98.2-a2', 'signature': [0, 1], 'tamagawa_product': 18, 'torsion_gens': [], 'torsion_order': 1, 'torsion_primes': [], 'torsion_structure': [], 'trace_hash': 1571681610278280791}