Database - ec_curvedata ((description not yet updated on this server))

Formats: - HTML - YAML - JSON - 2026-03-04T05:43:35.537336 - next page

Query: /api/ec_curvedata/?_offset=0

Column	Type
Ciso	text
Clabel	text
Cnumber	smallint
abc_quality	double precision
absD	numeric
adelic_genus	integer
adelic_index	integer
adelic_level	bigint
ainvs	numeric[]
analytic_rank	smallint
bad_primes	integer[]
class_deg	smallint
class_size	smallint
cm	smallint
conductor	integer
degree	bigint
elladic_images	text[]
faltings_height	numeric
faltings_index	smallint
faltings_ratio	smallint
iso_nlabel	smallint
isogeny_degrees	smallint[]
jinv	numeric[]
lmfdb_iso	text
lmfdb_label	text
lmfdb_number	smallint
manin_constant	smallint
min_quad_twist_ainvs	numeric[]
min_quad_twist_disc	smallint
modell_images	text[]
modm_images	text[]
nonmax_primes	smallint[]
nonmax_rad	integer
num_bad_primes	smallint
num_int_pts	integer
optimality	smallint
potential_good_reduction	boolean
rank	smallint
regulator	numeric
semistable	boolean
serre_invariants	integer[]
sha	integer
sha_primes	smallint[]
signD	smallint
stable_faltings_height	numeric
szpiro_ratio	double precision
torsion	smallint
torsion_primes	smallint[]
torsion_structure	smallint[]

0. lmfdb_label: 11.a1
   {'Ciso': '11a', 'Clabel': '11a2', 'Cnumber': 2, 'abc_quality': 1.0929566831983986, 'absD': 11, 'adelic_genus': 37, 'adelic_index': 1200, 'adelic_level': 550, 'ainvs': [0, -1, 1, -7820, -263580], 'analytic_rank': 0, 'bad_primes': [11], 'class_deg': 25, 'class_size': 3, 'cm': 0, 'conductor': 11, 'degree': 5, 'elladic_images': ['25.120.0.3'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.49670911509864712261136540515', 'prec': 103}, 'faltings_index': 2, 'faltings_ratio': 25, 'iso_nlabel': 0, 'isogeny_degrees': [1, 5, 25], 'jinv': [-52893159101157376, 11], 'lmfdb_iso': '11.a', 'lmfdb_label': '11.a1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 1, -7820, -263580], 'min_quad_twist_disc': 1, 'modell_images': ['5B.1.2'], 'modm_images': ['5.24.0-5.a.2.2', '22.2.0.a.1', '25.120.0-25.a.2.2', '110.48.1.?', '275.600.12.?', '550.1200.37.?'], 'nonmax_primes': [5], 'nonmax_rad': 5, 'num_bad_primes': 1, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': True, 'serre_invariants': [[11, 12, 1]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.49670911509864712261136540515', 'prec': 103}, 'szpiro_ratio': 16.058687318281603, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
1. lmfdb_label: 11.a2
   {'Ciso': '11a', 'Clabel': '11a1', 'Cnumber': 1, 'abc_quality': 1.012998630378065, 'absD': 161051, 'adelic_genus': 37, 'adelic_index': 1200, 'adelic_level': 550, 'ainvs': [0, -1, 1, -10, -20], 'analytic_rank': 0, 'bad_primes': [11], 'class_deg': 25, 'class_size': 3, 'cm': 0, 'conductor': 11, 'degree': 1, 'elladic_images': ['5.120.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.30800984111840306468901426146', 'prec': 107}, 'faltings_index': 1, 'faltings_ratio': 5, 'iso_nlabel': 0, 'isogeny_degrees': [1, 5], 'jinv': [-122023936, 161051], 'lmfdb_iso': '11.a', 'lmfdb_label': '11.a2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 1, -10, -20], 'min_quad_twist_disc': 1, 'modell_images': ['5Cs.1.1'], 'modm_images': ['5.120.0-5.a.1.2', '22.2.0.a.1', '110.240.5.?', '275.600.12.?', '550.1200.37.?'], 'nonmax_primes': [5], 'nonmax_rad': 5, 'num_bad_primes': 1, 'num_int_pts': 4, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': True, 'serre_invariants': [[5, 2, 1], [11, 12, 1]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.30800984111840306468901426146', 'prec': 107}, 'szpiro_ratio': 8.26048375415454, 'torsion': 5, 'torsion_primes': [5], 'torsion_structure': [5]}
2. lmfdb_label: 11.a3
   {'Ciso': '11a', 'Clabel': '11a3', 'Cnumber': 3, 'abc_quality': 0.8254556483942886, 'absD': 11, 'adelic_genus': 37, 'adelic_index': 1200, 'adelic_level': 550, 'ainvs': [0, -1, 1, 0, 0], 'analytic_rank': 0, 'bad_primes': [11], 'class_deg': 25, 'class_size': 3, 'cm': 0, 'conductor': 11, 'degree': 5, 'elladic_images': ['25.120.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-1.1127287973354532519893939281', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 0, 'isogeny_degrees': [1, 5, 25], 'jinv': [-4096, 11], 'lmfdb_iso': '11.a', 'lmfdb_label': '11.a3', 'lmfdb_number': 3, 'manin_constant': 5, 'min_quad_twist_ainvs': [0, -1, 1, 0, 0], 'min_quad_twist_disc': 1, 'modell_images': ['5B.1.1'], 'modm_images': ['5.24.0-5.a.1.2', '22.2.0.a.1', '25.120.0-25.a.1.2', '110.48.1.?', '275.600.12.?', '550.1200.37.?'], 'nonmax_primes': [5], 'nonmax_rad': 5, 'num_bad_primes': 1, 'num_int_pts': 4, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': True, 'serre_invariants': [[11, 12, 1]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.1127287973354532519893939281', 'prec': 103}, 'szpiro_ratio': 4.190241815676422, 'torsion': 5, 'torsion_primes': [5], 'torsion_structure': [5]}
3. lmfdb_label: 14.a1
   {'Ciso': '14a', 'Clabel': '14a5', 'Cnumber': 5, 'abc_quality': 1.0648884149541868, 'absD': 25088, 'adelic_genus': 21, 'adelic_index': 864, 'adelic_level': 504, 'ainvs': [1, 0, 1, -2731, -55146], 'analytic_rank': 0, 'bad_primes': [2, 7], 'class_deg': 18, 'class_size': 6, 'cm': 0, 'conductor': 14, 'degree': 6, 'elladic_images': ['8.6.0.6', '9.24.0.3'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.41310098042308445758078235484', 'prec': 103}, 'faltings_index': 5, 'faltings_ratio': 18, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2, 3, 6, 9, 18], 'jinv': [2251439055699625, 25088], 'lmfdb_iso': '14.a', 'lmfdb_label': '14.a1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -2731, -55146], 'min_quad_twist_disc': 1, 'modell_images': ['2B', '3B.1.2'], 'modm_images': ['2.3.0.a.1', '3.8.0-3.a.1.1', '6.24.0-6.a.1.2', '8.6.0.b.1', '9.24.0-9.a.1.1', '18.72.0-18.a.1.2', '24.48.0-24.y.1.13', '28.6.0.c.1', '56.12.0.k.1', '63.72.0-63.d.1.3', '72.144.1.?', '84.48.0.?', '126.216.2.?', '168.96.1.?', '252.432.7.?', '504.864.21.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 2, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': True, 'serre_invariants': [[2, 4, 1], [3, 2, 7], [7, 8, 2]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.41310098042308445758078235484', 'prec': 103}, 'szpiro_ratio': 13.395065575232227, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
4. lmfdb_label: 14.a2
   {'Ciso': '14a', 'Clabel': '14a3', 'Cnumber': 3, 'abc_quality': 1.0293250379726038, 'absD': 1835008, 'adelic_genus': 21, 'adelic_index': 864, 'adelic_level': 504, 'ainvs': [1, 0, 1, -171, -874], 'analytic_rank': 0, 'bad_primes': [2, 7], 'class_deg': 18, 'class_size': 6, 'cm': 0, 'conductor': 14, 'degree': 3, 'elladic_images': ['8.6.0.1', '9.24.0.3'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.066527390143111802872166294108', 'prec': 107}, 'faltings_index': 4, 'faltings_ratio': 9, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2, 3, 6, 9, 18], 'jinv': [-548347731625, 1835008], 'lmfdb_iso': '14.a', 'lmfdb_label': '14.a2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -171, -874], 'min_quad_twist_disc': 1, 'modell_images': ['2B', '3B.1.2'], 'modm_images': ['2.3.0.a.1', '3.8.0-3.a.1.1', '6.24.0-6.a.1.2', '8.6.0.c.1', '9.24.0-9.a.1.1', '14.6.0.b.1', '18.72.0-18.a.1.2', '24.48.0-24.bw.1.11', '42.48.0-42.b.1.3', '56.12.0.n.1', '63.72.0-63.d.1.3', '72.144.1.?', '126.432.7.?', '168.96.1.?', '504.864.21.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 2, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': True, 'serre_invariants': [[2, 4, 7], [3, 2, 7], [7, 8, 2]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.066527390143111802872166294108', 'prec': 107}, 'szpiro_ratio': 10.244544953238103, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
5. lmfdb_label: 14.a3
   {'Ciso': '14a', 'Clabel': '14a2', 'Cnumber': 2, 'abc_quality': 1.0082122835525031, 'absD': 941192, 'adelic_genus': 21, 'adelic_index': 864, 'adelic_level': 504, 'ainvs': [1, 0, 1, -36, -70], 'analytic_rank': 0, 'bad_primes': [2, 7], 'class_deg': 18, 'class_size': 6, 'cm': 0, 'conductor': 14, 'degree': 2, 'elladic_images': ['8.6.0.6', '3.24.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.13620516391097038811684026362', 'prec': 107}, 'faltings_index': 3, 'faltings_ratio': 6, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [4956477625, 941192], 'lmfdb_iso': '14.a', 'lmfdb_label': '14.a3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -36, -70], 'min_quad_twist_disc': 1, 'modell_images': ['2B', '3Cs.1.1'], 'modm_images': ['2.3.0.a.1', '3.24.0-3.a.1.1', '6.72.0-6.a.1.1', '8.6.0.b.1', '24.144.1-24.h.1.1', '28.6.0.c.1', '56.12.0.k.1', '63.72.0-63.a.1.3', '84.144.1.?', '126.216.2.?', '168.288.5.?', '252.432.7.?', '504.864.21.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 2, 'num_int_pts': 4, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': True, 'serre_invariants': [[2, 4, 1], [3, 2, 1], [7, 8, 2]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.13620516391097038811684026362', 'prec': 107}, 'szpiro_ratio': 8.45906639413832, 'torsion': 6, 'torsion_primes': [2, 3], 'torsion_structure': [6]}
6. lmfdb_label: 14.a4
   {'Ciso': '14a', 'Clabel': '14a6', 'Cnumber': 6, 'abc_quality': 0.9676277689392396, 'absD': 98, 'adelic_genus': 21, 'adelic_index': 864, 'adelic_level': 504, 'ainvs': [1, 0, 1, -11, 12], 'analytic_rank': 0, 'bad_primes': [2, 7], 'class_deg': 18, 'class_size': 6, 'cm': 0, 'conductor': 14, 'degree': 6, 'elladic_images': ['8.6.0.6', '9.24.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.68551130824502523381446288209', 'prec': 107}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2, 3, 6, 9, 18], 'jinv': [128787625, 98], 'lmfdb_iso': '14.a', 'lmfdb_label': '14.a4', 'lmfdb_number': 4, 'manin_constant': 3, 'min_quad_twist_ainvs': [1, 0, 1, -11, 12], 'min_quad_twist_disc': 1, 'modell_images': ['2B', '3B.1.1'], 'modm_images': ['2.3.0.a.1', '3.8.0-3.a.1.2', '6.24.0-6.a.1.4', '8.6.0.b.1', '9.24.0-9.a.1.2', '18.72.0-18.a.1.1', '24.48.0-24.y.1.15', '28.6.0.c.1', '56.12.0.k.1', '63.72.0-63.d.2.4', '72.144.1.?', '84.48.0.?', '126.216.2.?', '168.96.1.?', '252.432.7.?', '504.864.21.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 2, 'num_int_pts': 4, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': True, 'serre_invariants': [[2, 4, 1], [7, 8, 2]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.68551130824502523381446288209', 'prec': 107}, 'szpiro_ratio': 7.075888453908073, 'torsion': 6, 'torsion_primes': [2, 3], 'torsion_structure': [6]}
7. lmfdb_label: 14.a5
   {'Ciso': '14a', 'Clabel': '14a4', 'Cnumber': 4, 'abc_quality': 1.0171207213859017, 'absD': 28, 'adelic_genus': 21, 'adelic_index': 864, 'adelic_level': 504, 'ainvs': [1, 0, 1, -1, 0], 'analytic_rank': 0, 'bad_primes': [2, 7], 'class_deg': 18, 'class_size': 6, 'cm': 0, 'conductor': 14, 'degree': 3, 'elladic_images': ['8.6.0.1', '9.24.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-1.0320848985249978885230789428', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2, 3, 6, 9, 18], 'jinv': [-15625, 28], 'lmfdb_iso': '14.a', 'lmfdb_label': '14.a5', 'lmfdb_number': 5, 'manin_constant': 3, 'min_quad_twist_ainvs': [1, 0, 1, -1, 0], 'min_quad_twist_disc': 1, 'modell_images': ['2B', '3B.1.1'], 'modm_images': ['2.3.0.a.1', '3.8.0-3.a.1.2', '6.24.0-6.a.1.4', '8.6.0.c.1', '9.24.0-9.a.1.2', '14.6.0.b.1', '18.72.0-18.a.1.1', '24.48.0-24.bw.1.15', '42.48.0-42.b.1.4', '56.12.0.n.1', '63.72.0-63.d.2.4', '72.144.1.?', '126.432.7.?', '168.96.1.?', '504.864.21.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 2, 'num_int_pts': 5, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': True, 'serre_invariants': [[2, 4, 7], [7, 8, 2]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.0320848985249978885230789428', 'prec': 103}, 'szpiro_ratio': 4.193459101196728, 'torsion': 6, 'torsion_primes': [2, 3], 'torsion_structure': [6]}
8. lmfdb_label: 14.a6
   {'Ciso': '14a', 'Clabel': '14a1', 'Cnumber': 1, 'abc_quality': 0.9869508090989833, 'absD': 21952, 'adelic_genus': 21, 'adelic_index': 864, 'adelic_level': 504, 'ainvs': [1, 0, 1, 4, -6], 'analytic_rank': 0, 'bad_primes': [2, 7], 'class_deg': 18, 'class_size': 6, 'cm': 0, 'conductor': 14, 'degree': 1, 'elladic_images': ['8.6.0.1', '3.24.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.48277875419094304282545632435', 'prec': 107}, 'faltings_index': 2, 'faltings_ratio': 3, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [9938375, 21952], 'lmfdb_iso': '14.a', 'lmfdb_label': '14.a6', 'lmfdb_number': 6, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, 4, -6], 'min_quad_twist_disc': 1, 'modell_images': ['2B', '3Cs.1.1'], 'modm_images': ['2.3.0.a.1', '3.24.0-3.a.1.1', '6.72.0-6.a.1.1', '8.6.0.c.1', '14.6.0.b.1', '24.144.1-24.n.1.1', '42.144.1-42.d.1.2', '56.12.0.n.1', '63.72.0-63.a.1.3', '126.432.7.?', '168.288.5.?', '504.864.21.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 2, 'num_int_pts': 5, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': True, 'serre_invariants': [[2, 4, 7], [3, 2, 1], [7, 8, 2]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.48277875419094304282545632435', 'prec': 107}, 'szpiro_ratio': 6.49759476362272, 'torsion': 6, 'torsion_primes': [2, 3], 'torsion_structure': [6]}
9. lmfdb_label: 15.a1
   {'Ciso': '15a', 'Clabel': '15a5', 'Cnumber': 5, 'abc_quality': 1.0735374703334082, 'absD': 405, 'adelic_genus': 13, 'adelic_index': 768, 'adelic_level': 480, 'ainvs': [1, 1, 1, -2160, -39540], 'analytic_rank': 0, 'bad_primes': [3, 5], 'class_deg': 16, 'class_size': 8, 'cm': 0, 'conductor': 15, 'degree': 4, 'elladic_images': ['16.96.0.148'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.29086960847710152197363562429', 'prec': 103}, 'faltings_index': 7, 'faltings_ratio': 16, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2, 4, 8, 16], 'jinv': [1114544804970241, 405], 'lmfdb_iso': '15.a', 'lmfdb_label': '15.a1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -2160, -39540], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.2', '8.48.0-8.bb.2.3', '10.6.0.a.1', '16.96.0-16.x.2.4', '20.24.0-20.g.1.1', '40.96.0-40.bj.1.2', '80.192.1.?', '96.192.1.?', '160.384.5.?', '240.384.5.?', '480.768.13.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 2, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': True, 'serre_invariants': [[2, 2, 5], [3, 4, 5], [5, 6, 3]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.29086960847710152197363562429', 'prec': 103}, 'szpiro_ratio': 12.794158120001653, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
10. lmfdb_label: 15.a2
    {'Ciso': '15a', 'Clabel': '15a2', 'Cnumber': 2, 'abc_quality': 1.038972011651739, 'absD': 164025, 'adelic_genus': 13, 'adelic_index': 768, 'adelic_level': 240, 'ainvs': [1, 1, 1, -135, -660], 'analytic_rank': 0, 'bad_primes': [3, 5], 'class_deg': 16, 'class_size': 8, 'cm': 0, 'conductor': 15, 'degree': 2, 'elladic_images': ['8.96.0.58'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.055703981802871132734980436436', 'prec': 110}, 'faltings_index': 4, 'faltings_ratio': 8, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [272223782641, 164025], 'lmfdb_iso': '15.a', 'lmfdb_label': '15.a2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -135, -660], 'min_quad_twist_disc': 1, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.24.0-4.b.1.1', '8.96.0-8.k.1.1', '20.48.0-20.c.1.2', '40.192.1-40.cc.2.4', '48.192.1-48.e.2.2', '80.384.5.?', '240.768.13.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 2, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': True, 'serre_invariants': [[2, 2, 1], [3, 4, 5], [5, 6, 3]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.055703981802871132734980436436', 'prec': 110}, 'szpiro_ratio': 9.72282208231094, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
