Database - ec_curvedata (Elliptic curves over $\Q$.)

Formats: - HTML - YAML - JSON - 2026-04-20T08:10:38.509978 - next page

Query: /api/ec_curvedata/?torsion_structure=li2&_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
intrinsic_torsion	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
squarefree_disc	boolean
stable_faltings_height	numeric
szpiro_ratio	double precision
torsion	smallint
torsion_primes	smallint[]
torsion_structure	smallint[]

0. 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, 'intrinsic_torsion': 1, '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]}
1. 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, 'intrinsic_torsion': 1, '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]}
2. 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, 'intrinsic_torsion': 2, '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]}
3. 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, 'intrinsic_torsion': 2, '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]}
4. 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, 'intrinsic_torsion': 2, '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]}
5. 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, 'intrinsic_torsion': 2, '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]}
6. 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, 'intrinsic_torsion': 1, '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]}
7. 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, 'intrinsic_torsion': 2, '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]}
8. 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, 'intrinsic_torsion': 2, '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]}
9. 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, 'intrinsic_torsion': 2, '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]}
10. 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, 'intrinsic_torsion': 2, '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]}
11. 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, 'intrinsic_torsion': 2, '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]}
12. 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, 'intrinsic_torsion': 2, '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]}
13. 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, 'intrinsic_torsion': 2, '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]}
14. 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, 'intrinsic_torsion': 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]}
15. 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, 'intrinsic_torsion': 2, '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]}
16. 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, 'intrinsic_torsion': 2, '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]}
17. 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, 'intrinsic_torsion': 1, '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]}
18. 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, 'intrinsic_torsion': 1, '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]}
19. 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, 'intrinsic_torsion': 1, '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]}
20. 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, 'intrinsic_torsion': 1, '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]}
21. 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, 'intrinsic_torsion': 2, '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]}
22. 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, 'intrinsic_torsion': 2, '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]}
23. 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, 'intrinsic_torsion': 2, '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]}
24. 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, 'intrinsic_torsion': 2, '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]}
25. 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, 'intrinsic_torsion': 2, '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]}
26. lmfdb_label: 45.a1
    {'Ciso': '45a', 'Clabel': '45a7', 'Cnumber': 7, 'abc_quality': 1.0735374703334082, 'absD': 295245, 'adelic_genus': 13, 'adelic_index': 768, 'adelic_level': 480, 'ainvs': [1, -1, 0, -19440, 1048135], 'analytic_rank': 0, 'bad_primes': [3, 5], 'class_deg': 16, 'class_size': 8, 'cm': 0, 'conductor': 45, 'degree': 32, 'elladic_images': ['32.96.0.51'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.84017575281115636767125824276', 'prec': 103}, 'faltings_index': 6, 'faltings_ratio': 16, 'intrinsic_torsion': 2, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2, 4, 8, 16], 'jinv': [1114544804970241, 405], 'lmfdb_iso': '45.a', 'lmfdb_label': '45.a1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -2160, -39540], 'min_quad_twist_disc': -3, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.24.0.bb.2', '10.6.0.a.1', '12.12.0-4.c.1.1', '16.48.0.x.2', '20.12.0.g.1', '24.48.0-8.bb.2.6', '32.96.0-16.x.2.4', '40.48.0.bj.1', '48.96.0-16.x.2.6', '60.24.0-20.g.1.1', '80.192.1.?', '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': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[3, 8, 5], [5, 6, 9]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.29086960847710152197363562430', 'prec': 103}, 'szpiro_ratio': 10.833347141395983, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
27. lmfdb_label: 45.a3
    {'Ciso': '45a', 'Clabel': '45a8', 'Cnumber': 8, 'abc_quality': 1.0594919023465201, 'absD': 156905298045, 'adelic_genus': 13, 'adelic_index': 768, 'adelic_level': 480, 'ainvs': [1, -1, 0, -990, 22765], 'analytic_rank': 0, 'bad_primes': [3, 5], 'class_deg': 16, 'class_size': 8, 'cm': 0, 'conductor': 45, 'degree': 32, 'elladic_images': ['32.96.0.67'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.84017575281115636767125824276', 'prec': 103}, 'faltings_index': 7, 'faltings_ratio': 16, 'intrinsic_torsion': 2, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2, 4, 8, 16], 'jinv': [-147281603041, 215233605], 'lmfdb_iso': '45.a', 'lmfdb_label': '45.a3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -110, -880], 'min_quad_twist_disc': -3, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.24.0.ba.2', '12.12.0-4.c.1.1', '16.48.0.u.2', '20.12.0.h.1', '24.48.0-8.ba.2.5', '32.96.0-16.u.2.4', '40.48.0.bm.2', '48.96.0-16.u.2.5', '60.24.0-20.h.1.1', '80.192.5.?', '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': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[3, 8, 5], [5, 6, 9]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.29086960847710152197363562430', 'prec': 103}, 'szpiro_ratio': 8.818023394379875, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
28. lmfdb_label: 45.a4
    {'Ciso': '45a', 'Clabel': '45a3', 'Cnumber': 3, 'abc_quality': 1.030187200332639, 'absD': 10935, 'adelic_genus': 13, 'adelic_index': 768, 'adelic_level': 480, 'ainvs': [1, -1, 0, -720, -7259], 'analytic_rank': 0, 'bad_primes': [3, 5], 'class_deg': 16, 'class_size': 8, 'cm': 0, 'conductor': 45, 'degree': 8, 'elladic_images': ['32.96.0.77'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.14702857225121105825402612130', 'prec': 103}, 'faltings_index': 3, 'faltings_ratio': 4, 'intrinsic_torsion': 2, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2, 4, 8, 16], 'jinv': [56667352321, 15], 'lmfdb_iso': '45.a', 'lmfdb_label': '45.a4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -80, 242], 'min_quad_twist_disc': -3, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.24.0-8.n.1.5', '12.12.0-4.c.1.2', '16.48.0-16.g.1.12', '20.12.0-4.c.1.1', '24.48.0-24.by.2.7', '32.96.0-32.e.1.12', '40.48.0-40.cb.2.9', '48.96.0-48.bs.1.3', '60.24.0-60.h.1.2', '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': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[3, 8, 5], [5, 6, 9]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.40227757208284378744359649716', 'prec': 107}, 'szpiro_ratio': 8.236122299074129, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