11. lmfdb_label: 15.a3
    {'Ciso': '15a', 'Clabel': '15a6', 'Cnumber': 6, 'abc_quality': 1.0594919023465201, 'absD': 215233605, 'adelic_genus': 13, 'adelic_index': 768, 'adelic_level': 480, 'ainvs': [1, 1, 1, -110, -880], 'analytic_rank': 0, 'bad_primes': [3, 5], 'class_deg': 16, 'class_size': 8, 'cm': 0, 'conductor': 15, 'degree': 4, 'elladic_images': ['16.96.0.153'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.29086960847710152197363562429', 'prec': 103}, 'faltings_index': 6, 'faltings_ratio': 16, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2, 4, 8, 16], 'jinv': [-147281603041, 215233605], 'lmfdb_iso': '15.a', 'lmfdb_label': '15.a3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -110, -880], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.2', '8.48.0-8.ba.2.6', '16.96.0-16.u.2.3', '20.24.0-20.h.1.1', '40.96.0-40.bm.2.4', '80.384.5.?', '96.192.1.?', '480.768.13.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 2, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': True, 'serre_invariants': [[2, 2, 5], [3, 4, 5], [5, 6, 3]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.29086960847710152197363562429', 'prec': 103}, 'szpiro_ratio': 9.961250033812139, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
12. lmfdb_label: 15.a4
    {'Ciso': '15a', 'Clabel': '15a7', 'Cnumber': 7, 'abc_quality': 1.030187200332639, 'absD': 15, 'adelic_genus': 13, 'adelic_index': 768, 'adelic_level': 480, 'ainvs': [1, 1, 1, -80, 242], 'analytic_rank': 0, 'bad_primes': [3, 5], 'class_deg': 16, 'class_size': 8, 'cm': 0, 'conductor': 15, 'degree': 4, 'elladic_images': ['32.96.0.5'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.40227757208284378744359649716', 'prec': 107}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2, 4, 8, 16], 'jinv': [56667352321, 15], 'lmfdb_iso': '15.a', 'lmfdb_label': '15.a4', 'lmfdb_number': 4, 'manin_constant': 2, 'min_quad_twist_ainvs': [1, 1, 1, -80, 242], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.1', '8.24.0-8.n.1.2', '16.48.0-16.g.1.2', '24.48.0-24.by.2.3', '32.96.0-32.e.1.2', '40.48.0-40.cb.2.7', '48.96.0-48.bs.1.1', '60.24.0-60.h.1.3', '80.192.2.?', '96.192.1.?', '120.96.0.?', '160.384.5.?', '240.384.5.?', '480.768.13.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 2, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': True, 'serre_invariants': [[3, 4, 5], [5, 6, 3]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.40227757208284378744359649716', 'prec': 107}, 'szpiro_ratio': 9.143281049575778, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [4]}
13. lmfdb_label: 15.a5
    {'Ciso': '15a', 'Clabel': '15a1', 'Cnumber': 1, 'abc_quality': 1.0253374473912513, 'absD': 50625, 'adelic_genus': 13, 'adelic_index': 768, 'adelic_level': 240, 'ainvs': [1, 1, 1, -10, -10], 'analytic_rank': 0, 'bad_primes': [3, 5], 'class_deg': 16, 'class_size': 8, 'cm': 0, 'conductor': 15, 'degree': 1, 'elladic_images': ['8.96.0.3'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.40227757208284378744359649716', 'prec': 107}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2, 4], 'jinv': [111284641, 50625], 'lmfdb_iso': '15.a', 'lmfdb_label': '15.a5', 'lmfdb_number': 5, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -10, -10], 'min_quad_twist_disc': 1, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.48.0-4.b.1.1', '8.96.0-8.b.2.9', '24.192.1-24.n.1.1', '40.192.1-40.s.1.5', '80.384.5.?', '120.384.5.?', '240.768.13.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 2, 'num_int_pts': 6, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': True, 'serre_invariants': [[2, 2, 1], [3, 4, 5], [5, 6, 3]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.40227757208284378744359649716', 'prec': 107}, 'szpiro_ratio': 6.841675904965247, 'torsion': 8, 'torsion_primes': [2], 'torsion_structure': [2, 4]}
14. lmfdb_label: 15.a6
    {'Ciso': '15a', 'Clabel': '15a3', 'Cnumber': 3, 'abc_quality': 0.9622954410890624, 'absD': 225, 'adelic_genus': 13, 'adelic_index': 768, 'adelic_level': 240, 'ainvs': [1, 1, 1, -5, 2], 'analytic_rank': 0, 'bad_primes': [3, 5], 'class_deg': 16, 'class_size': 8, 'cm': 0, 'conductor': 15, 'degree': 2, 'elladic_images': ['16.96.0.7'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.74885116236281644215221255789', 'prec': 107}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [13997521, 225], 'lmfdb_iso': '15.a', 'lmfdb_label': '15.a6', 'lmfdb_number': 6, 'manin_constant': 2, 'min_quad_twist_ainvs': [1, 1, 1, -5, 2], 'min_quad_twist_disc': 1, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.24.0-4.b.1.3', '8.48.0-8.i.1.10', '16.96.0-16.d.2.3', '24.96.0-24.bb.2.5', '40.96.0-40.bd.1.5', '48.192.1-48.n.1.7', '60.48.0-60.c.1.7', '80.384.5.?', '120.192.1.?', '240.768.13.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 2, 'num_int_pts': 6, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': True, 'serre_invariants': [[2, 2, 1], [3, 4, 5], [5, 6, 3]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.74885116236281644215221255789', 'prec': 107}, 'szpiro_ratio': 6.076102575120219, 'torsion': 8, 'torsion_primes': [2], 'torsion_structure': [2, 4]}
15. lmfdb_label: 15.a7
    {'Ciso': '15a', 'Clabel': '15a8', 'Cnumber': 8, 'abc_quality': 1.1980768440515948, 'absD': 15, 'adelic_genus': 13, 'adelic_index': 768, 'adelic_level': 480, 'ainvs': [1, 1, 1, 0, 0], 'analytic_rank': 0, 'bad_primes': [3, 5], 'class_deg': 16, 'class_size': 8, 'cm': 0, 'conductor': 15, 'degree': 4, 'elladic_images': ['32.96.0.5'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-1.0954247526427890968608286186', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2, 4, 8, 16], 'jinv': [-1, 15], 'lmfdb_iso': '15.a', 'lmfdb_label': '15.a7', 'lmfdb_number': 7, 'manin_constant': 4, 'min_quad_twist_ainvs': [1, 1, 1, 0, 0], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.1', '8.24.0-8.n.1.2', '16.48.0-16.g.1.2', '24.48.0-24.bz.1.3', '30.6.0.a.1', '32.96.0-32.e.1.2', '40.48.0-40.cb.2.7', '48.96.0-48.bv.1.3', '60.24.0-60.g.1.3', '80.192.2.?', '96.192.1.?', '120.96.0.?', '160.384.5.?', '240.384.5.?', '480.768.13.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 2, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': True, 'serre_invariants': [[3, 4, 5], [5, 6, 3]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.0954247526427890968608286186', 'prec': 103}, 'szpiro_ratio': 3.7528140083343127, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [4]}
16. lmfdb_label: 15.a8
    {'Ciso': '15a', 'Clabel': '15a4', 'Cnumber': 4, 'abc_quality': 1.0558519748642754, 'absD': 3515625, 'adelic_genus': 13, 'adelic_index': 768, 'adelic_level': 480, 'ainvs': [1, 1, 1, 35, -28], 'analytic_rank': 0, 'bad_primes': [3, 5], 'class_deg': 16, 'class_size': 8, 'cm': 0, 'conductor': 15, 'degree': 2, 'elladic_images': ['8.96.0.99'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.055703981802871132734980436435', 'prec': 110}, 'faltings_index': 5, 'faltings_ratio': 8, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [4733169839, 3515625], 'lmfdb_iso': '15.a', 'lmfdb_label': '15.a8', 'lmfdb_number': 8, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, 35, -28], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.24.0-4.d.1.1', '8.96.0-8.n.2.5', '24.192.1-24.cv.2.2', '80.192.1.?', '160.384.5.?', '240.384.5.?', '480.768.13.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 2, 'num_int_pts': 6, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': True, 'serre_invariants': [[2, 2, 1], [3, 4, 5], [5, 6, 3]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.055703981802871132734980436435', 'prec': 110}, 'szpiro_ratio': 8.226531754162185, 'torsion': 8, 'torsion_primes': [2], 'torsion_structure': [8]}
17. lmfdb_label: 17.a1
    {'Ciso': '17a', 'Clabel': '17a3', 'Cnumber': 3, 'abc_quality': 1.0313050753900588, 'absD': 17, 'adelic_genus': 53, 'adelic_index': 1536, 'adelic_level': 1088, 'ainvs': [1, -1, 1, -91, -310], 'analytic_rank': 0, 'bad_primes': [17], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 17, 'degree': 4, 'elladic_images': ['32.96.0.18'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.37663612094134348095743300423', 'prec': 107}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2, 4], 'jinv': [82483294977, 17], 'lmfdb_iso': '17.a', 'lmfdb_label': '17.a1', 'lmfdb_number': 1, 'manin_constant': 2, 'min_quad_twist_ainvs': [1, -1, 1, -91, -310], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.2', '8.24.0-8.o.1.3', '16.48.0-16.j.1.3', '32.96.0-32.f.2.1', '34.6.0.a.1', '68.24.0-68.g.1.1', '136.96.0.?', '272.384.7.?', '544.768.21.?', '1088.1536.53.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 1, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': True, 'serre_invariants': [[17, 18, 1]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.37663612094134348095743300423', 'prec': 107}, 'szpiro_ratio': 8.871856289039895, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
18. lmfdb_label: 17.a2
    {'Ciso': '17a', 'Clabel': '17a2', 'Cnumber': 2, 'abc_quality': 1.0296285559493121, 'absD': 289, 'adelic_genus': 53, 'adelic_index': 1536, 'adelic_level': 544, 'ainvs': [1, -1, 1, -6, -4], 'analytic_rank': 0, 'bad_primes': [17], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 17, 'degree': 2, 'elladic_images': ['16.96.0.13'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.72320971122131613566604906496', 'prec': 107}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2], 'jinv': [20346417, 289], 'lmfdb_iso': '17.a', 'lmfdb_label': '17.a2', 'lmfdb_number': 2, 'manin_constant': 2, 'min_quad_twist_ainvs': [1, -1, 1, -6, -4], 'min_quad_twist_disc': 1, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.24.0-4.a.1.1', '8.48.0-8.f.1.1', '16.96.0-16.c.2.2', '68.48.0-68.b.1.1', '136.192.3.?', '272.768.21.?', '544.1536.53.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 1, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': True, 'serre_invariants': [[2, 2, 1], [17, 18, 1]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.72320971122131613566604906496', 'prec': 107}, 'szpiro_ratio': 5.93969226527156, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
19. lmfdb_label: 17.a3
    {'Ciso': '17a', 'Clabel': '17a1', 'Cnumber': 1, 'abc_quality': 1.1807067659885138, 'absD': 83521, 'adelic_genus': 53, 'adelic_index': 1536, 'adelic_level': 1088, 'ainvs': [1, -1, 1, -1, -14], 'analytic_rank': 0, 'bad_primes': [17], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 17, 'degree': 1, 'elladic_images': ['16.96.0.32'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.37663612094134348095743300423', 'prec': 107}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2, 4], 'jinv': [-35937, 83521], 'lmfdb_iso': '17.a', 'lmfdb_label': '17.a3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 1, -1, -14], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.24.0-4.d.1.1', '8.48.0-8.t.1.2', '16.96.0-16.m.2.1', '136.96.1.?', '272.384.9.?', '544.768.21.?', '1088.1536.53.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 1, 'num_int_pts': 2, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': True, 'serre_invariants': [[2, 2, 1], [17, 18, 1]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.37663612094134348095743300423', 'prec': 107}, 'szpiro_ratio': 6.631276933576505, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [4]}
20. lmfdb_label: 17.a4
    {'Ciso': '17a', 'Clabel': '17a4', 'Cnumber': 4, 'abc_quality': 1.024323072883995, 'absD': 17, 'adelic_genus': 53, 'adelic_index': 1536, 'adelic_level': 1088, 'ainvs': [1, -1, 1, -1, 0], 'analytic_rank': 0, 'bad_primes': [17], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 17, 'degree': 4, 'elladic_images': ['32.96.0.10'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-1.0697833015012887903746651257', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2, 4], 'jinv': [35937, 17], 'lmfdb_iso': '17.a', 'lmfdb_label': '17.a4', 'lmfdb_number': 4, 'manin_constant': 4, 'min_quad_twist_ainvs': [1, -1, 1, -1, 0], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.1', '8.24.0-8.o.1.1', '16.48.0-16.j.1.1', '32.96.0-32.f.2.2', '34.6.0.a.1', '68.24.0-68.g.1.2', '136.96.0.?', '272.384.7.?', '544.768.21.?', '1088.1536.53.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 1, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': True, 'serre_invariants': [[17, 18, 1]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.0697833015012887903746651257', 'prec': 103}, 'szpiro_ratio': 3.7023412678771113, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [4]}
21. lmfdb_label: 19.a1
    {'Ciso': '19a', 'Clabel': '19a2', 'Cnumber': 2, 'abc_quality': 1.104947099482495, 'absD': 19, 'adelic_genus': 43, 'adelic_index': 1296, 'adelic_level': 1026, 'ainvs': [0, 1, 1, -769, -8470], 'analytic_rank': 0, 'bad_primes': [19], 'class_deg': 9, 'class_size': 3, 'cm': 0, 'conductor': 19, 'degree': 3, 'elladic_images': ['27.72.0.2'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.033439156991317803520094883584', 'prec': 107}, 'faltings_index': 2, 'faltings_ratio': 9, 'iso_nlabel': 0, 'isogeny_degrees': [1, 3, 9], 'jinv': [-50357871050752, 19], 'lmfdb_iso': '19.a', 'lmfdb_label': '19.a1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 1, -769, -8470], 'min_quad_twist_disc': 1, 'modell_images': ['3B.1.2'], 'modm_images': ['3.8.0-3.a.1.1', '9.24.0-9.a.1.1', '27.72.0-27.a.1.1', '38.2.0.a.1', '114.16.0.?', '171.72.0.?', '342.144.3.?', '513.648.16.?', '1026.1296.43.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 1, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': True, 'serre_invariants': [[19, 20, 1]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.033439156991317803520094883584', 'prec': 107}, 'szpiro_ratio': 10.715174019054395, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
22. lmfdb_label: 19.a2
    {'Ciso': '19a', 'Clabel': '19a1', 'Cnumber': 1, 'abc_quality': 1.0331037033479094, 'absD': 6859, 'adelic_genus': 43, 'adelic_index': 1296, 'adelic_level': 1026, 'ainvs': [0, 1, 1, -9, -15], 'analytic_rank': 0, 'bad_primes': [19], 'class_deg': 9, 'class_size': 3, 'cm': 0, 'conductor': 19, 'degree': 1, 'elladic_images': ['9.72.0.3'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.51586698734273704217752773488', 'prec': 107}, 'faltings_index': 1, 'faltings_ratio': 3, 'iso_nlabel': 0, 'isogeny_degrees': [1, 3], 'jinv': [-89915392, 6859], 'lmfdb_iso': '19.a', 'lmfdb_label': '19.a2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 1, -9, -15], 'min_quad_twist_disc': 1, 'modell_images': ['3Cs.1.1'], 'modm_images': ['3.24.0-3.a.1.1', '9.72.0-9.b.1.1', '38.2.0.a.1', '114.48.1.?', '171.216.4.?', '342.432.13.?', '513.648.16.?', '1026.1296.43.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 1, 'num_int_pts': 2, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': True, 'serre_invariants': [[3, 2, 1], [19, 20, 1]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.51586698734273704217752773488', 'prec': 107}, 'szpiro_ratio': 6.262043087240102, 'torsion': 3, 'torsion_primes': [3], 'torsion_structure': [3]}