29. lmfdb_label: 45.a7
    {'Ciso': '45a', 'Clabel': '45a1', 'Cnumber': 1, 'abc_quality': 1.1980768440515948, 'absD': 10935, 'adelic_genus': 13, 'adelic_index': 768, 'adelic_level': 480, 'ainvs': [1, -1, 0, 0, -5], 'analytic_rank': 0, 'bad_primes': [3, 5], 'class_deg': 16, 'class_size': 8, 'cm': 0, 'conductor': 45, 'degree': 2, 'elladic_images': ['32.96.0.31'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.54611860830873425116320600016', 'prec': 107}, 'faltings_index': 0, 'faltings_ratio': 1, 'intrinsic_torsion': 2, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2, 4, 8, 16], 'jinv': [-1, 15], 'lmfdb_iso': '45.a', 'lmfdb_label': '45.a7', 'lmfdb_number': 7, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, 0, 0], 'min_quad_twist_disc': -3, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.24.0-8.n.1.1', '12.12.0-4.c.1.2', '16.48.0-16.g.1.16', '20.12.0-4.c.1.2', '24.48.0-24.bz.1.7', '30.6.0.a.1', '32.96.0-32.e.1.16', '40.48.0-40.cb.2.13', '48.96.0-48.bv.1.7', '60.24.0-60.g.1.4', '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': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[3, 8, 5], [5, 6, 9]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.0954247526427890968608286186', 'prec': 103}, 'szpiro_ratio': 4.401357490190439, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
30. lmfdb_label: 45.a8
    {'Ciso': '45a', 'Clabel': '45a6', 'Cnumber': 6, 'abc_quality': 1.0558519748642754, 'absD': 2562890625, 'adelic_genus': 13, 'adelic_index': 768, 'adelic_level': 480, 'ainvs': [1, -1, 0, 315, 1066], 'analytic_rank': 0, 'bad_primes': [3, 5], 'class_deg': 16, 'class_size': 8, 'cm': 0, 'conductor': 45, 'degree': 16, 'elladic_images': ['8.96.0.172'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.49360216253118371296264218203', 'prec': 103}, 'faltings_index': 4, 'faltings_ratio': 8, 'intrinsic_torsion': 2, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [4733169839, 3515625], 'lmfdb_iso': '45.a', 'lmfdb_label': '45.a8', 'lmfdb_number': 8, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, 35, -28], 'min_quad_twist_disc': -3, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0.d.1', '8.96.0-8.n.2.4', '12.24.0-4.d.1.1', '24.192.1-24.cv.2.1', '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': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 9], [3, 8, 5], [5, 6, 9]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.055703981802871132734980436431', 'prec': 110}, 'szpiro_ratio': 7.583949136762888, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
31. lmfdb_label: 46.a1
    {'Ciso': '46a', 'Clabel': '46a2', 'Cnumber': 2, 'abc_quality': 1.0808059891352588, 'absD': 16928, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 184, 'ainvs': [1, -1, 0, -170, -812], 'analytic_rank': 0, 'bad_primes': [2, 23], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 46, 'degree': 10, 'elladic_images': ['8.6.0.6'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.091908474344655752371034950140', 'prec': 110}, 'faltings_index': 1, 'faltings_ratio': 2, 'intrinsic_torsion': 1, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2], 'jinv': [545138290809, 16928], 'lmfdb_iso': '46.a', 'lmfdb_label': '46.a1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, -170, -812], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '8.6.0.b.1', '92.6.0.?', '184.12.0.?'], '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, 4, 1], [5, 2, 23], [23, 24, 2]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.091908474344655752371034950140', 'prec': 110}, 'szpiro_ratio': 7.058458221970641, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
32. lmfdb_label: 46.a2
    {'Ciso': '46a', 'Clabel': '46a1', 'Cnumber': 1, 'abc_quality': 1.0342185338851655, 'absD': 23552, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 184, 'ainvs': [1, -1, 0, -10, -12], 'analytic_rank': 0, 'bad_primes': [2, 23], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 46, 'degree': 5, 'elladic_images': ['8.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.43848206462462840707965101087', 'prec': 107}, 'faltings_index': 0, 'faltings_ratio': 1, 'intrinsic_torsion': 1, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2], 'jinv': [-116930169, 23552], 'lmfdb_iso': '46.a', 'lmfdb_label': '46.a2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, -10, -12], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '8.6.0.c.1', '46.6.0.a.1', '184.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 2, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': True, 'serre_invariants': [[2, 4, 23], [5, 2, 23], [23, 24, 2]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.43848206462462840707965101087', 'prec': 107}, 'szpiro_ratio': 4.930142729087303, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
33. lmfdb_label: 48.a2
    {'Ciso': '48a', 'Clabel': '48a2', 'Cnumber': 2, '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': 48, 'degree': 4, 'elladic_images': ['16.96.0.150'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.29877869579988461795039461610', 'prec': 107}, 'faltings_index': 2, 'faltings_ratio': 4, 'intrinsic_torsion': 2, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [28756228, 3], 'lmfdb_iso': '48.a', 'lmfdb_label': '48.a2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -64, 220], 'min_quad_twist_disc': -4, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.2', '8.48.0-8.bb.2.3', '12.24.0-12.h.1.1', '16.96.0-16.bb.2.3', '24.96.0-24.bn.1.1', '48.192.1-48.em.1.2'], '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, 3], [3, 4, 16]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.87640134626650570913142138398', 'prec': 107}, 'szpiro_ratio': 6.226965912002744, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
34. lmfdb_label: 48.a5
    {'Ciso': '48a', 'Clabel': '48a4', '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': 48, 'degree': 4, 'elladic_images': ['16.96.0.142'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.99192587635982992736762673756', 'prec': 107}, 'faltings_index': 0, 'faltings_ratio': 1, 'intrinsic_torsion': 2, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [2048, 3], 'lmfdb_iso': '48.a', 'lmfdb_label': '48.a5', 'lmfdb_number': 5, 'manin_constant': 2, 'min_quad_twist_ainvs': [0, -1, 0, 1, 0], 'min_quad_twist_disc': -4, '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.ba.1.1', '12.24.0-12.g.1.1', '16.96.0-16.y.1.1', '24.96.0-24.bi.2.1', '48.192.1-48.dt.1.2'], '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, 3], [3, 4, 16]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.2229749365464783638400374447', 'prec': 103}, 'szpiro_ratio': 2.7958486457337832, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
35. lmfdb_label: 49.a1
    {'Ciso': '49a', 'Clabel': '49a4', 'Cnumber': 4, 'abc_quality': 1.1980441775334598, 'absD': 40353607, 'ainvs': [1, -1, 0, -1822, 30393], 'analytic_rank': 0, 'bad_primes': [7], 'class_deg': 14, 'class_size': 4, 'cm': -28, 'conductor': 49, 'degree': 14, 'elladic_images': ['7.48.0.3'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.52039027575200689013698072272', 'prec': 103}, 'faltings_index': 3, 'faltings_ratio': 14, 'intrinsic_torsion': 1, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2, 7, 14], 'jinv': [16581375, 1], 'lmfdb_iso': '49.a', 'lmfdb_label': '49.a1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, -37, -78], 'min_quad_twist_disc': -7, 'modell_images': ['7B.1.2'], 'nonmax_primes': [7], 'nonmax_rad': 7, 'num_bad_primes': 1, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': True, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[7, 20, 1]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.93904233603947808869203383486', 'prec': 107}, 'szpiro_ratio': 8.771469225736265, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
36. lmfdb_label: 49.a2