23. lmfdb_label: 19.a3
    {'Ciso': '19a', 'Clabel': '19a3', 'Cnumber': 3, 'abc_quality': 1.3175706029138485, 'absD': 19, 'adelic_genus': 43, 'adelic_index': 1296, 'adelic_level': 1026, 'ainvs': [0, 1, 1, 1, 0], 'analytic_rank': 0, 'bad_primes': [19], 'class_deg': 9, 'class_size': 3, 'cm': 0, 'conductor': 19, 'degree': 3, 'elladic_images': ['27.72.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-1.0651731316767918878751503533', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 0, 'isogeny_degrees': [1, 3, 9], 'jinv': [32768, 19], 'lmfdb_iso': '19.a', 'lmfdb_label': '19.a3', 'lmfdb_number': 3, 'manin_constant': 3, 'min_quad_twist_ainvs': [0, 1, 1, 1, 0], 'min_quad_twist_disc': 1, 'modell_images': ['3B.1.1'], 'modm_images': ['3.8.0-3.a.1.2', '9.24.0-9.a.1.2', '27.72.0-27.a.1.2', '38.2.0.a.1', '114.16.0.?', '171.72.0.?', '342.144.3.?', '513.648.16.?', '1026.1296.43.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 1, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': True, 'serre_invariants': [[19, 20, 1]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.0651731316767918878751503533', 'prec': 103}, 'szpiro_ratio': 3.5311337004995735, 'torsion': 3, 'torsion_primes': [3], 'torsion_structure': [3]}
24. lmfdb_label: 20.a1
    {'Ciso': '20a', 'Clabel': '20a4', 'Cnumber': 4, 'abc_quality': 1.073761143790618, 'absD': 2000, 'adelic_genus': 9, 'adelic_index': 384, 'adelic_level': 120, 'ainvs': [0, 1, 0, -41, -116], 'analytic_rank': 0, 'bad_primes': [2, 5], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 20, 'degree': 6, 'elladic_images': ['8.12.0.22', '3.8.0.2'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.38064395118146512547640346211', 'prec': 107}, 'faltings_index': 2, 'faltings_ratio': 3, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [488095744, 125], 'lmfdb_iso': '20.a', 'lmfdb_label': '20.a1', 'lmfdb_number': 1, 'manin_constant': 2, 'min_quad_twist_ainvs': [0, 1, 0, -41, -116], 'min_quad_twist_disc': 1, 'modell_images': ['2B', '3B.1.2'], 'modm_images': ['2.3.0.a.1', '3.8.0-3.a.1.1', '4.6.0.b.1', '6.24.0-6.a.1.2', '8.12.0-4.b.1.2', '10.6.0.a.1', '12.48.0-12.f.1.6', '20.24.0.e.1', '24.96.0-24.bq.2.3', '30.48.0-30.a.1.2', '40.48.0-20.e.1.6', '60.192.3-60.bk.1.6', '120.384.9.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 2, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 5], [3, 2, 4], [5, 6, 4]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.61169301136811356194881416926', 'prec': 107}, 'szpiro_ratio': 7.6036871066956255, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
25. lmfdb_label: 20.a2
    {'Ciso': '20a', 'Clabel': '20a3', 'Cnumber': 3, 'abc_quality': 0.9589363178944194, 'absD': 4000000, 'adelic_genus': 9, 'adelic_index': 384, 'adelic_level': 120, 'ainvs': [0, 1, 0, -36, -140], 'analytic_rank': 0, 'bad_primes': [2, 5], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 20, 'degree': 3, 'elladic_images': ['8.12.0.37', '3.8.0.2'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.034070360901492470767787401385', 'prec': 110}, 'faltings_index': 3, 'faltings_ratio': 6, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [-20720464, 15625], 'lmfdb_iso': '20.a', 'lmfdb_label': '20.a2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -36, -140], 'min_quad_twist_disc': 1, 'modell_images': ['2B', '3B.1.2'], 'modm_images': ['2.3.0.a.1', '3.8.0-3.a.1.1', '4.6.0.a.1', '6.24.0-6.a.1.2', '8.12.0-4.a.1.1', '12.48.0-12.d.1.5', '20.12.0.d.1', '24.96.0-24.bh.2.16', '40.48.0-40.bc.1.1', '60.96.1-60.h.1.12', '120.384.9.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 2, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 1], [3, 2, 4], [5, 6, 4]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.49616848127478934371260881569', 'prec': 107}, 'szpiro_ratio': 7.753045399967751, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
26. lmfdb_label: 20.a3
    {'Ciso': '20a', 'Clabel': '20a2', 'Cnumber': 2, 'abc_quality': 0.9562146657916117, 'absD': 80, 'adelic_genus': 9, 'adelic_index': 384, 'adelic_level': 120, 'ainvs': [0, 1, 0, -1, 0], 'analytic_rank': 0, 'bad_primes': [2, 5], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 20, 'degree': 2, 'elladic_images': ['8.12.0.22', '3.8.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.92995009551551997117402608057', 'prec': 107}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [16384, 5], 'lmfdb_iso': '20.a', 'lmfdb_label': '20.a3', 'lmfdb_number': 3, 'manin_constant': 2, 'min_quad_twist_ainvs': [0, 1, 0, -1, 0], 'min_quad_twist_disc': 1, 'modell_images': ['2B', '3B.1.1'], 'modm_images': ['2.3.0.a.1', '3.8.0-3.a.1.2', '4.6.0.b.1', '6.24.0-6.a.1.4', '8.12.0-4.b.1.2', '10.6.0.a.1', '12.48.0-12.f.1.8', '20.24.0.e.1', '24.96.0-24.bq.1.2', '30.48.0-30.a.1.4', '40.48.0-20.e.1.6', '60.192.3-60.bk.1.8', '120.384.9.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 2, 'num_int_pts': 5, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 5], [5, 6, 4]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.1609991557021684076464367877', 'prec': 103}, 'szpiro_ratio': 4.164807836875665, 'torsion': 6, 'torsion_primes': [2, 3], 'torsion_structure': [6]}
27. lmfdb_label: 20.a4
    {'Ciso': '20a', 'Clabel': '20a1', 'Cnumber': 1, 'abc_quality': 0.8396384887826309, 'absD': 6400, 'adelic_genus': 9, 'adelic_index': 384, 'adelic_level': 120, 'ainvs': [0, 1, 0, 4, 4], 'analytic_rank': 0, 'bad_primes': [2, 5], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 20, 'degree': 1, 'elladic_images': ['8.12.0.37', '3.8.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.58337650523554731646541001985', 'prec': 107}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [21296, 25], 'lmfdb_iso': '20.a', 'lmfdb_label': '20.a4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, 4, 4], 'min_quad_twist_disc': 1, 'modell_images': ['2B', '3B.1.1'], 'modm_images': ['2.3.0.a.1', '3.8.0-3.a.1.2', '4.6.0.a.1', '6.24.0-6.a.1.4', '8.12.0-4.a.1.1', '12.48.0-12.d.1.11', '20.12.0.d.1', '24.96.0-24.bh.1.8', '40.48.0-40.bc.1.1', '60.96.1-60.h.1.7', '120.384.9.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 2, 'num_int_pts': 5, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 1], [5, 6, 4]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.0454746256088441894102314342', 'prec': 103}, 'szpiro_ratio': 5.18724658047375, 'torsion': 6, 'torsion_primes': [2, 3], 'torsion_structure': [6]}
28. lmfdb_label: 21.a1
    {'Ciso': '21a', 'Clabel': '21a5', 'Cnumber': 5, 'abc_quality': 1.0508747826837916, 'absD': 147, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 336, 'ainvs': [1, 0, 0, -784, -8515], 'analytic_rank': 0, 'bad_primes': [3, 7], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 21, 'degree': 4, 'elladic_images': ['16.48.0.48'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.074205383390939770758265854672', 'prec': 107}, 'faltings_index': 5, 'faltings_ratio': 8, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [53297461115137, 147], 'lmfdb_iso': '21.a', 'lmfdb_label': '21.a1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -784, -8515], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.2', '8.24.0-8.n.1.6', '12.24.0-12.h.1.1', '16.48.0-16.e.2.5', '24.48.0-24.bl.1.1', '48.96.0-48.y.1.2', '56.48.0-56.bu.1.11', '112.96.0.?', '168.96.0.?', '336.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 2, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': True, 'serre_invariants': [[2, 2, 3], [3, 4, 7], [7, 8, 3]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.074205383390939770758265854672', 'prec': 107}, 'szpiro_ratio': 10.381565732764942, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
29. lmfdb_label: 21.a2
    {'Ciso': '21a', 'Clabel': '21a2', 'Cnumber': 2, 'abc_quality': 1.0814902740568197, 'absD': 21609, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 168, 'ainvs': [1, 0, 0, -49, -136], 'analytic_rank': 0, 'bad_primes': [3, 7], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 21, 'degree': 2, 'elladic_images': ['8.48.0.34'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.27236820688903288395035020606', 'prec': 107}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2, 4], 'jinv': [13027640977, 21609], 'lmfdb_iso': '21.a', 'lmfdb_label': '21.a2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -49, -136], 'min_quad_twist_disc': 1, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.24.0-4.b.1.1', '8.48.0-8.e.1.1', '12.48.0-12.c.1.3', '24.96.0-24.j.2.5', '56.96.0-56.u.1.2', '168.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 2, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': True, 'serre_invariants': [[2, 2, 1], [3, 4, 7], [7, 8, 3]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.27236820688903288395035020606', 'prec': 107}, 'szpiro_ratio': 7.649915427654956, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
30. lmfdb_label: 21.a3
    {'Ciso': '21a', 'Clabel': '21a3', 'Cnumber': 3, 'abc_quality': 1.0015974661127929, 'absD': 45927, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 336, 'ainvs': [1, 0, 0, -39, 90], 'analytic_rank': 0, 'bad_primes': [3, 7], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 21, 'degree': 2, 'elladic_images': ['8.48.0.159'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.27236820688903288395035020606', 'prec': 107}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [6570725617, 45927], 'lmfdb_iso': '21.a', 'lmfdb_label': '21.a3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -39, 90], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.1', '8.48.0-8.bb.1.1', '28.24.0-28.h.1.2', '48.96.0-48.bf.1.3', '56.96.0-56.bl.2.5', '336.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 2, 'num_int_pts': 6, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': True, 'serre_invariants': [[2, 2, 7], [3, 4, 7], [7, 8, 3]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.27236820688903288395035020606', 'prec': 107}, 'szpiro_ratio': 7.42510215304443, 'torsion': 8, 'torsion_primes': [2], 'torsion_structure': [8]}
31. lmfdb_label: 21.a4
    {'Ciso': '21a', 'Clabel': '21a6', 'Cnumber': 6, 'abc_quality': 1.042661241253942, 'absD': 17294403, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 336, 'ainvs': [1, 0, 0, -34, -217], 'analytic_rank': 0, 'bad_primes': [3, 7], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 21, 'degree': 4, 'elladic_images': ['8.48.0.177'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.074205383390939770758265854672', 'prec': 107}, 'faltings_index': 4, 'faltings_ratio': 8, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [-4354703137, 17294403], 'lmfdb_iso': '21.a', 'lmfdb_label': '21.a4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -34, -217], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.2', '6.6.0.a.1', '8.48.0-8.bb.2.3', '12.24.0-12.g.1.1', '24.96.0-24.bj.1.1', '112.96.0.?', '336.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 2, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': True, 'serre_invariants': [[2, 2, 3], [3, 4, 7], [7, 8, 3]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.074205383390939770758265854672', 'prec': 107}, 'szpiro_ratio': 7.967306624104166, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
32. lmfdb_label: 21.a5
    {'Ciso': '21a', 'Clabel': '21a1', 'Cnumber': 1, 'abc_quality': 1.1486166056524132, 'absD': 3969, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 168, 'ainvs': [1, 0, 0, -4, -1], 'analytic_rank': 0, 'bad_primes': [3, 7], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 21, 'degree': 1, 'elladic_images': ['8.48.0.24'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.61894179716900553865896626679', 'prec': 107}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2, 4], 'jinv': [7189057, 3969], 'lmfdb_iso': '21.a', 'lmfdb_label': '21.a5', 'lmfdb_number': 5, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -4, -1], 'min_quad_twist_disc': 1, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.24.0-4.b.1.3', '8.48.0-8.e.2.2', '24.96.0-24.w.2.6', '28.48.0-28.c.1.1', '56.96.0-56.i.1.1', '168.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 2, 'num_int_pts': 6, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': True, 'serre_invariants': [[2, 2, 1], [3, 4, 7], [7, 8, 3]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.61894179716900553865896626679', 'prec': 107}, 'szpiro_ratio': 5.185729745687264, 'torsion': 8, 'torsion_primes': [2], 'torsion_structure': [2, 4]}
33. lmfdb_label: 21.a6
    {'Ciso': '21a', 'Clabel': '21a4', 'Cnumber': 4, 'abc_quality': 0.9786808587681587, 'absD': 63, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 336, 'ainvs': [1, 0, 0, 1, 0], 'analytic_rank': 0, 'bad_primes': [3, 7], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 21, 'degree': 2, 'elladic_images': ['16.48.0.27'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.96551538744897819336758232752', 'prec': 107}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [103823, 63], 'lmfdb_iso': '21.a', 'lmfdb_label': '21.a6', 'lmfdb_number': 6, 'manin_constant': 2, 'min_quad_twist_ainvs': [1, 0, 0, 1, 0], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.1', '8.24.0-8.n.1.2', '14.6.0.b.1', '16.48.0-16.e.1.2', '24.48.0-24.bz.1.3', '28.24.0-28.g.1.2', '48.96.0-48.bd.1.3', '56.48.0-56.bf.1.9', '112.96.0.?', '168.96.0.?', '336.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 2, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': True, 'serre_invariants': [[2, 2, 7], [3, 4, 7], [7, 8, 3]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.96551538744897819336758232752', 'prec': 107}, 'szpiro_ratio': 3.793843875812311, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [4]}
34. lmfdb_label: 24.a1
    {'Ciso': '24a', 'Clabel': '24a5', 'Cnumber': 5, 'abc_quality': 1.2105879594055395, 'absD': 18432, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 48, 'ainvs': [0, -1, 0, -384, -2772], 'analytic_rank': 0, 'bad_primes': [2, 3], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 24, 'degree': 4, 'elladic_images': ['16.96.0.135'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.047794894480088036758221444632', 'prec': 107}, 'faltings_index': 4, 'faltings_ratio': 8, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [3065617154, 9], 'lmfdb_iso': '24.a', 'lmfdb_label': '24.a1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -384, -2772], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.2', '8.48.0-8.r.1.6', '16.96.0-16.l.1.6', '24.96.0-24.bf.1.4', '48.192.1-48.bv.1.4'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 2, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 1], [3, 4, 8]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.58759002103319516354090800004', 'prec': 107}, 'szpiro_ratio': 9.272383446160896, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