    {'Ciso': '49a', 'Clabel': '49a3', 'Cnumber': 3, 'abc_quality': 0.9802957926219806, 'absD': 40353607, 'ainvs': [1, -1, 0, -107, 552], 'analytic_rank': 0, 'bad_primes': [7], 'class_deg': 14, 'class_size': 4, 'cm': -7, 'conductor': 49, 'degree': 7, 'elladic_images': ['7.48.0.3'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.17381668547203423542836466200', 'prec': 103}, 'faltings_index': 2, 'faltings_ratio': 7, 'intrinsic_torsion': 1, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2, 7, 14], 'jinv': [-3375, 1], 'lmfdb_iso': '49.a', 'lmfdb_label': '49.a2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, -2, -1], 'min_quad_twist_disc': -7, 'modell_images': ['7B.1.2'], 'nonmax_primes': [7], 'nonmax_rad': 7, 'num_bad_primes': 1, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': True, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[7, 20, 1]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.2856159263194507434006498956', 'prec': 103}, 'szpiro_ratio': 6.693725102160739, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
37. lmfdb_label: 49.a3
    {'Ciso': '49a', 'Clabel': '49a2', 'Cnumber': 2, 'abc_quality': 1.1980441775334598, 'absD': 343, 'ainvs': [1, -1, 0, -37, -78], 'analytic_rank': 0, 'bad_primes': [7], 'class_deg': 14, 'class_size': 4, 'cm': -28, 'conductor': 49, 'degree': 2, 'elladic_images': ['7.48.0.6'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.45256479877564976241569564900', 'prec': 107}, 'faltings_index': 1, 'faltings_ratio': 2, 'intrinsic_torsion': 1, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2, 7, 14], 'jinv': [16581375, 1], 'lmfdb_iso': '49.a', 'lmfdb_label': '49.a3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, -37, -78], 'min_quad_twist_disc': 1, 'modell_images': ['7B.1.5'], 'nonmax_primes': [7], 'nonmax_rad': 7, 'num_bad_primes': 1, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': True, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[7, 20, 1]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.93904233603947808869203383486', 'prec': 107}, 'szpiro_ratio': 5.771469225736265, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
38. lmfdb_label: 49.a4
    {'Ciso': '49a', 'Clabel': '49a1', 'Cnumber': 1, 'abc_quality': 0.9802957926219806, 'absD': 343, 'ainvs': [1, -1, 0, -2, -1], 'analytic_rank': 0, 'bad_primes': [7], 'class_deg': 14, 'class_size': 4, 'cm': -7, 'conductor': 49, 'degree': 1, 'elladic_images': ['7.48.0.6'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.79913838905562241712431170973', 'prec': 107}, 'faltings_index': 0, 'faltings_ratio': 1, 'intrinsic_torsion': 1, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2, 7, 14], 'jinv': [-3375, 1], 'lmfdb_iso': '49.a', 'lmfdb_label': '49.a4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, -2, -1], 'min_quad_twist_disc': 1, 'modell_images': ['7B.1.5'], 'nonmax_primes': [7], 'nonmax_rad': 7, 'num_bad_primes': 1, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': True, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[7, 20, 1]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.2856159263194507434006498956', 'prec': 103}, 'szpiro_ratio': 3.6937251021607387, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
39. lmfdb_label: 52.a1
    {'Ciso': '52a', 'Clabel': '52a2', 'Cnumber': 2, 'abc_quality': 1.2727904629543532, 'absD': 208, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 104, 'ainvs': [0, 0, 0, -4, -3], 'analytic_rank': 0, 'bad_primes': [2, 13], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 52, 'degree': 6, 'elladic_images': ['8.12.0.22'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.77787300645782210156375612217', 'prec': 107}, 'faltings_index': 0, 'faltings_ratio': 1, 'intrinsic_torsion': 2, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2], 'jinv': [442368, 13], 'lmfdb_iso': '52.a', 'lmfdb_label': '52.a1', 'lmfdb_number': 1, 'manin_constant': 2, 'min_quad_twist_ainvs': [0, 0, 0, -4, -3], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.b.1', '8.12.0-4.b.1.2', '26.6.0.b.1', '52.24.0.e.1', '104.48.0.?'], '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': False, 'serre_invariants': [[2, 2, 13], [13, 14, 4]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.0089220666444705380361668293', 'prec': 103}, 'szpiro_ratio': 3.991777586867249, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
40. lmfdb_label: 52.a2
    {'Ciso': '52a', 'Clabel': '52a1', 'Cnumber': 1, 'abc_quality': 1.0921945706283556, 'absD': 43264, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 104, 'ainvs': [0, 0, 0, 1, -10], 'analytic_rank': 0, 'bad_primes': [2, 13], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 52, 'degree': 3, 'elladic_images': ['8.12.0.37'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.43129941617784944685514006144', 'prec': 107}, 'faltings_index': 1, 'faltings_ratio': 2, 'intrinsic_torsion': 1, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2], 'jinv': [432, 169], 'lmfdb_iso': '52.a', 'lmfdb_label': '52.a2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, 1, -10], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.a.1', '8.12.0-4.a.1.1', '52.12.0.d.1', '104.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 2, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 1], [13, 14, 4]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.89339753655114631979996147574', 'prec': 107}, 'szpiro_ratio': 4.588002415124273, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
41. lmfdb_label: 55.a2
    {'Ciso': '55a', 'Clabel': '55a2', 'Cnumber': 2, 'abc_quality': 0.9459068014464316, 'absD': 73205, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 440, 'ainvs': [1, -1, 0, -29, -52], 'analytic_rank': 0, 'bad_primes': [5, 11], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 55, 'degree': 4, 'elladic_images': ['4.12.0.8'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.28566547997475890066298740964', 'prec': 107}, 'faltings_index': 3, 'faltings_ratio': 4, 'intrinsic_torsion': 2, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2, 4], 'jinv': [2749884201, 73205], 'lmfdb_iso': '55.a', 'lmfdb_label': '55.a2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, -29, -52], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.2', '10.6.0.a.1', '20.24.0-20.g.1.1', '88.24.0.?', '440.48.0.?'], '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, 5], [5, 6, 11], [11, 12, 5]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.28566547997475890066298740964', 'prec': 107}, 'szpiro_ratio': 5.4237627954437615, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
42. lmfdb_label: 55.a4
    {'Ciso': '55a', 'Clabel': '55a4', 'Cnumber': 4, 'abc_quality': 0.7920712085843463, 'absD': 55, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 440, 'ainvs': [1, -1, 0, 1, 0], 'analytic_rank': 0, 'bad_primes': [5, 11], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 55, 'degree': 4, 'elladic_images': ['8.12.0.6'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.97881266053470421008021953110', 'prec': 107}, 'faltings_index': 0, 'faltings_ratio': 1, 'intrinsic_torsion': 2, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2, 4], 'jinv': [59319, 55], 'lmfdb_iso': '55.a', 'lmfdb_label': '55.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', '20.12.0-4.c.1.2', '40.24.0-40.z.1.10', '44.12.0-4.c.1.2', '88.24.0.?', '110.6.0.?', '220.24.0.?', '440.48.0.?'], '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': [[5, 6, 11], [11, 12, 5]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.97881266053470421008021953110', 'prec': 107}, 'szpiro_ratio': 2.74264315702298, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
43. lmfdb_label: 56.a1