35. lmfdb_label: 24.a2
    {'Ciso': '24a', 'Clabel': '24a3', 'Cnumber': 3, 'abc_quality': 1.0561716345991692, 'absD': 3072, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 48, 'ainvs': [0, -1, 0, -64, 220], 'analytic_rank': 0, 'bad_primes': [2, 3], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 24, 'degree': 2, 'elladic_images': ['16.96.0.106'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.29877869579988461795039461610', 'prec': 107}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [28756228, 3], 'lmfdb_iso': '24.a', 'lmfdb_label': '24.a2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -64, 220], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.1', '8.48.0-8.bb.2.4', '12.24.0-12.h.1.2', '16.96.0-16.bb.2.4', '24.96.0-24.bn.1.3', '48.192.1-48.em.1.4'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 2, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 3], [3, 4, 8]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.87640134626650570913142138398', 'prec': 107}, 'szpiro_ratio': 7.585093903458143, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [4]}
36. lmfdb_label: 24.a3
    {'Ciso': '24a', 'Clabel': '24a2', 'Cnumber': 2, 'abc_quality': 1.0321229303519712, 'absD': 82944, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 24, 'ainvs': [0, -1, 0, -24, -36], 'analytic_rank': 0, 'bad_primes': [2, 3], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 24, 'degree': 2, 'elladic_images': ['8.96.0.49'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.29877869579988461795039461610', 'prec': 107}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2, 4], 'jinv': [1556068, 81], 'lmfdb_iso': '24.a', 'lmfdb_label': '24.a3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -24, -36], 'min_quad_twist_disc': 1, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.24.0-4.b.1.1', '8.96.0-8.e.2.2', '24.192.1-24.bl.2.4'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 2, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 1], [3, 4, 8]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.87640134626650570913142138398', 'prec': 107}, 'szpiro_ratio': 6.667333412613923, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
37. lmfdb_label: 24.a4
    {'Ciso': '24a', 'Clabel': '24a1', 'Cnumber': 1, 'abc_quality': 0.972547111469975, 'absD': 2304, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 24, 'ainvs': [0, -1, 0, -4, 4], 'analytic_rank': 0, 'bad_primes': [2, 3], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 24, 'degree': 1, 'elladic_images': ['8.96.0.42'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.64535228607985727265901067683', 'prec': 107}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2, 4], 'jinv': [35152, 9], 'lmfdb_iso': '24.a', 'lmfdb_label': '24.a4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -4, 4], 'min_quad_twist_disc': 1, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.24.0-4.b.1.3', '8.96.0-8.h.1.6', '12.48.0-12.c.1.1', '24.192.1-24.bu.1.7'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 2, 'num_int_pts': 7, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 1], [3, 4, 8]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.1074504064531541456038320911', 'prec': 103}, 'szpiro_ratio': 5.038496858107288, 'torsion': 8, 'torsion_primes': [2], 'torsion_structure': [2, 4]}
38. lmfdb_label: 24.a5
    {'Ciso': '24a', 'Clabel': '24a4', 'Cnumber': 4, 'abc_quality': 1.1757189916348774, 'absD': 48, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 48, 'ainvs': [0, -1, 0, 1, 0], 'analytic_rank': 0, 'bad_primes': [2, 3], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 24, 'degree': 2, 'elladic_images': ['16.96.0.110'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.99192587635982992736762673756', 'prec': 107}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [2048, 3], 'lmfdb_iso': '24.a', 'lmfdb_label': '24.a5', 'lmfdb_number': 5, 'manin_constant': 2, 'min_quad_twist_ainvs': [0, -1, 0, 1, 0], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.1', '6.6.0.a.1', '8.48.0-8.ba.1.2', '12.24.0-12.g.1.2', '16.96.0-16.y.1.2', '24.96.0-24.bi.2.3', '48.192.1-48.dt.1.4'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 2, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 3], [3, 4, 8]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.2229749365464783638400374447', 'prec': 103}, 'szpiro_ratio': 3.4056352351102572, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [4]}
39. lmfdb_label: 24.a6
    {'Ciso': '24a', 'Clabel': '24a6', 'Cnumber': 6, 'abc_quality': 1.1597991410868231, 'absD': 13436928, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 48, 'ainvs': [0, -1, 0, 16, -180], 'analytic_rank': 0, 'bad_primes': [2, 3], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 24, 'degree': 4, 'elladic_images': ['8.96.0.166'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.047794894480088036758221444632', 'prec': 107}, 'faltings_index': 5, 'faltings_ratio': 8, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [207646, 6561], 'lmfdb_iso': '24.a', 'lmfdb_label': '24.a6', 'lmfdb_number': 6, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, 16, -180], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.2', '8.96.0-8.m.1.2', '48.192.1-48.w.2.4'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 2, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 1], [3, 4, 8]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.58759002103319516354090800004', 'prec': 107}, 'szpiro_ratio': 7.504514900845317, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
40. lmfdb_label: 26.a1
    {'Ciso': '26a', 'Clabel': '26a2', 'Cnumber': 2, 'abc_quality': 1.0219339430875438, 'absD': 6656, 'adelic_genus': 3, 'adelic_index': 144, 'adelic_level': 936, 'ainvs': [1, 0, 1, -460, -3830], 'analytic_rank': 0, 'bad_primes': [2, 13], 'class_deg': 9, 'class_size': 3, 'cm': 0, 'conductor': 26, 'degree': 6, 'elladic_images': ['9.24.0.3'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.054386426133376655773210510687', 'prec': 107}, 'faltings_index': 2, 'faltings_ratio': 9, 'iso_nlabel': 0, 'isogeny_degrees': [1, 3, 9], 'jinv': [-10730978619193, 6656], 'lmfdb_iso': '26.a', 'lmfdb_label': '26.a1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -460, -3830], 'min_quad_twist_disc': 1, 'modell_images': ['3B.1.2'], 'modm_images': ['3.8.0-3.a.1.1', '9.24.0-9.a.1.1', '104.2.0.?', '117.72.0.?', '312.16.0.?', '936.144.3.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 2, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': True, 'serre_invariants': [[2, 4, 13], [3, 2, 13], [13, 14, 2]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.054386426133376655773210510687', 'prec': 107}, 'szpiro_ratio': 9.209106174142823, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
41. lmfdb_label: 26.a2
    {'Ciso': '26a', 'Clabel': '26a1', 'Cnumber': 1, 'abc_quality': 0.947172997962475, 'absD': 17576, 'adelic_genus': 3, 'adelic_index': 144, 'adelic_level': 936, 'ainvs': [1, 0, 1, -5, -8], 'analytic_rank': 0, 'bad_primes': [2, 13], 'class_deg': 9, 'class_size': 3, 'cm': 0, 'conductor': 26, 'degree': 2, 'elladic_images': ['3.24.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.49491971820067818992441210777', 'prec': 107}, 'faltings_index': 1, 'faltings_ratio': 3, 'iso_nlabel': 0, 'isogeny_degrees': [1, 3], 'jinv': [-10218313, 17576], 'lmfdb_iso': '26.a', 'lmfdb_label': '26.a2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -5, -8], 'min_quad_twist_disc': 1, 'modell_images': ['3Cs.1.1'], 'modm_images': ['3.24.0-3.a.1.1', '104.2.0.?', '117.72.0.?', '312.48.1.?', '936.144.3.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 2, 'num_int_pts': 2, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': True, 'serre_invariants': [[2, 4, 13], [3, 2, 1], [13, 14, 2]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.49491971820067818992441210777', 'prec': 107}, 'szpiro_ratio': 5.377073159063485, 'torsion': 3, 'torsion_primes': [3], 'torsion_structure': [3]}
42. lmfdb_label: 26.a3
    {'Ciso': '26a', 'Clabel': '26a3', 'Cnumber': 3, 'abc_quality': 0.8441470072585473, 'absD': 26, 'adelic_genus': 3, 'adelic_index': 144, 'adelic_level': 936, 'ainvs': [1, 0, 1, 0, 0], 'analytic_rank': 0, 'bad_primes': [2, 13], 'class_deg': 9, 'class_size': 3, 'cm': 0, 'conductor': 26, 'degree': 6, 'elladic_images': ['9.24.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-1.0442258625347330356220347262', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 0, 'isogeny_degrees': [1, 3, 9], 'jinv': [12167, 26], 'lmfdb_iso': '26.a', 'lmfdb_label': '26.a3', 'lmfdb_number': 3, 'manin_constant': 3, 'min_quad_twist_ainvs': [1, 0, 1, 0, 0], 'min_quad_twist_disc': 1, 'modell_images': ['3B.1.1'], 'modm_images': ['3.8.0-3.a.1.2', '9.24.0-9.a.1.2', '104.2.0.?', '117.72.0.?', '312.16.0.?', '936.144.3.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 2, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': True, 'serre_invariants': [[2, 4, 13], [13, 14, 2]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.0442258625347330356220347262', 'prec': 103}, 'szpiro_ratio': 3.191125229470748, 'torsion': 3, 'torsion_primes': [3], 'torsion_structure': [3]}
43. lmfdb_label: 26.b1
    {'Ciso': '26b', 'Clabel': '26b2', 'Cnumber': 2, 'abc_quality': 1.0626891964834324, 'absD': 125497034, 'adelic_genus': 2, 'adelic_index': 96, 'adelic_level': 728, 'ainvs': [1, -1, 1, -213, -1257], 'analytic_rank': 0, 'bad_primes': [2, 13], 'class_deg': 7, 'class_size': 2, 'cm': 0, 'conductor': 26, 'degree': 14, 'elladic_images': ['7.48.0.5'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.28979452610338456519600707002', 'prec': 103}, 'faltings_index': 1, 'faltings_ratio': 7, 'iso_nlabel': 1, 'isogeny_degrees': [1, 7], 'jinv': [-1064019559329, 125497034], 'lmfdb_iso': '26.b', 'lmfdb_label': '26.b1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 1, -213, -1257], 'min_quad_twist_disc': 1, 'modell_images': ['7B.1.3'], 'modm_images': ['7.48.0-7.a.2.2', '104.2.0.?', '728.96.2.?'], 'nonmax_primes': [7], 'nonmax_rad': 7, 'num_bad_primes': 2, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': True, 'serre_invariants': [[2, 4, 13], [7, 2, 2], [13, 14, 2]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.28979452610338456519600707002', 'prec': 103}, 'szpiro_ratio': 8.556703863672293, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
44. lmfdb_label: 26.b2
    {'Ciso': '26b', 'Clabel': '26b1', 'Cnumber': 1, 'abc_quality': 0.96783604338842, 'absD': 1664, 'adelic_genus': 2, 'adelic_index': 96, 'adelic_level': 728, 'ainvs': [1, -1, 1, -3, 3], 'analytic_rank': 0, 'bad_primes': [2, 13], 'class_deg': 7, 'class_size': 2, 'cm': 0, 'conductor': 26, 'degree': 2, 'elladic_images': ['7.48.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.68316054842427208735666930170', 'prec': 107}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 1, 'isogeny_degrees': [1, 7], 'jinv': [-2146689, 1664], 'lmfdb_iso': '26.b', 'lmfdb_label': '26.b2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 1, -3, 3], 'min_quad_twist_disc': 1, 'modell_images': ['7B.1.1'], 'modm_images': ['7.48.0-7.a.1.2', '104.2.0.?', '728.96.2.?'], 'nonmax_primes': [7], 'nonmax_rad': 7, 'num_bad_primes': 2, 'num_int_pts': 6, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': True, 'serre_invariants': [[2, 4, 13], [7, 2, 13], [13, 14, 2]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.68316054842427208735666930170', 'prec': 107}, 'szpiro_ratio': 4.7356960628832425, 'torsion': 7, 'torsion_primes': [7], 'torsion_structure': [7]}
45. lmfdb_label: 27.a1
    {'Ciso': '27a', 'Clabel': '27a2', 'Cnumber': 2, 'abc_quality': 1.23864473399791, 'absD': 177147, 'ainvs': [0, 0, 1, -270, -1708], 'analytic_rank': 0, 'bad_primes': [3], 'class_deg': 27, 'class_size': 4, 'cm': -27, 'conductor': 27, 'degree': 3, 'elladic_images': ['27.648.13.34'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.052147932407099199254187350298', 'prec': 107}, 'faltings_index': 3, 'faltings_ratio': 9, 'iso_nlabel': 0, 'isogeny_degrees': [1, 3, 9, 27], 'jinv': [-12288000, 1], 'lmfdb_iso': '27.a', 'lmfdb_label': '27.a1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 1, -30, 63], 'min_quad_twist_disc': -3, 'modell_images': ['3B.1.2'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 1, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': True, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[3, 4, 1]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.95491333220533468452478745021', 'prec': 107}, 'szpiro_ratio': 8.619664953039187, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
46. lmfdb_label: 27.a2
    {'Ciso': '27a', 'Clabel': '27a4', 'Cnumber': 4, 'abc_quality': 1.23864473399791, 'absD': 243, 'ainvs': [0, 0, 1, -30, 63], 'analytic_rank': 0, 'bad_primes': [3], 'class_deg': 27, 'class_size': 4, 'cm': -27, 'conductor': 27, 'degree': 9, 'elladic_images': ['27.648.13.25'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.49715821192695564644343526816', 'prec': 107}, 'faltings_index': 2, 'faltings_ratio': 3, 'iso_nlabel': 0, 'isogeny_degrees': [1, 3, 9, 27], 'jinv': [-12288000, 1], 'lmfdb_iso': '27.a', 'lmfdb_label': '27.a2', 'lmfdb_number': 2, 'manin_constant': 3, 'min_quad_twist_ainvs': [0, 0, 1, -30, 63], 'min_quad_twist_disc': 1, 'modell_images': ['3B.1.1'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 1, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': True, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[3, 8, 1]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.95491333220533468452478745021', 'prec': 107}, 'szpiro_ratio': 6.619664953039187, 'torsion': 3, 'torsion_primes': [3], 'torsion_structure': [3]}
47. lmfdb_label: 27.a3
    {'Ciso': '27a', 'Clabel': '27a1', 'Cnumber': 1, 'absD': 19683, 'ainvs': [0, 0, 1, 0, -7], 'analytic_rank': 0, 'bad_primes': [3], 'class_deg': 27, 'class_size': 4, 'cm': -3, 'conductor': 27, 'degree': 1, 'elladic_images': ['27.1944.55.37'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.49715821192695564644343526816', 'prec': 107}, 'faltings_index': 1, 'faltings_ratio': 3, 'iso_nlabel': 0, 'isogeny_degrees': [1, 3, 9], 'jinv': [0, 1], 'lmfdb_iso': '27.a', 'lmfdb_label': '27.a3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 1, 0, 0], 'min_quad_twist_disc': -3, 'modell_images': ['3Cs.1.1'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 1, 'num_int_pts': 2, 'optimality': 1, 'potential_good_reduction': True, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[3, 2, 1]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.3211174284280379149898691959', 'prec': 103}, 'szpiro_ratio': 5.261859507142915, 'torsion': 3, 'torsion_primes': [3], 'torsion_structure': [3]}
48. lmfdb_label: 27.a4