    {'Ciso': '56a', 'Clabel': '56a4', 'Cnumber': 4, 'abc_quality': 1.0465382471182303, 'absD': 14336, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 56, 'ainvs': [0, 0, 0, -299, 1990], 'analytic_rank': 0, 'bad_primes': [2, 7], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 56, 'degree': 8, 'elladic_images': ['8.24.0.103'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.0020328267985874883465435369936', 'prec': 113}, 'faltings_index': 3, 'faltings_ratio': 4, 'intrinsic_torsion': 2, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2, 4], 'jinv': [1443468546, 7], 'lmfdb_iso': '56.a', 'lmfdb_label': '56.a1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, -299, 1990], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.24.0-8.p.1.7', '28.12.0-4.c.1.1', '56.48.0-56.bp.1.3'], '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, 4, 7], [7, 8, 8]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.63741774231187068864567298166', 'prec': 107}, 'szpiro_ratio': 7.1335217290421475, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
44. lmfdb_label: 56.a2
    {'Ciso': '56a', 'Clabel': '56a3', 'Cnumber': 3, 'abc_quality': 1.1170620055320515, 'absD': 4917248, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 56, 'ainvs': [0, 0, 0, -59, -138], 'analytic_rank': 0, 'bad_primes': [2, 7], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 56, 'degree': 8, 'elladic_images': ['8.24.0.58'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.0020328267985874883465435369944', 'prec': 113}, 'faltings_index': 2, 'faltings_ratio': 4, 'intrinsic_torsion': 2, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2, 4], 'jinv': [11090466, 2401], 'lmfdb_iso': '56.a', 'lmfdb_label': '56.a2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, -59, -138], '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.k.1.1', '56.48.0-56.v.1.8'], '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], [7, 8, 8]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.63741774231187068864567298166', 'prec': 107}, 'szpiro_ratio': 5.924007936828446, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
45. lmfdb_label: 56.b1
    {'Ciso': '56b', 'Clabel': '56b2', 'Cnumber': 2, 'abc_quality': 1.080363610213567, 'absD': 100352, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 56, 'ainvs': [0, -1, 0, -40, -84], 'analytic_rank': 0, 'bad_primes': [2, 7], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 56, 'degree': 8, 'elladic_images': ['8.6.0.6'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.23466883556014264871132483940', 'prec': 107}, 'faltings_index': 1, 'faltings_ratio': 2, 'intrinsic_torsion': 1, 'iso_nlabel': 1, 'isogeny_degrees': [1, 2], 'jinv': [3543122, 49], 'lmfdb_iso': '56.b', 'lmfdb_label': '56.b1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -40, -84], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '8.6.0.b.1', '28.6.0.c.1', '56.12.0.k.1'], '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], [7, 8, 8]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.87005375107342584901045428407', 'prec': 107}, 'szpiro_ratio': 5.640535175042788, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
46. lmfdb_label: 56.b2
    {'Ciso': '56b', 'Clabel': '56b1', 'Cnumber': 1, 'abc_quality': 1.0348177494302118, 'absD': 7168, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 56, 'ainvs': [0, -1, 0, 0, -4], 'analytic_rank': 0, 'bad_primes': [2, 7], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 56, 'degree': 4, 'elladic_images': ['8.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.58124242584011530341994090013', 'prec': 107}, 'faltings_index': 0, 'faltings_ratio': 1, 'intrinsic_torsion': 1, 'iso_nlabel': 1, 'isogeny_degrees': [1, 2], 'jinv': [-4, 7], 'lmfdb_iso': '56.b', 'lmfdb_label': '56.b2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, 0, -4], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '8.6.0.c.1', '14.6.0.b.1', '56.12.0.n.1'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 2, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 7], [7, 8, 8]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.1588650763067363946009676680', 'prec': 103}, 'szpiro_ratio': 4.057392693109381, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
47. lmfdb_label: 57.c3
    {'Ciso': '57b', 'Clabel': '57b2', 'Cnumber': 2, 'abc_quality': 0.9626725733934746, 'absD': 57, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 456, 'ainvs': [1, 0, 1, -2, -1], 'analytic_rank': 0, 'bad_primes': [3, 19], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 57, 'degree': 6, 'elladic_images': ['8.12.0.6'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.93815584276277140308666449133', 'prec': 107}, 'faltings_index': 0, 'faltings_ratio': 1, 'intrinsic_torsion': 2, 'iso_nlabel': 2, 'isogeny_degrees': [1, 2, 4], 'jinv': [389017, 57], 'lmfdb_iso': '57.c', 'lmfdb_label': '57.c3', 'lmfdb_number': 3, 'manin_constant': 2, 'min_quad_twist_ainvs': [1, 0, 1, -2, -1], '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.z.1.4', '76.12.0.?', '114.6.0.?', '152.24.0.?', '228.24.0.?', '456.48.0.?'], '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, 19], [19, 20, 3]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.93815584276277140308666449133', 'prec': 107}, 'szpiro_ratio': 3.1835802889383236, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
48. lmfdb_label: 57.c4
    {'Ciso': '57b', 'Clabel': '57b4', 'Cnumber': 4, 'abc_quality': 0.9747386105988611, 'absD': 390963, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 456, 'ainvs': [1, 0, 1, 8, 29], 'analytic_rank': 0, 'bad_primes': [3, 19], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 57, 'degree': 6, 'elladic_images': ['4.12.0.8'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.24500866220282609366943236987', 'prec': 107}, 'faltings_index': 3, 'faltings_ratio': 4, 'intrinsic_torsion': 2, 'iso_nlabel': 2, 'isogeny_degrees': [1, 2, 4], 'jinv': [67419143, 390963], 'lmfdb_iso': '57.c', 'lmfdb_label': '57.c4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, 8, 29], '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', '12.24.0-12.g.1.1', '152.24.0.?', '456.48.0.?'], '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, 3], [3, 4, 19], [19, 20, 3]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.24500866220282609366943236987', 'prec': 107}, 'szpiro_ratio': 5.002646594097255, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
49. lmfdb_label: 62.a1
    {'Ciso': '62a', 'Clabel': '62a4', 'Cnumber': 4, 'abc_quality': 1.0755914478549309, 'absD': 62, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 248, 'ainvs': [1, -1, 1, -331, 2397], 'analytic_rank': 0, 'bad_primes': [2, 31], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 62, 'degree': 8, 'elladic_images': ['8.24.0.103'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.10807768551903452703781947494', 'prec': 107}, 'faltings_index': 3, 'faltings_ratio': 4, 'intrinsic_torsion': 2, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2, 4], 'jinv': [3999236143617, 62], 'lmfdb_iso': '62.a', 'lmfdb_label': '62.a1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 1, -331, 2397], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.24.0-8.p.1.7', '124.12.0.?', '248.48.0.?'], '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, 4, 31], [31, 32, 2]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.10807768551903452703781947494', 'prec': 107}, 'szpiro_ratio': 7.03081649094392, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
50. lmfdb_label: 62.a2
    {'Ciso': '62a', 'Clabel': '62a3', 'Cnumber': 3, 'abc_quality': 1.1790775616093738, 'absD': 1847042, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 248, 'ainvs': [1, -1, 1, -31, 5], 'analytic_rank': 0, 'bad_primes': [2, 31], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 62, 'degree': 8, 'elladic_images': ['8.24.0.58'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.10807768551903452703781947494', 'prec': 107}, 'faltings_index': 2, 'faltings_ratio': 4, 'intrinsic_torsion': 2, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2, 4], 'jinv': [3196010817, 1847042], 'lmfdb_iso': '62.a', 'lmfdb_label': '62.a2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 1, -31, 5], '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.k.1.1', '248.48.0.?'], '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, 4, 1], [31, 32, 2]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.10807768551903452703781947494', 'prec': 107}, 'szpiro_ratio': 5.302751790368169, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