    {'Ciso': '27a', 'Clabel': '27a3', 'Cnumber': 3, 'absD': 27, 'ainvs': [0, 0, 1, 0, 0], 'analytic_rank': 0, 'bad_primes': [3], 'class_deg': 27, 'class_size': 4, 'cm': -3, 'conductor': 27, 'degree': 3, 'elladic_images': ['27.1944.55.31'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-1.0464643562610104921410578866', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 0, 'isogeny_degrees': [1, 3, 9], 'jinv': [0, 1], 'lmfdb_iso': '27.a', 'lmfdb_label': '27.a4', 'lmfdb_number': 4, 'manin_constant': 3, 'min_quad_twist_ainvs': [0, 0, 1, 0, 0], 'min_quad_twist_disc': 1, 'modell_images': ['3Cs.1.1'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 1, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': True, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[3, 2, 1]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.3211174284280379149898691958', 'prec': 103}, 'szpiro_ratio': 3.261859507142915, 'torsion': 3, 'torsion_primes': [3], 'torsion_structure': [3]}
49. lmfdb_label: 30.a1
    {'Ciso': '30a', 'Clabel': '30a7', 'Cnumber': 7, 'abc_quality': 1.0818126452233845, 'absD': 81000, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 120, 'ainvs': [1, 0, 1, -5334, -150368], 'analytic_rank': 0, 'bad_primes': [2, 3, 5], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 30, 'degree': 24, 'elladic_images': ['8.12.0.7', '3.8.0.2'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.56416598521635168028924232156', 'prec': 103}, 'faltings_index': 6, 'faltings_ratio': 12, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2, 3, 4, 6, 12], 'jinv': [16778985534208729, 81000], 'lmfdb_iso': '30.a', 'lmfdb_label': '30.a1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -5334, -150368], 'min_quad_twist_disc': 1, 'modell_images': ['2B', '3B.1.2'], 'modm_images': ['2.3.0.a.1', '3.8.0-3.a.1.1', '4.6.0.c.1', '6.24.0-6.a.1.2', '8.12.0-4.c.1.3', '12.48.0-12.g.1.10', '20.12.0-4.c.1.1', '24.192.1-24.dj.3.8', '40.24.0-40.v.1.4', '60.96.0-60.c.3.12', '120.384.5.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': True, 'serre_invariants': [[2, 4, 5], [3, 4, 1], [5, 6, 6]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.56416598521635168028924232156', 'prec': 103}, 'szpiro_ratio': 10.984044571686695, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
50. lmfdb_label: 30.a2
    {'Ciso': '30a', 'Clabel': '30a8', 'Cnumber': 8, 'abc_quality': 1.1359972360691755, 'absD': 5859375000, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 120, 'ainvs': [1, 0, 1, -454, -544], 'analytic_rank': 0, 'bad_primes': [2, 3, 5], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 30, 'degree': 24, 'elladic_images': ['8.12.0.8', '3.8.0.2'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.56416598521635168028924232156', 'prec': 103}, 'faltings_index': 7, 'faltings_ratio': 12, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2, 3, 4, 6, 12], 'jinv': [10316097499609, 5859375000], 'lmfdb_iso': '30.a', 'lmfdb_label': '30.a2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -454, -544], 'min_quad_twist_disc': 1, 'modell_images': ['2B', '3B.1.2'], 'modm_images': ['2.3.0.a.1', '3.8.0-3.a.1.1', '4.6.0.c.1', '6.24.0-6.a.1.2', '8.12.0-4.c.1.4', '12.96.0-12.c.3.3', '24.192.1-24.da.1.4', '40.24.0-40.bb.1.14', '120.384.5.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': True, 'serre_invariants': [[2, 4, 3], [3, 4, 1], [5, 6, 6]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.56416598521635168028924232156', 'prec': 103}, 'szpiro_ratio': 8.810052252997776, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
51. lmfdb_label: 30.a3
    {'Ciso': '30a', 'Clabel': '30a6', 'Cnumber': 6, 'abc_quality': 1.0522127879225598, 'absD': 9000000, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 120, 'ainvs': [1, 0, 1, -334, -2368], 'analytic_rank': 0, 'bad_primes': [2, 3, 5], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 30, 'degree': 12, 'elladic_images': ['8.12.0.1', '3.8.0.2'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.21759239493637902558062626083', 'prec': 103}, 'faltings_index': 5, 'faltings_ratio': 6, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [4102915888729, 9000000], 'lmfdb_iso': '30.a', 'lmfdb_label': '30.a3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -334, -2368], 'min_quad_twist_disc': 1, 'modell_images': ['2Cs', '3B.1.2'], 'modm_images': ['2.6.0.a.1', '3.8.0-3.a.1.1', '6.48.0-6.a.1.2', '8.12.0-2.a.1.1', '12.96.0-12.a.1.15', '20.12.0-2.a.1.1', '24.192.1-24.cp.2.4', '40.24.0-40.a.1.3', '60.192.1-60.h.3.4', '120.384.5.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 3, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': True, 'serre_invariants': [[2, 4, 1], [3, 4, 1], [5, 6, 6]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.21759239493637902558062626083', 'prec': 103}, 'szpiro_ratio': 8.538969007156295, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
52. lmfdb_label: 30.a4
    {'Ciso': '30a', 'Clabel': '30a5', 'Cnumber': 5, 'abc_quality': 1.0501740895315954, 'absD': 33750, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 120, 'ainvs': [1, 0, 1, -289, 1862], 'analytic_rank': 0, 'bad_primes': [2, 3, 5], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 30, 'degree': 8, 'elladic_images': ['8.12.0.8', '3.8.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.014859840882296834591619703102', 'prec': 107}, 'faltings_index': 4, 'faltings_ratio': 4, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2, 3, 4, 6, 12], 'jinv': [2656166199049, 33750], 'lmfdb_iso': '30.a', 'lmfdb_label': '30.a4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -289, 1862], 'min_quad_twist_disc': 1, 'modell_images': ['2B', '3B.1.1'], 'modm_images': ['2.3.0.a.1', '3.8.0-3.a.1.2', '4.6.0.c.1', '6.24.0-6.a.1.4', '8.12.0-4.c.1.4', '12.96.0-12.c.4.5', '24.192.1-24.da.3.4', '40.24.0-40.bb.1.14', '120.384.5.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 3, 'num_int_pts': 4, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': True, 'serre_invariants': [[2, 4, 3], [3, 4, 10], [5, 6, 6]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.014859840882296834591619703102', 'prec': 107}, 'szpiro_ratio': 8.411127526667551, 'torsion': 6, 'torsion_primes': [2, 3], 'torsion_structure': [6]}
53. lmfdb_label: 30.a5
    {'Ciso': '30a', 'Clabel': '30a4', 'Cnumber': 4, 'abc_quality': 1.0339287621454463, 'absD': 5314410, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 120, 'ainvs': [1, 0, 1, -69, -194], 'analytic_rank': 0, 'bad_primes': [2, 3, 5], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 30, 'degree': 8, 'elladic_images': ['8.12.0.7', '3.8.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.014859840882296834591619703102', 'prec': 107}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2, 3, 4, 6, 12], 'jinv': [35578826569, 5314410], 'lmfdb_iso': '30.a', 'lmfdb_label': '30.a5', 'lmfdb_number': 5, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -69, -194], 'min_quad_twist_disc': 1, 'modell_images': ['2B', '3B.1.1'], 'modm_images': ['2.3.0.a.1', '3.8.0-3.a.1.2', '4.6.0.c.1', '6.24.0-6.a.1.4', '8.12.0-4.c.1.3', '12.48.0-12.g.1.12', '20.12.0-4.c.1.1', '24.192.1-24.dj.4.8', '40.24.0-40.v.1.4', '60.96.0-60.c.4.16', '120.384.5.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 3, 'num_int_pts': 4, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': True, 'serre_invariants': [[2, 4, 5], [3, 4, 10], [5, 6, 6]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.014859840882296834591619703102', 'prec': 107}, 'szpiro_ratio': 7.143077514276536, 'torsion': 6, 'torsion_primes': [2, 3], 'torsion_structure': [6]}
54. lmfdb_label: 30.a6
    {'Ciso': '30a', 'Clabel': '30a2', 'Cnumber': 2, 'abc_quality': 1.0045688963827404, 'absD': 72900, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 120, 'ainvs': [1, 0, 1, -19, 26], 'analytic_rank': 0, 'bad_primes': [2, 3, 5], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 30, 'degree': 4, 'elladic_images': ['8.12.0.1', '3.8.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.33171374939767582011699635763', 'prec': 107}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [702595369, 72900], 'lmfdb_iso': '30.a', 'lmfdb_label': '30.a6', 'lmfdb_number': 6, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -19, 26], 'min_quad_twist_disc': 1, 'modell_images': ['2Cs', '3B.1.1'], 'modm_images': ['2.6.0.a.1', '3.8.0-3.a.1.2', '6.48.0-6.a.1.1', '8.12.0-2.a.1.1', '12.96.0-12.a.2.13', '20.12.0-2.a.1.1', '24.192.1-24.cp.4.4', '40.24.0-40.a.1.3', '60.192.1-60.h.1.6', '120.384.5.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 3, 'num_int_pts': 10, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': True, 'serre_invariants': [[2, 4, 1], [3, 4, 10], [5, 6, 6]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.33171374939767582011699635763', 'prec': 107}, 'szpiro_ratio': 5.989153060145781, 'torsion': 12, 'torsion_primes': [2, 3], 'torsion_structure': [2, 6]}
55. lmfdb_label: 30.a7
    {'Ciso': '30a', 'Clabel': '30a3', 'Cnumber': 3, 'abc_quality': 1.0491971880149842, 'absD': 1536000, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 120, 'ainvs': [1, 0, 1, -14, -64], 'analytic_rank': 0, 'bad_primes': [2, 3, 5], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 30, 'degree': 6, 'elladic_images': ['8.12.0.12', '3.8.0.2'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.12898119534359362912798979990', 'prec': 107}, 'faltings_index': 2, 'faltings_ratio': 3, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2, 3, 4, 6, 12], 'jinv': [-273359449, 1536000], 'lmfdb_iso': '30.a', 'lmfdb_label': '30.a7', 'lmfdb_number': 7, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -14, -64], 'min_quad_twist_disc': 1, 'modell_images': ['2B', '3B.1.2'], 'modm_images': ['2.3.0.a.1', '3.8.0-3.a.1.1', '4.6.0.c.1', '6.24.0-6.a.1.2', '8.12.0-4.c.1.2', '12.96.0-12.c.1.6', '20.12.0-4.c.1.2', '24.192.1-24.dh.4.2', '30.48.0-30.b.1.3', '40.24.0-40.bb.1.9', '60.192.1-60.n.2.4', '120.384.5.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 3, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': True, 'serre_invariants': [[2, 4, 15], [3, 4, 1], [5, 6, 6]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.12898119534359362912798979990', 'prec': 107}, 'szpiro_ratio': 6.408754108329178, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
56. lmfdb_label: 30.a8
    {'Ciso': '30a', 'Clabel': '30a1', 'Cnumber': 1, 'abc_quality': 0.9968917246282063, 'absD': 2160, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 120, 'ainvs': [1, 0, 1, 1, 2], 'analytic_rank': 0, 'bad_primes': [2, 3, 5], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 30, 'degree': 2, 'elladic_images': ['8.12.0.12', '3.8.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.67828733967764847482561241836', 'prec': 107}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2, 3, 4, 6, 12], 'jinv': [357911, 2160], 'lmfdb_iso': '30.a', 'lmfdb_label': '30.a8', 'lmfdb_number': 8, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, 1, 2], 'min_quad_twist_disc': 1, 'modell_images': ['2B', '3B.1.1'], 'modm_images': ['2.3.0.a.1', '3.8.0-3.a.1.2', '4.6.0.c.1', '6.24.0-6.a.1.4', '8.12.0-4.c.1.2', '12.96.0-12.c.2.7', '20.12.0-4.c.1.2', '24.192.1-24.dh.3.2', '30.48.0-30.b.1.4', '40.24.0-40.bb.1.9', '60.192.1-60.n.4.4', '120.384.5.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 3, 'num_int_pts': 5, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': True, 'serre_invariants': [[2, 4, 15], [3, 4, 10], [5, 6, 6]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.67828733967764847482561241836', 'prec': 107}, 'szpiro_ratio': 4.419554787227392, 'torsion': 6, 'torsion_primes': [2, 3], 'torsion_structure': [6]}
57. lmfdb_label: 32.a1
    {'Ciso': '32a', 'Clabel': '32a3', 'Cnumber': 3, 'abc_quality': 1.172456969504371, 'absD': 512, 'ainvs': [0, 0, 0, -11, -14], 'analytic_rank': 0, 'bad_primes': [2], 'class_deg': 4, 'class_size': 4, 'cm': -16, 'conductor': 32, 'degree': 4, 'elladic_images': ['16.192.3.554'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.61738574535156420883504296185', 'prec': 107}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2, 4], 'jinv': [287496, 1], 'lmfdb_iso': '32.a', 'lmfdb_label': '32.a1', 'lmfdb_number': 1, 'manin_constant': 2, 'min_quad_twist_ainvs': [0, 0, 0, -11, -14], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 1, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': True, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 1]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.1372461307715231908979670529', 'prec': 103}, 'szpiro_ratio': 5.426636471615072, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
58. lmfdb_label: 32.a2
    {'Ciso': '32a', 'Clabel': '32a4', 'Cnumber': 4, 'abc_quality': 1.172456969504371, 'absD': 512, 'ainvs': [0, 0, 0, -11, 14], 'analytic_rank': 0, 'bad_primes': [2], 'class_deg': 4, 'class_size': 4, 'cm': -16, 'conductor': 32, 'degree': 4, 'elladic_images': ['16.192.3.540'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.61738574535156420883504296185', 'prec': 107}, 'faltings_index': 2, 'faltings_ratio': 2, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2, 4], 'jinv': [287496, 1], 'lmfdb_iso': '32.a', 'lmfdb_label': '32.a2', 'lmfdb_number': 2, 'manin_constant': 2, 'min_quad_twist_ainvs': [0, 0, 0, -11, -14], 'min_quad_twist_disc': -4, 'modell_images': ['2B'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 1, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': True, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 1]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.1372461307715231908979670529', 'prec': 103}, 'szpiro_ratio': 5.426636471615072, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [4]}
59. lmfdb_label: 32.a3
    {'Ciso': '32a', 'Clabel': '32a2', 'Cnumber': 2, 'absD': 64, 'ainvs': [0, 0, 0, -1, 0], 'analytic_rank': 0, 'bad_primes': [2], 'class_deg': 4, 'class_size': 4, 'cm': -4, 'conductor': 32, 'degree': 2, 'elladic_images': ['16.384.9.568'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.96395933563153686354365902258', 'prec': 107}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2], 'jinv': [1728, 1], 'lmfdb_iso': '32.a', 'lmfdb_label': '32.a3', 'lmfdb_number': 3, 'manin_constant': 2, 'min_quad_twist_ainvs': [0, 0, 0, -1, 0], 'min_quad_twist_disc': 1, 'modell_images': ['2Cs'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 1, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': True, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 1]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.3105329259115095182522750833', 'prec': 103}, 'szpiro_ratio': 3.350977500432694, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
60. lmfdb_label: 32.a4
    {'Ciso': '32a', 'Clabel': '32a1', 'Cnumber': 1, 'absD': 4096, 'ainvs': [0, 0, 0, 4, 0], 'analytic_rank': 0, 'bad_primes': [2], 'class_deg': 4, 'class_size': 4, 'cm': -4, 'conductor': 32, 'degree': 1, 'elladic_images': ['16.384.9.633'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.61738574535156420883504296185', 'prec': 107}, 'faltings_index': 3, 'faltings_ratio': 2, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2, 4], 'jinv': [1728, 1], 'lmfdb_iso': '32.a', 'lmfdb_label': '32.a4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, 4, 0], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 1, 'num_int_pts': 3, 'optimality': 1, 'potential_good_reduction': True, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 1]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.3105329259115095182522750833', 'prec': 103}, 'szpiro_ratio': 4.550977500432694, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [4]}
61. lmfdb_label: 33.a1
    {'Ciso': '33a', 'Clabel': '33a3', 'Cnumber': 3, 'abc_quality': 1.0091329432672695, 'absD': 395307, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 264, 'ainvs': [1, 1, 0, -146, 621], 'analytic_rank': 0, 'bad_primes': [3, 11], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 33, 'degree': 6, 'elladic_images': ['4.12.0.7'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.012632067116688598242446120205', 'prec': 110}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2, 4], 'jinv': [347873904937, 395307], 'lmfdb_iso': '33.a', 'lmfdb_label': '33.a1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -146, 621], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.1', '12.24.0-12.h.1.2', '88.24.0.?', '264.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 2, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': True, 'serre_invariants': [[2, 2, 3], [3, 4, 11], [11, 12, 3]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.012632067116688598242446120205', 'prec': 110}, 'szpiro_ratio': 7.600471453800636, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [4]}
62. lmfdb_label: 33.a2
    {'Ciso': '33a', 'Clabel': '33a1', 'Cnumber': 1, 'abc_quality': 1.0066941367119941, 'absD': 88209, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 132, 'ainvs': [1, 1, 0, -11, 0], 'analytic_rank': 0, 'bad_primes': [3, 11], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 33, 'degree': 3, 'elladic_images': ['4.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.35920565739666125295106218094', 'prec': 107}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2], 'jinv': [169112377, 88209], 'lmfdb_iso': '33.a', 'lmfdb_label': '33.a2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -11, 0], 'min_quad_twist_disc': 1, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0-2.a.1.1', '12.24.0-12.a.1.1', '44.24.0-44.b.1.2', '132.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 2, 'num_int_pts': 2, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': True, 'serre_invariants': [[2, 2, 1], [3, 4, 11], [11, 12, 3]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.35920565739666125295106218094', 'prec': 107}, 'szpiro_ratio': 5.418570865787225, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
63. lmfdb_label: 33.a3
    {'Ciso': '33a', 'Clabel': '33a2', 'Cnumber': 2, 'abc_quality': 1.0970565641289056, 'absD': 297, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 264, 'ainvs': [1, 1, 0, -6, -9], 'analytic_rank': 0, 'bad_primes': [3, 11], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 33, 'degree': 6, 'elladic_images': ['8.12.0.6'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.70577924767663390765967824166', 'prec': 107}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2, 4], 'jinv': [30664297, 297], 'lmfdb_iso': '33.a', 'lmfdb_label': '33.a3', 'lmfdb_number': 3, 'manin_constant': 2, 'min_quad_twist_ainvs': [1, 1, 0, -6, -9], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0-4.c.1.5', '12.12.0-4.c.1.2', '24.24.0-24.ba.1.4', '44.12.0-4.c.1.2', '66.6.0.a.1', '88.24.0.?', '132.24.0.?', '264.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 2, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': True, 'serre_invariants': [[3, 4, 11], [11, 12, 3]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.70577924767663390765967824166', 'prec': 107}, 'szpiro_ratio': 4.930236605691871, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
64. lmfdb_label: 33.a4
    {'Ciso': '33a', 'Clabel': '33a4', 'Cnumber': 4, 'abc_quality': 1.0376318384434067, 'absD': 5845851, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 264, 'ainvs': [1, 1, 0, 44, 55], 'analytic_rank': 0, 'bad_primes': [3, 11], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 33, 'degree': 6, 'elladic_images': ['4.12.0.8'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.012632067116688598242446120206', 'prec': 110}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2, 4], 'jinv': [9090072503, 5845851], 'lmfdb_iso': '33.a', 'lmfdb_label': '33.a4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, 44, 55], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.2', '22.6.0.a.1', '24.24.0-24.ba.1.16', '44.24.0-44.g.1.1', '264.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 2, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': True, 'serre_invariants': [[2, 2, 11], [3, 4, 11], [11, 12, 3]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.012632067116688598242446120206', 'prec': 110}, 'szpiro_ratio': 6.558100709959362, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
65. lmfdb_label: 34.a1
    {'Ciso': '34a', 'Clabel': '34a4', 'Cnumber': 4, 'abc_quality': 1.0684849196783666, 'absD': 48275138, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 408, 'ainvs': [1, 0, 0, -113, -329], 'analytic_rank': 0, 'bad_primes': [2, 17], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 34, 'degree': 12, 'elladic_images': ['8.6.0.6', '3.8.0.2'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.17948739806556551375425050126', 'prec': 103}, 'faltings_index': 3, 'faltings_ratio': 6, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [159661140625, 48275138], 'lmfdb_iso': '34.a', 'lmfdb_label': '34.a1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -113, -329], 'min_quad_twist_disc': 1, 'modell_images': ['2B', '3B.1.2'], 'modm_images': ['2.3.0.a.1', '3.8.0-3.a.1.1', '6.24.0-6.a.1.2', '8.6.0.b.1', '24.48.0-24.y.1.13', '68.6.0.c.1', '136.12.0.?', '204.48.0.?', '408.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 2, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': True, 'serre_invariants': [[2, 4, 1], [3, 2, 2], [17, 18, 2]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.17948739806556551375425050126', 'prec': 103}, 'szpiro_ratio': 7.315281394273737, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
66. lmfdb_label: 34.a2
    {'Ciso': '34a', 'Clabel': '34a3', 'Cnumber': 3, 'abc_quality': 0.985640636788803, 'absD': 19652, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 408, 'ainvs': [1, 0, 0, -103, -411], 'analytic_rank': 0, 'bad_primes': [2, 17], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 34, 'degree': 6, 'elladic_images': ['8.6.0.1', '3.8.0.2'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.16708619221440714095436555947', 'prec': 107}, 'faltings_index': 2, 'faltings_ratio': 3, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [120920208625, 19652], 'lmfdb_iso': '34.a', 'lmfdb_label': '34.a2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -103, -411], 'min_quad_twist_disc': 1, 'modell_images': ['2B', '3B.1.2'], 'modm_images': ['2.3.0.a.1', '3.8.0-3.a.1.1', '6.24.0-6.a.1.2', '8.6.0.c.1', '24.48.0-24.bw.1.11', '34.6.0.a.1', '102.48.0.?', '136.12.0.?', '408.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 2, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': True, 'serre_invariants': [[2, 4, 17], [3, 2, 2], [17, 18, 2]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.16708619221440714095436555947', 'prec': 107}, 'szpiro_ratio': 7.236468464876567, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
67. lmfdb_label: 34.a3
    {'Ciso': '34a', 'Clabel': '34a2', 'Cnumber': 2, 'abc_quality': 0.9659043939476677, 'absD': 2312, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 408, 'ainvs': [1, 0, 0, -43, 105], 'analytic_rank': 0, 'bad_primes': [2, 17], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 34, 'degree': 4, 'elladic_images': ['8.6.0.6', '3.8.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.36981874626848933194337211720', 'prec': 107}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [8805624625, 2312], 'lmfdb_iso': '34.a', 'lmfdb_label': '34.a3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -43, 105], 'min_quad_twist_disc': 1, 'modell_images': ['2B', '3B.1.1'], 'modm_images': ['2.3.0.a.1', '3.8.0-3.a.1.2', '6.24.0-6.a.1.4', '8.6.0.b.1', '24.48.0-24.y.1.15', '68.6.0.c.1', '136.12.0.?', '204.48.0.?', '408.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 2, 'num_int_pts': 4, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': True, 'serre_invariants': [[2, 4, 1], [3, 2, 17], [17, 18, 2]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.36981874626848933194337211720', 'prec': 107}, 'szpiro_ratio': 6.493566484861295, 'torsion': 6, 'torsion_primes': [2, 3], 'torsion_structure': [6]}
68. lmfdb_label: 34.a4
    {'Ciso': '34a', 'Clabel': '34a1', 'Cnumber': 1, 'abc_quality': 0.9000957170016773, 'absD': 1088, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 408, 'ainvs': [1, 0, 0, -3, 1], 'analytic_rank': 0, 'bad_primes': [2, 17], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 34, 'degree': 2, 'elladic_images': ['8.6.0.1', '3.8.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.71639233654846198665198817793', 'prec': 107}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [3048625, 1088], 'lmfdb_iso': '34.a', 'lmfdb_label': '34.a4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -3, 1], 'min_quad_twist_disc': 1, 'modell_images': ['2B', '3B.1.1'], 'modm_images': ['2.3.0.a.1', '3.8.0-3.a.1.2', '6.24.0-6.a.1.4', '8.6.0.c.1', '24.48.0-24.bw.1.15', '34.6.0.a.1', '102.48.0.?', '136.12.0.?', '408.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 2, 'num_int_pts': 5, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': True, 'serre_invariants': [[2, 4, 17], [3, 2, 17], [17, 18, 2]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.71639233654846198665198817793', 'prec': 107}, 'szpiro_ratio': 4.233883950049846, 'torsion': 6, 'torsion_primes': [2, 3], 'torsion_structure': [6]}
69. lmfdb_label: 35.a1
    {'Ciso': '35a', 'Clabel': '35a2', 'Cnumber': 2, 'abc_quality': 1.0211201298201755, 'absD': 13671875, 'adelic_genus': 3, 'adelic_index': 144, 'adelic_level': 630, 'ainvs': [0, 1, 1, -131, -650], 'analytic_rank': 0, 'bad_primes': [5, 7], 'class_deg': 9, 'class_size': 3, 'cm': 0, 'conductor': 35, 'degree': 6, 'elladic_images': ['9.24.0.3'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.12746212363100473430766790164', 'prec': 103}, 'faltings_index': 2, 'faltings_ratio': 9, 'iso_nlabel': 0, 'isogeny_degrees': [1, 3, 9], 'jinv': [-250523582464, 13671875], 'lmfdb_iso': '35.a', 'lmfdb_label': '35.a1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 1, -131, -650], 'min_quad_twist_disc': 1, 'modell_images': ['3B.1.2'], 'modm_images': ['3.8.0-3.a.1.1', '9.24.0-9.a.1.1', '63.72.0-63.e.2.2', '70.2.0.a.1', '210.16.0.?', '630.144.3.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 2, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': True, 'serre_invariants': [[3, 2, 7], [5, 6, 7], [7, 8, 5]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.12746212363100473430766790164', 'prec': 103}, 'szpiro_ratio': 7.4076955652807674, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
70. lmfdb_label: 35.a2
    {'Ciso': '35a', 'Clabel': '35a3', 'Cnumber': 3, 'abc_quality': 0.8871538351825968, 'absD': 35, 'adelic_genus': 3, 'adelic_index': 144, 'adelic_level': 630, 'ainvs': [0, 1, 1, -1, 0], 'analytic_rank': 0, 'bad_primes': [5, 7], 'class_deg': 9, 'class_size': 3, 'cm': 0, 'conductor': 35, 'degree': 6, 'elladic_images': ['9.24.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.97115016503710495708757733528', 'prec': 107}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 0, 'isogeny_degrees': [1, 3, 9], 'jinv': [-262144, 35], 'lmfdb_iso': '35.a', 'lmfdb_label': '35.a2', 'lmfdb_number': 2, 'manin_constant': 3, 'min_quad_twist_ainvs': [0, 1, 1, -1, 0], 'min_quad_twist_disc': 1, 'modell_images': ['3B.1.1'], 'modm_images': ['3.8.0-3.a.1.2', '9.24.0-9.a.1.2', '63.72.0-63.e.1.2', '70.2.0.a.1', '210.16.0.?', '630.144.3.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 2, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': True, 'serre_invariants': [[5, 6, 7], [7, 8, 5]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.97115016503710495708757733528', 'prec': 107}, 'szpiro_ratio': 3.567651497988243, 'torsion': 3, 'torsion_primes': [3], 'torsion_structure': [3]}
71. lmfdb_label: 35.a3
    {'Ciso': '35a', 'Clabel': '35a1', 'Cnumber': 1, 'abc_quality': 1.0649344898971125, 'absD': 42875, 'adelic_genus': 3, 'adelic_index': 144, 'adelic_level': 630, 'ainvs': [0, 1, 1, 9, 1], 'analytic_rank': 0, 'bad_primes': [5, 7], 'class_deg': 9, 'class_size': 3, 'cm': 0, 'conductor': 35, 'degree': 2, 'elladic_images': ['3.24.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.42184402070305011138995471682', 'prec': 107}, 'faltings_index': 1, 'faltings_ratio': 3, 'iso_nlabel': 0, 'isogeny_degrees': [1, 3], 'jinv': [71991296, 42875], 'lmfdb_iso': '35.a', 'lmfdb_label': '35.a3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 1, 9, 1], 'min_quad_twist_disc': 1, 'modell_images': ['3Cs.1.1'], 'modm_images': ['3.24.0-3.a.1.1', '63.72.0-63.b.1.3', '70.2.0.a.1', '210.48.1.?', '630.144.3.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 2, 'num_int_pts': 2, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': True, 'serre_invariants': [[3, 2, 1], [5, 6, 7], [7, 8, 5]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.42184402070305011138995471682', 'prec': 107}, 'szpiro_ratio': 5.0886876524839115, 'torsion': 3, 'torsion_primes': [3], 'torsion_structure': [3]}
72. lmfdb_label: 36.a1
    {'Ciso': '36a', 'Clabel': '36a4', 'Cnumber': 4, 'abc_quality': 1.027195810121916, 'absD': 5038848, 'ainvs': [0, 0, 0, -135, -594], 'analytic_rank': 0, 'bad_primes': [2, 3], 'class_deg': 6, 'class_size': 4, 'cm': -12, 'conductor': 36, 'degree': 6, 'elladic_images': ['27.648.18.4'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.080464438539665444737591499720', 'prec': 107}, 'faltings_index': 3, 'faltings_ratio': 6, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [54000, 1], 'lmfdb_iso': '36.a', 'lmfdb_label': '36.a1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, -15, 22], 'min_quad_twist_disc': -3, 'modell_images': ['3B.1.2'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 2, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': True, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 3], [3, 2, 4]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.2055928983347136967536638423', 'prec': 103}, 'szpiro_ratio': 7.347366602555891, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
73. lmfdb_label: 36.a2
    {'Ciso': '36a', 'Clabel': '36a2', 'Cnumber': 2, 'abc_quality': 1.027195810121916, 'absD': 6912, 'ainvs': [0, 0, 0, -15, 22], 'analytic_rank': 0, 'bad_primes': [2, 3], 'class_deg': 6, 'class_size': 4, 'cm': -12, 'conductor': 36, 'degree': 2, 'elladic_images': ['27.648.18.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.46884170579438940096003111874', 'prec': 107}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [54000, 1], 'lmfdb_iso': '36.a', 'lmfdb_label': '36.a2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, -15, 22], 'min_quad_twist_disc': 1, 'modell_images': ['3B.1.1'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 2, 'num_int_pts': 5, 'optimality': 0, 'potential_good_reduction': True, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 3], [3, 6, 4]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.2055928983347136967536638423', 'prec': 103}, 'szpiro_ratio': 5.5079250242595155, 'torsion': 6, 'torsion_primes': [2, 3], 'torsion_structure': [6]}