51. lmfdb_label: 63.a3
    {'Ciso': '63a', 'Clabel': '63a3', 'Cnumber': 3, 'abc_quality': 1.0015974661127929, 'absD': 33480783, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 336, 'ainvs': [1, -1, 0, -351, -2430], 'analytic_rank': 0, 'bad_primes': [3, 7], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 63, 'degree': 16, 'elladic_images': ['16.48.0.98'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.27693793744502196174727241240', 'prec': 103}, 'faltings_index': 2, 'faltings_ratio': 4, 'intrinsic_torsion': 2, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [6570725617, 45927], 'lmfdb_iso': '63.a', 'lmfdb_label': '63.a3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -39, 90], 'min_quad_twist_disc': -3, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.24.0.bb.1', '12.12.0-4.c.1.2', '16.48.0-8.bb.1.8', '24.48.0-8.bb.1.2', '28.12.0.h.1', '48.96.0-48.bf.1.1', '56.48.0.bl.2', '84.24.0.?', '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': False, 'serre_invariants': [[3, 8, 7], [7, 8, 9]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.27236820688903288395035020606', 'prec': 107}, 'szpiro_ratio': 7.047215639248732, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
52. lmfdb_label: 63.a4
    {'Ciso': '63a', 'Clabel': '63a6', 'Cnumber': 6, 'abc_quality': 1.042661241253942, 'absD': 12607619787, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 336, 'ainvs': [1, -1, 0, -306, 5859], 'analytic_rank': 0, 'bad_primes': [3, 7], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 63, 'degree': 32, 'elladic_images': ['8.48.0.183'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.62351152772499461645588847313', 'prec': 103}, 'faltings_index': 5, 'faltings_ratio': 8, 'intrinsic_torsion': 2, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [-4354703137, 17294403], 'lmfdb_iso': '63.a', 'lmfdb_label': '63.a4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -34, -217], 'min_quad_twist_disc': -3, '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.2.6', '12.24.0-12.g.1.1', '24.96.0-24.bj.1.6', '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': False, 'serre_invariants': [[2, 2, 9], [3, 8, 7], [7, 8, 9]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.074205383390939770758265854669', 'prec': 107}, 'szpiro_ratio': 7.445646727540435, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
53. lmfdb_label: 63.a6
    {'Ciso': '63a', 'Clabel': '63a1', 'Cnumber': 1, 'abc_quality': 0.9786808587681587, 'absD': 45927, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 336, 'ainvs': [1, -1, 0, 9, 0], 'analytic_rank': 0, 'bad_primes': [3, 7], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 63, 'degree': 4, 'elladic_images': ['16.48.0.84'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.41620924311492334766995970906', 'prec': 107}, 'faltings_index': 0, 'faltings_ratio': 1, 'intrinsic_torsion': 2, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [103823, 63], 'lmfdb_iso': '63.a', 'lmfdb_label': '63.a6', 'lmfdb_number': 6, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, 1, 0], 'min_quad_twist_disc': -3, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.24.0-8.n.1.1', '12.12.0-4.c.1.2', '14.6.0.b.1', '16.48.0-16.e.1.1', '24.48.0-24.bz.1.7', '28.12.0.g.1', '48.96.0-48.bd.1.1', '56.48.0-56.bf.1.4', '84.24.0.?', '112.96.0.?', '168.96.0.?', '336.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 2, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[3, 8, 7], [7, 8, 9]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.96551538744897819336758232752', 'prec': 107}, 'szpiro_ratio': 4.378838182976427, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
54. lmfdb_label: 64.a1
    {'Ciso': '64a', 'Clabel': '64a2', 'Cnumber': 2, 'abc_quality': 1.172456969504371, 'absD': 32768, 'ainvs': [0, 0, 0, -44, -112], 'analytic_rank': 0, 'bad_primes': [2], 'class_deg': 4, 'class_size': 4, 'cm': -16, 'conductor': 64, 'degree': 4, 'elladic_images': ['16.192.3.563'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.27081215507159155412642690112', 'prec': 107}, 'faltings_index': 2, 'faltings_ratio': 4, 'intrinsic_torsion': 2, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2, 4], 'jinv': [287496, 1], 'lmfdb_iso': '64.a', 'lmfdb_label': '64.a1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, -11, -14], 'min_quad_twist_disc': 8, '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': 5.522197059679227, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
55. lmfdb_label: 64.a4
    {'Ciso': '64a', 'Clabel': '64a4', 'Cnumber': 4, 'absD': 64, 'ainvs': [0, 0, 0, 1, 0], 'analytic_rank': 0, 'bad_primes': [2], 'class_deg': 4, 'class_size': 4, 'cm': -4, 'conductor': 64, 'degree': 4, 'elladic_images': ['16.384.9.600'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.96395933563153686354365902258', 'prec': 107}, 'faltings_index': 0, 'faltings_ratio': 1, 'intrinsic_torsion': 2, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2, 4], 'jinv': [1728, 1], 'lmfdb_iso': '64.a', 'lmfdb_label': '64.a4', 'lmfdb_number': 4, 'manin_constant': 2, 'min_quad_twist_ainvs': [0, 0, 0, 4, 0], 'min_quad_twist_disc': 8, '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, 2, 1]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.3105329259115095182522750833', 'prec': 103}, 'szpiro_ratio': 2.792481250360578, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
56. lmfdb_label: 65.a1
    {'Ciso': '65a', 'Clabel': '65a1', 'Cnumber': 1, 'abc_quality': 0.9568076435408001, 'absD': 65, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 520, 'ainvs': [1, 0, 0, -1, 0], 'analytic_rank': 1, 'bad_primes': [5, 13], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 65, 'degree': 2, 'elladic_images': ['8.12.0.22'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.96161523729216172163187933912', 'prec': 107}, 'faltings_index': 0, 'faltings_ratio': 1, 'intrinsic_torsion': 2, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2], 'jinv': [117649, 65], 'lmfdb_iso': '65.a', 'lmfdb_label': '65.a1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -1, 0], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.b.1', '8.12.0-4.b.1.2', '130.6.0.?', '260.24.0.?', '520.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 2, 'num_int_pts': 7, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.37551409866126632180447287682', 'prec': 103}, 'semistable': True, 'serre_invariants': [[5, 6, 13], [13, 14, 5]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.96161523729216172163187933912', 'prec': 107}, 'szpiro_ratio': 2.7969280614023564, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
57. lmfdb_label: 65.a2
    {'Ciso': '65a', 'Clabel': '65a2', 'Cnumber': 2, 'abc_quality': 0.8991385141629263, 'absD': 4225, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 520, 'ainvs': [1, 0, 0, 4, 1], 'analytic_rank': 1, 'bad_primes': [5, 13], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 65, 'degree': 4, 'elladic_images': ['8.12.0.37'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.61504164701218906692326327839', 'prec': 107}, 'faltings_index': 1, 'faltings_ratio': 2, 'intrinsic_torsion': 1, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2], 'jinv': [6967871, 4225], 'lmfdb_iso': '65.a', 'lmfdb_label': '65.a2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, 4, 1], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.a.1', '8.12.0-4.a.1.1', '260.12.0.?', '520.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 2, 'num_int_pts': 12, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.18775704933063316090223643841', 'prec': 103}, 'semistable': True, 'serre_invariants': [[2, 2, 1], [5, 6, 13], [13, 14, 5]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.61504164701218906692326327839', 'prec': 107}, 'szpiro_ratio': 3.774642663792385, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