74. lmfdb_label: 36.a3
    {'Ciso': '36a', 'Clabel': '36a3', 'Cnumber': 3, 'absD': 314928, 'ainvs': [0, 0, 0, 0, -27], 'analytic_rank': 0, 'bad_primes': [2, 3], 'class_deg': 6, 'class_size': 4, 'cm': -3, 'conductor': 36, 'degree': 3, 'elladic_images': ['16.192.9.83', '27.648.18.4'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.26610915174030720997102456101', 'prec': 107}, 'faltings_index': 2, 'faltings_ratio': 3, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [0, 1], 'lmfdb_iso': '36.a', 'lmfdb_label': '36.a3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, 0, 1], 'min_quad_twist_disc': -3, 'modell_images': ['2B', '3B.1.2'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 2, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': True, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 3], [3, 2, 4]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.3211174284280379149898691959', 'prec': 103}, 'szpiro_ratio': 5.613147192765458, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
75. lmfdb_label: 36.a4
    {'Ciso': '36a', 'Clabel': '36a1', 'Cnumber': 1, 'absD': 432, 'ainvs': [0, 0, 0, 0, 1], 'analytic_rank': 0, 'bad_primes': [2, 3], 'class_deg': 6, 'class_size': 4, 'cm': -3, 'conductor': 36, 'degree': 1, 'elladic_images': ['16.192.9.83', '27.648.18.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.81541529607436205566864717947', 'prec': 107}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [0, 1], 'lmfdb_iso': '36.a', 'lmfdb_label': '36.a4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, 0, 1], 'min_quad_twist_disc': 1, 'modell_images': ['2B', '3B.1.1'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 2, 'num_int_pts': 5, 'optimality': 1, 'potential_good_reduction': True, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 3], [3, 6, 4]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.3211174284280379149898691959', 'prec': 103}, 'szpiro_ratio': 3.7737056144690833, 'torsion': 6, 'torsion_primes': [2, 3], 'torsion_structure': [6]}
76. lmfdb_label: 37.a1
    {'Ciso': '37a', 'Clabel': '37a1', 'Cnumber': 1, 'abc_quality': 0.7697818672856651, 'absD': 37, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 74, 'ainvs': [0, 0, 1, -1, 0], 'analytic_rank': 1, 'bad_primes': [37], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 37, 'degree': 2, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.99654220763736714794656344357', 'prec': 107}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 0, 'isogeny_degrees': [1], 'jinv': [110592, 37], 'lmfdb_iso': '37.a', 'lmfdb_label': '37.a1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 1, -1, 0], 'min_quad_twist_disc': 1, 'modell_images': [], 'modm_images': ['74.2.0.?'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 1, 'num_int_pts': 10, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.051111408239968840235886099757', 'prec': 107}, 'semistable': True, 'serre_invariants': [[37, 38, 1]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.99654220763736714794656344357', 'prec': 107}, 'szpiro_ratio': 3.2162467587692114, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
77. lmfdb_label: 37.b1
    {'Ciso': '37b', 'Clabel': '37b2', 'Cnumber': 2, 'abc_quality': 1.0859831071145252, 'absD': 37, 'adelic_genus': 43, 'adelic_index': 1296, 'adelic_level': 1998, 'ainvs': [0, 1, 1, -1873, -31833], 'analytic_rank': 0, 'bad_primes': [37], 'class_deg': 9, 'class_size': 3, 'cm': 0, 'conductor': 37, 'degree': 6, 'elladic_images': ['27.72.0.2'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.22208155952370335500678500553', 'prec': 103}, 'faltings_index': 2, 'faltings_ratio': 9, 'iso_nlabel': 1, 'isogeny_degrees': [1, 3, 9], 'jinv': [727057727488000, 37], 'lmfdb_iso': '37.b', 'lmfdb_label': '37.b1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 1, -1873, -31833], 'min_quad_twist_disc': 1, 'modell_images': ['3B.1.2'], 'modm_images': ['3.8.0-3.a.1.1', '9.24.0-9.a.1.1', '27.72.0-27.a.1.1', '74.2.0.?', '222.16.0.?', '333.72.0.?', '666.144.3.?', '999.648.16.?', '1998.1296.43.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 1, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': True, 'serre_invariants': [[37, 38, 1]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.22208155952370335500678500553', 'prec': 103}, 'szpiro_ratio': 9.476822188495476, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
78. lmfdb_label: 37.b2
    {'Ciso': '37b', 'Clabel': '37b1', 'Cnumber': 1, 'abc_quality': 0.9727427413985318, 'absD': 50653, 'adelic_genus': 43, 'adelic_index': 1296, 'adelic_level': 1998, 'ainvs': [0, 1, 1, -23, -50], 'analytic_rank': 0, 'bad_primes': [37], 'class_deg': 9, 'class_size': 3, 'cm': 0, 'conductor': 37, 'degree': 2, 'elladic_images': ['9.72.0.3'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.32722458481035149069083761293', 'prec': 107}, 'faltings_index': 1, 'faltings_ratio': 3, 'iso_nlabel': 1, 'isogeny_degrees': [1, 3], 'jinv': [1404928000, 50653], 'lmfdb_iso': '37.b', 'lmfdb_label': '37.b2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 1, -23, -50], 'min_quad_twist_disc': 1, 'modell_images': ['3Cs.1.1'], 'modm_images': ['3.24.0-3.a.1.1', '9.72.0-9.b.1.1', '74.2.0.?', '222.48.1.?', '333.216.4.?', '666.432.13.?', '999.648.16.?', '1998.1296.43.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 1, 'num_int_pts': 2, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': True, 'serre_invariants': [[3, 2, 1], [37, 38, 1]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.32722458481035149069083761293', 'prec': 107}, 'szpiro_ratio': 5.8332126075508315, 'torsion': 3, 'torsion_primes': [3], 'torsion_structure': [3]}
79. lmfdb_label: 37.b3
    {'Ciso': '37b', 'Clabel': '37b3', 'Cnumber': 3, 'abc_quality': 0.8826782160855301, 'absD': 37, 'adelic_genus': 43, 'adelic_index': 1296, 'adelic_level': 1998, 'ainvs': [0, 1, 1, -3, 1], 'analytic_rank': 0, 'bad_primes': [37], 'class_deg': 9, 'class_size': 3, 'cm': 0, 'conductor': 37, 'degree': 6, 'elladic_images': ['27.72.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.87653072914440633638846023140', 'prec': 107}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 1, 'isogeny_degrees': [1, 3, 9], 'jinv': [4096000, 37], 'lmfdb_iso': '37.b', 'lmfdb_label': '37.b3', 'lmfdb_number': 3, 'manin_constant': 3, 'min_quad_twist_ainvs': [0, 1, 1, -3, 1], 'min_quad_twist_disc': 1, 'modell_images': ['3B.1.1'], 'modm_images': ['3.8.0-3.a.1.2', '9.24.0-9.a.1.2', '27.72.0-27.a.1.2', '74.2.0.?', '222.16.0.?', '333.72.0.?', '666.144.3.?', '999.648.16.?', '1998.1296.43.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 1, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': True, 'serre_invariants': [[37, 38, 1]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.87653072914440633638846023140', 'prec': 107}, 'szpiro_ratio': 4.216523835223949, 'torsion': 3, 'torsion_primes': [3], 'torsion_structure': [3]}
80. lmfdb_label: 38.a1
    {'Ciso': '38a', 'Clabel': '38a2', 'Cnumber': 2, 'abc_quality': 1.054621266416818, 'absD': 2550136832, 'adelic_genus': 43, 'adelic_index': 1296, 'adelic_level': 4104, 'ainvs': [1, 0, 1, -86, -2456], 'analytic_rank': 0, 'bad_primes': [2, 19], 'class_deg': 9, 'class_size': 3, 'cm': 0, 'conductor': 38, 'degree': 18, 'elladic_images': ['27.72.0.2'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.48516961095724358095196192008', 'prec': 103}, 'faltings_index': 2, 'faltings_ratio': 9, 'iso_nlabel': 0, 'isogeny_degrees': [1, 3, 9], 'jinv': [-69173457625, 2550136832], 'lmfdb_iso': '38.a', 'lmfdb_label': '38.a1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -86, -2456], 'min_quad_twist_disc': 1, 'modell_images': ['3B.1.2'], 'modm_images': ['3.8.0-3.a.1.1', '9.24.0-9.a.1.1', '27.72.0-27.a.1.1', '152.2.0.?', '171.72.0.?', '456.16.0.?', '513.648.16.?', '1368.144.3.?', '4104.1296.43.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 2, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': True, 'serre_invariants': [[2, 4, 19], [3, 2, 19], [19, 20, 2]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.48516961095724358095196192008', 'prec': 103}, 'szpiro_ratio': 8.007977586282983, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
81. lmfdb_label: 38.a2
    {'Ciso': '38a', 'Clabel': '38a3', 'Cnumber': 3, 'abc_quality': 0.9328072208159958, 'absD': 152, 'adelic_genus': 43, 'adelic_index': 1296, 'adelic_level': 4104, 'ainvs': [1, 0, 1, -16, 22], 'analytic_rank': 0, 'bad_primes': [2, 19], 'class_deg': 9, 'class_size': 3, 'cm': 0, 'conductor': 38, 'degree': 18, 'elladic_images': ['27.72.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.61344267771086611044328331685', 'prec': 107}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 0, 'isogeny_degrees': [1, 3, 9], 'jinv': [-413493625, 152], 'lmfdb_iso': '38.a', 'lmfdb_label': '38.a2', 'lmfdb_number': 2, 'manin_constant': 3, 'min_quad_twist_ainvs': [1, 0, 1, -16, 22], 'min_quad_twist_disc': 1, 'modell_images': ['3B.1.1'], 'modm_images': ['3.8.0-3.a.1.2', '9.24.0-9.a.1.2', '27.72.0-27.a.1.2', '152.2.0.?', '171.72.0.?', '456.16.0.?', '513.648.16.?', '1368.144.3.?', '4104.1296.43.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 2, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': True, 'serre_invariants': [[2, 4, 19], [3, 2, 19], [19, 20, 2]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.61344267771086611044328331685', 'prec': 107}, 'szpiro_ratio': 5.454382877544644, 'torsion': 3, 'torsion_primes': [3], 'torsion_structure': [3]}
82. lmfdb_label: 38.a3
    {'Ciso': '38a', 'Clabel': '38a1', 'Cnumber': 1, 'abc_quality': 1.01874591611381, 'absD': 3511808, 'adelic_genus': 43, 'adelic_index': 1296, 'adelic_level': 4104, 'ainvs': [1, 0, 1, 9, 90], 'analytic_rank': 0, 'bad_primes': [2, 19], 'class_deg': 9, 'class_size': 3, 'cm': 0, 'conductor': 38, 'degree': 6, 'elladic_images': ['9.72.0.3'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.064136533376811264745660698385', 'prec': 110}, 'faltings_index': 1, 'faltings_ratio': 3, 'iso_nlabel': 0, 'isogeny_degrees': [1, 3], 'jinv': [94196375, 3511808], 'lmfdb_iso': '38.a', 'lmfdb_label': '38.a3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, 9, 90], 'min_quad_twist_disc': 1, 'modell_images': ['3Cs.1.1'], 'modm_images': ['3.24.0-3.a.1.1', '9.72.0-9.b.1.1', '152.2.0.?', '171.216.4.?', '456.48.1.?', '513.648.16.?', '1368.432.13.?', '4104.1296.43.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 2, 'num_int_pts': 2, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': True, 'serre_invariants': [[2, 4, 19], [3, 2, 1], [19, 20, 2]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.064136533376811264745660698385', 'prec': 110}, 'szpiro_ratio': 6.188366779495006, 'torsion': 3, 'torsion_primes': [3], 'torsion_structure': [3]}
83. lmfdb_label: 38.b1
    {'Ciso': '38b', 'Clabel': '38b2', 'Cnumber': 2, 'abc_quality': 0.9771431338914642, 'absD': 4952198, 'adelic_genus': 1, 'adelic_index': 48, 'adelic_level': 760, 'ainvs': [1, 1, 1, -70, -279], 'analytic_rank': 0, 'bad_primes': [2, 19], 'class_deg': 5, 'class_size': 2, 'cm': 0, 'conductor': 38, 'degree': 10, 'elladic_images': ['5.24.0.3'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.017784593456229730910376097421', 'prec': 107}, 'faltings_index': 1, 'faltings_ratio': 5, 'iso_nlabel': 1, 'isogeny_degrees': [1, 5], 'jinv': [-37966934881, 4952198], 'lmfdb_iso': '38.b', 'lmfdb_label': '38.b1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -70, -279], 'min_quad_twist_disc': 1, 'modell_images': ['5B.1.2'], 'modm_images': ['5.24.0-5.a.2.2', '152.2.0.?', '760.48.1.?'], 'nonmax_primes': [5], 'nonmax_rad': 5, 'num_bad_primes': 2, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': True, 'serre_invariants': [[2, 4, 19], [5, 2, 2], [19, 20, 2]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.017784593456229730910376097421', 'prec': 107}, 'szpiro_ratio': 6.752621168258083, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
84. lmfdb_label: 38.b2
    {'Ciso': '38b', 'Clabel': '38b1', 'Cnumber': 1, 'abc_quality': 1.3783287107557713, 'absD': 608, 'adelic_genus': 1, 'adelic_index': 48, 'adelic_level': 760, 'ainvs': [1, 1, 1, 0, 1], 'analytic_rank': 0, 'bad_primes': [2, 19], 'class_deg': 5, 'class_size': 2, 'cm': 0, 'conductor': 38, 'degree': 2, 'elladic_images': ['5.24.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.78693436276082045639000356919', 'prec': 107}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 1, 'isogeny_degrees': [1, 5], 'jinv': [-1, 608], 'lmfdb_iso': '38.b', 'lmfdb_label': '38.b2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, 0, 1], 'min_quad_twist_disc': 1, 'modell_images': ['5B.1.1'], 'modm_images': ['5.24.0-5.a.1.2', '152.2.0.?', '760.48.1.?'], 'nonmax_primes': [5], 'nonmax_rad': 5, 'num_bad_primes': 2, 'num_int_pts': 4, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': True, 'serre_invariants': [[2, 4, 19], [5, 2, 19], [19, 20, 2]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.78693436276082045639000356919', 'prec': 107}, 'szpiro_ratio': 3.81156491539651, 'torsion': 5, 'torsion_primes': [5], 'torsion_structure': [5]}
85. lmfdb_label: 39.a1
    {'Ciso': '39a', 'Clabel': '39a2', 'Cnumber': 2, 'abc_quality': 1.1161605159157866, 'absD': 1053, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 312, 'ainvs': [1, 1, 0, -69, -252], 'analytic_rank': 0, 'bad_primes': [3, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 39, 'degree': 4, 'elladic_images': ['4.12.0.8'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.31836646212838745294877701717', 'prec': 107}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2, 4], 'jinv': [37159393753, 1053], 'lmfdb_iso': '39.a', 'lmfdb_label': '39.a1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -69, -252], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.2', '24.24.0-24.ba.1.16', '26.6.0.b.1', '52.24.0-52.g.1.1', '312.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 2, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': True, 'serre_invariants': [[2, 2, 13], [3, 4, 13], [13, 14, 3]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.31836646212838745294877701717', 'prec': 107}, 'szpiro_ratio': 6.643393720961787, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
86. lmfdb_label: 39.a2
    {'Ciso': '39a', 'Clabel': '39a3', 'Cnumber': 3, 'abc_quality': 0.9608618677341092, 'absD': 85683, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 312, 'ainvs': [1, 1, 0, -19, 22], 'analytic_rank': 0, 'bad_primes': [3, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 39, 'degree': 4, 'elladic_images': ['4.12.0.7'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.31836646212838745294877701717', 'prec': 107}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2, 4], 'jinv': [822656953, 85683], 'lmfdb_iso': '39.a', 'lmfdb_label': '39.a2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -19, 22], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.1', '12.24.0-12.h.1.2', '104.24.0.?', '312.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 2, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': True, 'serre_invariants': [[2, 2, 3], [3, 4, 13], [13, 14, 3]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.31836646212838745294877701717', 'prec': 107}, 'szpiro_ratio': 5.6033040602447715, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [4]}
87. lmfdb_label: 39.a3
    {'Ciso': '39a', 'Clabel': '39a1', 'Cnumber': 1, 'abc_quality': 0.9140273049268122, 'absD': 1521, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 156, 'ainvs': [1, 1, 0, -4, -5], 'analytic_rank': 0, 'bad_primes': [3, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 39, 'degree': 2, 'elladic_images': ['4.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.66494005240836010765739307790', 'prec': 107}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2], 'jinv': [10218313, 1521], 'lmfdb_iso': '39.a', 'lmfdb_label': '39.a3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -4, -5], 'min_quad_twist_disc': 1, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0-2.a.1.1', '12.24.0-12.a.1.1', '52.24.0-52.b.1.2', '156.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 2, 'num_int_pts': 2, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': True, 'serre_invariants': [[2, 2, 1], [3, 4, 13], [13, 14, 3]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.66494005240836010765739307790', 'prec': 107}, 'szpiro_ratio': 4.4054648507613035, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
88. lmfdb_label: 39.a4
    {'Ciso': '39a', 'Clabel': '39a4', 'Cnumber': 4, 'abc_quality': 0.8584360026236014, 'absD': 39, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 312, 'ainvs': [1, 1, 0, 1, 0], 'analytic_rank': 0, 'bad_primes': [3, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 39, 'degree': 4, 'elladic_images': ['8.12.0.6'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-1.0115136426883327623660091386', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2, 4], 'jinv': [12167, 39], 'lmfdb_iso': '39.a', 'lmfdb_label': '39.a4', 'lmfdb_number': 4, 'manin_constant': 2, 'min_quad_twist_ainvs': [1, 1, 0, 1, 0], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0-4.c.1.5', '12.12.0-4.c.1.2', '24.24.0-24.ba.1.4', '52.12.0-4.c.1.2', '78.6.0.?', '104.24.0.?', '156.24.0.?', '312.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 2, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': True, 'serre_invariants': [[3, 4, 13], [13, 14, 3]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.0115136426883327623660091386', 'prec': 103}, 'szpiro_ratio': 2.9804796760616346, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
89. lmfdb_label: 40.a1
    {'Ciso': '40a', 'Clabel': '40a2', 'Cnumber': 2, 'abc_quality': 1.1363232938776144, 'absD': 5120, 'adelic_genus': 3, 'adelic_index': 192, 'adelic_level': 80, 'ainvs': [0, 0, 0, -107, -426], 'analytic_rank': 0, 'bad_primes': [2, 5], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 40, 'degree': 4, 'elladic_images': ['16.48.0.55'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.20221378199618991273847993622', 'prec': 107}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2, 4], 'jinv': [132304644, 5], 'lmfdb_iso': '40.a', 'lmfdb_label': '40.a1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, -107, -426], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.2', '8.24.0-8.o.1.3', '10.6.0.a.1', '16.48.0-16.i.1.3', '20.24.0-20.g.1.1', '40.96.0-40.bq.1.6', '80.192.3.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 2, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 5], [5, 6, 8]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.77983643246281100391950670410', 'prec': 107}, 'szpiro_ratio': 6.94847577833529, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
90. lmfdb_label: 40.a2
    {'Ciso': '40a', 'Clabel': '40a1', 'Cnumber': 1, 'abc_quality': 1.0917548251330267, 'absD': 6400, 'adelic_genus': 3, 'adelic_index': 192, 'adelic_level': 40, 'ainvs': [0, 0, 0, -7, -6], 'analytic_rank': 0, 'bad_primes': [2, 5], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 40, 'degree': 2, 'elladic_images': ['8.48.0.39'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.54878737227616256744709599695', 'prec': 107}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2], 'jinv': [148176, 25], 'lmfdb_iso': '40.a', 'lmfdb_label': '40.a2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, -7, -6], 'min_quad_twist_disc': 1, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.24.0-4.a.1.1', '8.48.0-8.g.1.1', '20.48.0-20.b.1.1', '40.192.3-40.bk.1.5'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 2, 'num_int_pts': 3, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 1], [5, 6, 8]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.0108854926494594403919174113', 'prec': 103}, 'szpiro_ratio': 4.730795271834492, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
91. lmfdb_label: 40.a3
    {'Ciso': '40a', 'Clabel': '40a3', 'Cnumber': 3, 'abc_quality': 1.018975235452531, 'absD': 80, 'adelic_genus': 3, 'adelic_index': 192, 'adelic_level': 80, 'ainvs': [0, 0, 0, -2, 1], 'analytic_rank': 0, 'bad_primes': [2, 5], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 40, 'degree': 4, 'elladic_images': ['16.48.0.39'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.89536096255613522215571205768', 'prec': 107}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2, 4], 'jinv': [55296, 5], 'lmfdb_iso': '40.a', 'lmfdb_label': '40.a3', 'lmfdb_number': 3, 'manin_constant': 2, 'min_quad_twist_ainvs': [0, 0, 0, -2, 1], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.1', '8.24.0-8.o.1.1', '10.6.0.a.1', '16.48.0-16.i.1.1', '20.24.0-20.g.1.2', '40.96.0-40.bq.2.7', '80.192.3.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 2, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 5], [5, 6, 8]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.1264100227427836586281227648', 'prec': 103}, 'szpiro_ratio': 3.7119794085796602, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [4]}
92. lmfdb_label: 40.a4
    {'Ciso': '40a', 'Clabel': '40a4', 'Cnumber': 4, 'abc_quality': 1.0467057018818753, 'absD': 640000, 'adelic_genus': 3, 'adelic_index': 192, 'adelic_level': 80, 'ainvs': [0, 0, 0, 13, -34], 'analytic_rank': 0, 'bad_primes': [2, 5], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 40, 'degree': 4, 'elladic_images': ['4.48.0.2'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.20221378199618991273847993622', 'prec': 107}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2, 4], 'jinv': [237276, 625], 'lmfdb_iso': '40.a', 'lmfdb_label': '40.a4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, 13, -34], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.48.0-4.c.1.1', '40.96.1-40.dk.1.1', '80.192.3.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 2, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 1], [5, 6, 8]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.77983643246281100391950670410', 'prec': 107}, 'szpiro_ratio': 5.577809424998608, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [4]}
93. lmfdb_label: 42.a1
    {'Ciso': '42a', 'Clabel': '42a4', 'Cnumber': 4, 'abc_quality': 1.0572692378622217, 'absD': 252, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 112, 'ainvs': [1, 1, 1, -1344, 18405], 'analytic_rank': 0, 'bad_primes': [2, 3, 7], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 42, 'degree': 16, 'elladic_images': ['16.96.0.103'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.18910119341772050884147105447', 'prec': 103}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [268498407453697, 252], 'lmfdb_iso': '42.a', 'lmfdb_label': '42.a1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -1344, 18405], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.1', '8.48.0-8.bb.2.4', '16.96.0-16.z.2.3', '28.24.0-28.h.1.2', '56.96.0-56.bl.1.5', '112.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': True, 'serre_invariants': [[2, 4, 7], [3, 4, 14], [7, 8, 6]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.18910119341772050884147105447', 'prec': 103}, 'szpiro_ratio': 8.888925317547928, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [4]}
94. lmfdb_label: 42.a2
    {'Ciso': '42a', 'Clabel': '42a5', 'Cnumber': 5, 'abc_quality': 1.0530860389430399, 'absD': 933897762, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 112, 'ainvs': [1, 1, 1, -914, -10915], 'analytic_rank': 0, 'bad_primes': [2, 3, 7], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 42, 'degree': 32, 'elladic_images': ['8.96.0.164'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.53567478369769316355008711520', 'prec': 103}, 'faltings_index': 4, 'faltings_ratio': 8, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [84448510979617, 933897762], 'lmfdb_iso': '42.a', 'lmfdb_label': '42.a2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -914, -10915], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.2', '8.96.0-8.p.1.4', '112.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': True, 'serre_invariants': [[2, 4, 1], [3, 4, 14], [7, 8, 6]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.53567478369769316355008711520', 'prec': 103}, 'szpiro_ratio': 8.57945361735277, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
95. lmfdb_label: 42.a3
    {'Ciso': '42a', 'Clabel': '42a3', 'Cnumber': 3, 'abc_quality': 1.0649865394830864, 'absD': 63011844, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 56, 'ainvs': [1, 1, 1, -104, 101], 'analytic_rank': 0, 'bad_primes': [2, 3, 7], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 42, 'degree': 16, 'elladic_images': ['8.96.0.50'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.18910119341772050884147105447', 'prec': 103}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2, 4], 'jinv': [124475734657, 63011844], 'lmfdb_iso': '42.a', 'lmfdb_label': '42.a3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -104, 101], 'min_quad_twist_disc': 1, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.24.0-4.b.1.1', '8.96.0-8.f.1.1', '56.192.1-56.bp.2.4'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': True, 'serre_invariants': [[2, 4, 1], [3, 4, 14], [7, 8, 6]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.18910119341772050884147105447', 'prec': 103}, 'szpiro_ratio': 6.835108300244897, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
96. lmfdb_label: 42.a4
    {'Ciso': '42a', 'Clabel': '42a2', 'Cnumber': 2, 'abc_quality': 1.0169154011150379, 'absD': 63504, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 56, 'ainvs': [1, 1, 1, -84, 261], 'analytic_rank': 0, 'bad_primes': [2, 3, 7], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 42, 'degree': 8, 'elladic_images': ['8.96.0.37'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.15747239686225214586714500626', 'prec': 107}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2, 4], 'jinv': [65597103937, 63504], 'lmfdb_iso': '42.a', 'lmfdb_label': '42.a4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -84, 261], 'min_quad_twist_disc': 1, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.24.0-4.b.1.3', '8.96.0-8.i.1.2', '28.48.0-28.c.1.1', '56.192.1-56.by.1.7'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 6, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': True, 'serre_invariants': [[2, 4, 1], [3, 4, 14], [7, 8, 6]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.15747239686225214586714500626', 'prec': 107}, 'szpiro_ratio': 6.663723637526653, 'torsion': 8, 'torsion_primes': [2], 'torsion_structure': [2, 4]}
97. lmfdb_label: 42.a5
    {'Ciso': '42a', 'Clabel': '42a1', 'Cnumber': 1, 'abc_quality': 0.9822408596528094, 'absD': 16128, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 112, 'ainvs': [1, 1, 1, -4, 5], 'analytic_rank': 0, 'bad_primes': [2, 3, 7], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 42, 'degree': 4, 'elladic_images': ['16.96.0.98'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.50404598714222480057576106699', 'prec': 107}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [-7189057, 16128], 'lmfdb_iso': '42.a', 'lmfdb_label': '42.a5', 'lmfdb_number': 5, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -4, 5], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.1', '8.48.0-8.bb.1.1', '14.6.0.b.1', '16.96.0-16.z.1.2', '28.24.0-28.g.1.2', '56.96.0-56.bh.2.1', '112.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 7, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': True, 'serre_invariants': [[2, 4, 7], [3, 4, 14], [7, 8, 6]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.50404598714222480057576106699', 'prec': 107}, 'szpiro_ratio': 4.647955287455925, 'torsion': 8, 'torsion_primes': [2], 'torsion_structure': [8]}
98. lmfdb_label: 42.a6
    {'Ciso': '42a', 'Clabel': '42a6', 'Cnumber': 6, 'abc_quality': 1.083141850233532, 'absD': 4218578658, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 112, 'ainvs': [1, 1, 1, 386, 1277], 'analytic_rank': 0, 'bad_primes': [2, 3, 7], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 42, 'degree': 32, 'elladic_images': ['16.96.0.137'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.53567478369769316355008711520', 'prec': 103}, 'faltings_index': 5, 'faltings_ratio': 8, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [6359387729183, 4218578658], 'lmfdb_iso': '42.a', 'lmfdb_label': '42.a6', 'lmfdb_number': 6, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, 386, 1277], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.2', '8.48.0-8.k.1.6', '16.96.0-16.e.1.6', '56.96.0-56.bc.1.4', '112.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': True, 'serre_invariants': [[2, 4, 1], [3, 4, 14], [7, 8, 6]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.53567478369769316355008711520', 'prec': 103}, 'szpiro_ratio': 7.887522502106543, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
99. lmfdb_label: 43.a1
    {'Ciso': '43a', 'Clabel': '43a1', 'Cnumber': 1, 'abc_quality': 0.7806824713239316, 'absD': 43, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 86, 'ainvs': [0, 1, 1, 0, 0], 'analytic_rank': 1, 'bad_primes': [43], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 43, 'degree': 2, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '-1.0044304966130836284346407742', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 0, 'isogeny_degrees': [1], 'jinv': [-4096, 43], 'lmfdb_iso': '43.a', 'lmfdb_label': '43.a1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 1, 0, 0], 'min_quad_twist_disc': 1, 'modell_images': [], 'modm_images': ['86.2.0.?'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 1, 'num_int_pts': 10, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.062816507087487649265708791467', 'prec': 107}, 'semistable': True, 'serre_invariants': [[43, 44, 1]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.0044304966130836284346407742', 'prec': 103}, 'szpiro_ratio': 2.9962721630567635, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}