58. lmfdb_label: 66.a1
    {'Ciso': '66a', 'Clabel': '66a3', 'Cnumber': 3, 'abc_quality': 0.997746845851364, 'absD': 255552, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 264, 'ainvs': [1, 0, 1, -81, -284], 'analytic_rank': 0, 'bad_primes': [2, 3, 11], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 66, 'degree': 12, 'elladic_images': ['8.6.0.4', '3.8.0.2'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.11007697415527976156287935255', 'prec': 107}, 'faltings_index': 2, 'faltings_ratio': 3, 'intrinsic_torsion': 1, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [57736239625, 255552], 'lmfdb_iso': '66.a', 'lmfdb_label': '66.a1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -81, -284], '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.d.1', '24.48.0-24.bx.1.11', '66.48.0-66.b.1.3', '264.96.1.?'], '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, 33], [3, 4, 1], [11, 12, 6]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.11007697415527976156287935255', 'prec': 107}, 'szpiro_ratio': 5.91436583890909, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
59. lmfdb_label: 66.a2
    {'Ciso': '66a', 'Clabel': '66a4', 'Cnumber': 4, 'abc_quality': 1.0528666156799333, 'absD': 127552392, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 264, 'ainvs': [1, 0, 1, -41, -556], 'analytic_rank': 0, 'bad_primes': [2, 3, 11], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 66, 'degree': 24, 'elladic_images': ['8.6.0.5', '3.8.0.2'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.23649661612469289314573670818', 'prec': 103}, 'faltings_index': 3, 'faltings_ratio': 6, 'intrinsic_torsion': 1, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [-7357983625, 127552392], 'lmfdb_iso': '66.a', 'lmfdb_label': '66.a2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -41, -556], '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.a.1', '24.48.0-24.p.1.13', '132.48.0.?', '264.96.1.?'], '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, 1], [3, 4, 1], [11, 12, 6]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.23649661612469289314573670818', 'prec': 103}, 'szpiro_ratio': 6.241945287644038, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
60. lmfdb_label: 66.b1
    {'Ciso': '66b', 'Clabel': '66b3', 'Cnumber': 3, 'abc_quality': 1.0237597269657934, 'absD': 66, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 264, 'ainvs': [1, 1, 1, -352, -2689], 'analytic_rank': 0, 'bad_primes': [2, 3, 11], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 66, 'degree': 16, 'elladic_images': ['8.24.0.102'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.094953900850670871486256809047', 'prec': 110}, 'faltings_index': 2, 'faltings_ratio': 4, 'intrinsic_torsion': 2, 'iso_nlabel': 1, 'isogeny_degrees': [1, 2, 4], 'jinv': [4824238966273, 66], 'lmfdb_iso': '66.b', 'lmfdb_label': '66.b1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -352, -2689], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.24.0-8.m.1.5', '132.12.0.?', '264.48.0.?'], '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, 33], [3, 4, 22], [11, 12, 6]], 'sha': 4, 'sha_primes': [2], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.094953900850670871486256809047', 'prec': 110}, 'szpiro_ratio': 6.970663672624351, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
61. lmfdb_label: 66.b3
    {'Ciso': '66b', 'Clabel': '66b4', 'Cnumber': 4, 'abc_quality': 1.0250656507343525, 'absD': 2371842, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 264, 'ainvs': [1, 1, 1, -12, -81], 'analytic_rank': 0, 'bad_primes': [2, 3, 11], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 66, 'degree': 16, 'elladic_images': ['8.24.0.59'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.094953900850670871486256809045', 'prec': 110}, 'faltings_index': 3, 'faltings_ratio': 4, 'intrinsic_torsion': 2, 'iso_nlabel': 1, 'isogeny_degrees': [1, 2, 4], 'jinv': [-192100033, 2371842], 'lmfdb_iso': '66.b', 'lmfdb_label': '66.b3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -12, -81], '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.d.1.1', '264.48.0.?'], '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, 22], [11, 12, 6]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.094953900850670871486256809045', 'prec': 110}, 'szpiro_ratio': 5.293921291823361, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
62. lmfdb_label: 66.c1
    {'Ciso': '66c', 'Clabel': '66c3', 'Cnumber': 3, 'abc_quality': 1.0637869122465706, 'absD': 1932612, 'adelic_genus': 5, 'adelic_index': 288, 'adelic_level': 1320, 'ainvs': [1, 0, 0, -10065, -389499], 'analytic_rank': 0, 'bad_primes': [2, 3, 11], 'class_deg': 10, 'class_size': 4, 'cm': 0, 'conductor': 66, 'degree': 100, 'elladic_images': ['8.6.0.4', '5.24.0.3'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.74785326639654765811527565409', 'prec': 103}, 'faltings_index': 2, 'faltings_ratio': 5, 'intrinsic_torsion': 1, 'iso_nlabel': 2, 'isogeny_degrees': [1, 2, 5, 10], 'jinv': [112763292123580561, 1932612], 'lmfdb_iso': '66.c', 'lmfdb_label': '66.c1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -10065, -389499], 'min_quad_twist_disc': 1, 'modell_images': ['2B', '5B.1.2'], 'modm_images': ['2.3.0.a.1', '5.24.0-5.a.2.2', '8.6.0.d.1', '10.72.0-10.a.1.2', '40.144.1-40.t.1.4', '66.6.0.a.1', '264.12.0.?', '330.144.1.?', '1320.288.5.?'], 'nonmax_primes': [2, 5], 'nonmax_rad': 10, 'num_bad_primes': 3, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': True, 'serre_invariants': [[2, 4, 33], [3, 4, 22], [5, 2, 6], [11, 12, 6]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.74785326639654765811527565409', 'prec': 103}, 'szpiro_ratio': 9.371671336713842, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
63. lmfdb_label: 66.c2
    {'Ciso': '66c', 'Clabel': '66c4', 'Cnumber': 4, 'abc_quality': 1.0638684203296611, 'absD': 466873642818, 'adelic_genus': 5, 'adelic_index': 288, 'adelic_level': 1320, 'ainvs': [1, 0, 0, -10055, -390309], 'analytic_rank': 0, 'bad_primes': [2, 3, 11], 'class_deg': 10, 'class_size': 4, 'cm': 0, 'conductor': 66, 'degree': 200, 'elladic_images': ['8.6.0.5', '5.24.0.3'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.0944268566765203128238917148', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 10, 'intrinsic_torsion': 1, 'iso_nlabel': 2, 'isogeny_degrees': [1, 2, 5, 10], 'jinv': [-112427521449300721, 466873642818], 'lmfdb_iso': '66.c', 'lmfdb_label': '66.c2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -10055, -390309], 'min_quad_twist_disc': 1, 'modell_images': ['2B', '5B.1.2'], 'modm_images': ['2.3.0.a.1', '5.24.0-5.a.2.2', '8.6.0.a.1', '10.72.0-10.a.1.2', '40.144.1-40.c.2.13', '132.6.0.?', '264.12.0.?', '660.144.1.?', '1320.288.5.?'], 'nonmax_primes': [2, 5], 'nonmax_rad': 10, '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, 22], [5, 2, 6], [11, 12, 6]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.0944268566765203128238917148', 'prec': 100}, 'szpiro_ratio': 9.372666186519007, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
64. lmfdb_label: 69.a1
    {'Ciso': '69a', 'Clabel': '69a2', 'Cnumber': 2, 'abc_quality': 0.9246304097924353, 'absD': 1587, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 276, 'ainvs': [1, 0, 1, -16, -25], 'analytic_rank': 0, 'bad_primes': [3, 23], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 69, 'degree': 4, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.52739354827166909392101445569', 'prec': 107}, 'faltings_index': 1, 'faltings_ratio': 2, 'intrinsic_torsion': 1, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2], 'jinv': [413493625, 1587], 'lmfdb_iso': '69.a', 'lmfdb_label': '69.a1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -16, -25], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '12.6.0.a.1', '92.6.0.?', '276.12.0.?'], '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, 3], [3, 4, 23], [23, 24, 3]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.52739354827166909392101445569', 'prec': 107}, 'szpiro_ratio': 4.685794425245767, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
65. lmfdb_label: 69.a2
    {'Ciso': '69a', 'Clabel': '69a1', 'Cnumber': 1, 'abc_quality': 0.9906117492663808, 'absD': 207, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 276, 'ainvs': [1, 0, 1, -1, -1], 'analytic_rank': 0, 'bad_primes': [3, 23], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 69, 'degree': 2, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.87396713855164174862963051642', 'prec': 107}, 'faltings_index': 0, 'faltings_ratio': 1, 'intrinsic_torsion': 1, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2], 'jinv': [-15625, 207], 'lmfdb_iso': '69.a', 'lmfdb_label': '69.a2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -1, -1], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '12.6.0.b.1', '46.6.0.a.1', '276.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 2, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': True, 'serre_invariants': [[2, 2, 23], [3, 4, 23], [23, 24, 3]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.87396713855164174862963051642', 'prec': 107}, 'szpiro_ratio': 3.030201036372744, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
66. lmfdb_label: 70.a1
    {'Ciso': '70a', 'Clabel': '70a3', 'Cnumber': 3, 'abc_quality': 1.0195919976571242, 'absD': 120050, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 56, 'ainvs': [1, -1, 1, -268, -1619], 'analytic_rank': 0, 'bad_primes': [2, 5, 7], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 70, 'degree': 16, 'elladic_images': ['8.24.0.58'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.038987671614636246397705984290', 'prec': 107}, 'faltings_index': 2, 'faltings_ratio': 4, 'intrinsic_torsion': 2, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2, 4], 'jinv': [2121328796049, 120050], 'lmfdb_iso': '70.a', 'lmfdb_label': '70.a1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 1, -268, -1619], '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.k.1.1', '56.48.0-56.v.1.8'], '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], [5, 6, 14], [7, 8, 10]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.038987671614636246397705984290', 'prec': 107}, 'szpiro_ratio': 6.68073333775448, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
67. lmfdb_label: 70.a2
    {'Ciso': '70a', 'Clabel': '70a4', 'Cnumber': 4, 'abc_quality': 0.9996207719579945, 'absD': 5468750, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 56, 'ainvs': [1, -1, 1, -88, 317], 'analytic_rank': 0, 'bad_primes': [2, 5, 7], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 70, 'degree': 16, 'elladic_images': ['8.24.0.103'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.038987671614636246397705984290', 'prec': 107}, 'faltings_index': 3, 'faltings_ratio': 4, 'intrinsic_torsion': 2, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2, 4], 'jinv': [74565301329, 5468750], 'lmfdb_iso': '70.a', 'lmfdb_label': '70.a2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 1, -88, 317], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.24.0-8.p.1.7', '28.12.0-4.c.1.1', '56.48.0-56.bp.1.3'], '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, 7], [5, 6, 14], [7, 8, 10]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.038987671614636246397705984290', 'prec': 107}, 'szpiro_ratio': 5.892660737507508, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
68. lmfdb_label: 72.a1
    {'Ciso': '72a', 'Clabel': '72a5', 'Cnumber': 5, 'abc_quality': 1.2105879594055395, 'absD': 13436928, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 48, 'ainvs': [0, 0, 0, -3459, 78302], 'analytic_rank': 0, 'bad_primes': [2, 3], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 72, 'degree': 32, 'elladic_images': ['16.96.0.233'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.59710103881414288245584406309', 'prec': 103}, 'faltings_index': 5, 'faltings_ratio': 8, 'intrinsic_torsion': 2, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [3065617154, 9], 'lmfdb_iso': '72.a', 'lmfdb_label': '72.a1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -384, -2772], 'min_quad_twist_disc': -3, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.48.0-8.r.1.4', '12.12.0-4.c.1.1', '16.96.0-16.l.1.3', '24.96.0-24.bf.1.3', '48.192.1-48.bv.1.2'], '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, 9], [3, 8, 8]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.58759002103319516354090800004', 'prec': 107}, 'szpiro_ratio': 8.431756526233467, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
69. lmfdb_label: 72.a2
    {'Ciso': '72a', 'Clabel': '72a3', 'Cnumber': 3, 'abc_quality': 1.0561716345991692, 'absD': 2239488, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 48, 'ainvs': [0, 0, 0, -579, -5362], 'analytic_rank': 0, 'bad_primes': [2, 3], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 72, 'degree': 16, 'elladic_images': ['16.96.0.170'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.25052744853417022774722800236', 'prec': 103}, 'faltings_index': 2, 'faltings_ratio': 4, 'intrinsic_torsion': 2, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [28756228, 3], 'lmfdb_iso': '72.a', 'lmfdb_label': '72.a2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -64, 220], 'min_quad_twist_disc': -3, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.2', '8.48.0-8.bb.2.6', '12.24.0-12.h.1.1', '16.96.0-16.bb.2.6', '24.96.0-24.bn.1.7', '48.192.1-48.em.1.8'], '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, 9], [3, 8, 8]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.87640134626650570913142138398', 'prec': 107}, 'szpiro_ratio': 7.177906717792906, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
70. lmfdb_label: 72.a6
    {'Ciso': '72a', 'Clabel': '72a6', 'Cnumber': 6, 'abc_quality': 1.1597991410868231, 'absD': 9795520512, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 48, 'ainvs': [0, 0, 0, 141, 4718], 'analytic_rank': 0, 'bad_primes': [2, 3], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 72, 'degree': 32, 'elladic_images': ['16.96.0.249'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.59710103881414288245584406309', 'prec': 103}, 'faltings_index': 4, 'faltings_ratio': 8, 'intrinsic_torsion': 2, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [207646, 6561], 'lmfdb_iso': '72.a', 'lmfdb_label': '72.a6', 'lmfdb_number': 6, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, 16, -180], 'min_quad_twist_disc': -3, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.48.0.m.1', '12.12.0-4.c.1.1', '16.96.0-8.m.1.4', '24.96.0-8.m.1.1', '48.192.1-48.w.2.3'], '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, 4, 9], [3, 8, 8]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.58759002103319516354090800004', 'prec': 107}, 'szpiro_ratio': 7.118027269462667, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
71. lmfdb_label: 73.a1
    {'Ciso': '73a', 'Clabel': '73a2', 'Cnumber': 2, 'abc_quality': 0.9785811144712214, 'absD': 73, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 584, 'ainvs': [1, -1, 0, -1, 0], 'analytic_rank': 0, 'bad_primes': [73], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 73, 'degree': 6, 'elladic_images': ['8.12.0.22'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.94397638533440280781878238600', 'prec': 107}, 'faltings_index': 0, 'faltings_ratio': 1, 'intrinsic_torsion': 2, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2], 'jinv': [185193, 73], 'lmfdb_iso': '73.a', 'lmfdb_label': '73.a1', 'lmfdb_number': 1, '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.b.1', '8.12.0-4.b.1.2', '146.6.0.?', '292.24.0.?', '584.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 1, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': True, 'serre_invariants': [[73, 74, 1]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.94397638533440280781878238600', 'prec': 107}, 'szpiro_ratio': 2.8270058183459117, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
72. lmfdb_label: 73.a2
    {'Ciso': '73a', 'Clabel': '73a1', 'Cnumber': 1, 'abc_quality': 0.886710956009421, 'absD': 5329, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 584, 'ainvs': [1, -1, 0, 4, -3], 'analytic_rank': 0, 'bad_primes': [73], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 73, 'degree': 3, 'elladic_images': ['8.12.0.37'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.59740279505443015311016632527', 'prec': 107}, 'faltings_index': 1, 'faltings_ratio': 2, 'intrinsic_torsion': 1, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2], 'jinv': [6128487, 5329], 'lmfdb_iso': '73.a', 'lmfdb_label': '73.a2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, 4, -3], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.a.1', '8.12.0-4.a.1.1', '292.12.0.?', '584.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 1, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': True, 'serre_invariants': [[2, 2, 1], [73, 74, 1]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.59740279505443015311016632527', 'prec': 107}, 'szpiro_ratio': 3.642607201605692, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
73. lmfdb_label: 75.b1
    {'Ciso': '75b', 'Clabel': '75b7', 'Cnumber': 7, 'abc_quality': 1.0735374703334082, 'absD': 6328125, 'adelic_genus': 13, 'adelic_index': 768, 'adelic_level': 480, 'ainvs': [1, 0, 1, -54001, -4834477], 'analytic_rank': 0, 'bad_primes': [3, 5], 'class_deg': 16, 'class_size': 8, 'cm': 0, 'conductor': 75, 'degree': 96, 'elladic_images': ['16.96.0.168'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.0955885646941517092740152909', 'prec': 100}, 'faltings_index': 6, 'faltings_ratio': 16, 'intrinsic_torsion': 2, 'iso_nlabel': 1, 'isogeny_degrees': [1, 2, 4, 8, 16], 'jinv': [1114544804970241, 405], 'lmfdb_iso': '75.b', 'lmfdb_label': '75.b1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -2160, -39540], 'min_quad_twist_disc': 5, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.2', '8.48.0-8.bb.2.6', '10.6.0.a.1', '16.96.0-16.x.2.5', '20.24.0-20.g.1.1', '40.96.0-40.bj.1.7', '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': False, 'serre_invariants': [[2, 2, 25], [3, 4, 25], [5, 18, 3]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.29086960847710152197363562429', 'prec': 103}, 'szpiro_ratio': 10.261487415681788, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
74. lmfdb_label: 75.b4
    {'Ciso': '75b', 'Clabel': '75b4', 'Cnumber': 4, 'abc_quality': 1.030187200332639, 'absD': 234375, 'adelic_genus': 13, 'adelic_index': 768, 'adelic_level': 480, 'ainvs': [1, 0, 1, -2001, 34273], 'analytic_rank': 0, 'bad_primes': [3, 5], 'class_deg': 16, 'class_size': 8, 'cm': 0, 'conductor': 75, 'degree': 24, 'elladic_images': ['32.96.0.29'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.40244138413420639985678316945', 'prec': 103}, 'faltings_index': 2, 'faltings_ratio': 4, 'intrinsic_torsion': 2, 'iso_nlabel': 1, 'isogeny_degrees': [1, 2, 4, 8, 16], 'jinv': [56667352321, 15], 'lmfdb_iso': '75.b', 'lmfdb_label': '75.b4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -80, 242], 'min_quad_twist_disc': 5, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.24.0-8.n.1.1', '12.12.0-4.c.1.1', '16.48.0-16.g.1.1', '20.12.0-4.c.1.2', '24.48.0-24.by.2.2', '32.96.0-32.e.1.1', '40.48.0-40.cb.2.4', '48.96.0-48.bs.1.10', '60.24.0-60.h.1.4', '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': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[3, 4, 25], [5, 18, 3]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.40227757208284378744359649716', 'prec': 107}, 'szpiro_ratio': 7.97155444429294, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
75. lmfdb_label: 75.b7
    {'Ciso': '75b', 'Clabel': '75b1', 'Cnumber': 1, 'abc_quality': 1.1980768440515948, 'absD': 234375, 'adelic_genus': 13, 'adelic_index': 768, 'adelic_level': 480, 'ainvs': [1, 0, 1, -1, 23], 'analytic_rank': 0, 'bad_primes': [3, 5], 'class_deg': 16, 'class_size': 8, 'cm': 0, 'conductor': 75, 'degree': 6, 'elladic_images': ['32.96.0.29'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.29070579642573890956044895201', 'prec': 107}, 'faltings_index': 0, 'faltings_ratio': 1, 'intrinsic_torsion': 2, 'iso_nlabel': 1, 'isogeny_degrees': [1, 2, 4, 8, 16], 'jinv': [-1, 15], 'lmfdb_iso': '75.b', 'lmfdb_label': '75.b7', 'lmfdb_number': 7, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, 0, 0], 'min_quad_twist_disc': 5, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.24.0-8.n.1.1', '12.12.0-4.c.1.2', '16.48.0-16.g.1.1', '20.12.0-4.c.1.2', '24.48.0-24.bz.1.10', '30.6.0.a.1', '32.96.0-32.e.1.1', '40.48.0-40.cb.2.4', '48.96.0-48.bv.1.10', '60.24.0-60.g.1.4', '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': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[3, 4, 25], [5, 18, 3]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.0954247526427890968608286186', 'prec': 103}, 'szpiro_ratio': 4.590501625802992, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
76. lmfdb_label: 75.b8
    {'Ciso': '75b', 'Clabel': '75b6', 'Cnumber': 6, 'abc_quality': 1.0558519748642754, 'absD': 54931640625, 'adelic_genus': 13, 'adelic_index': 768, 'adelic_level': 480, 'ainvs': [1, 0, 1, 874, -5227], 'analytic_rank': 0, 'bad_primes': [3, 5], 'class_deg': 16, 'class_size': 8, 'cm': 0, 'conductor': 75, 'degree': 48, 'elladic_images': ['16.96.0.197'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.74901497441417905456539923018', 'prec': 103}, 'faltings_index': 4, 'faltings_ratio': 8, 'intrinsic_torsion': 2, 'iso_nlabel': 1, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [4733169839, 3515625], 'lmfdb_iso': '75.b', 'lmfdb_label': '75.b8', 'lmfdb_number': 8, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, 35, -28], 'min_quad_twist_disc': 5, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0.d.1', '8.48.0.n.2', '16.96.0-8.n.2.2', '20.24.0-4.d.1.1', '24.96.1.cv.2', '40.96.0-8.n.2.3', '48.192.1-24.cv.2.4', '80.192.1.?', '120.192.1.?', '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': False, 'serre_invariants': [[2, 2, 25], [3, 4, 25], [5, 18, 3]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.055703981802871132734980436433', 'prec': 110}, 'szpiro_ratio': 7.396543454448738, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
77. lmfdb_label: 77.c1
    {'Ciso': '77c', 'Clabel': '77c2', 'Cnumber': 2, 'abc_quality': 0.9774999492882014, 'absD': 1294139, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 308, 'ainvs': [1, 1, 0, -51, 110], 'analytic_rank': 0, 'bad_primes': [7, 11], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 77, 'degree': 12, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.086019561192148624933381460721', 'prec': 110}, 'faltings_index': 1, 'faltings_ratio': 2, 'intrinsic_torsion': 1, 'iso_nlabel': 2, 'isogeny_degrees': [1, 2], 'jinv': [15124197817, 1294139], 'lmfdb_iso': '77.c', 'lmfdb_label': '77.c1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -51, 110], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '28.6.0.c.1', '44.6.0.a.1', '308.12.0.?'], '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, 2, 11], [7, 8, 11], [11, 12, 7]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.086019561192148624933381460721', 'prec': 110}, 'szpiro_ratio': 5.396089264182926, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
78. lmfdb_label: 77.c2
    {'Ciso': '77c', 'Clabel': '77c1', 'Cnumber': 1, 'abc_quality': 0.8926246805538307, 'absD': 41503, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 308, 'ainvs': [1, 1, 0, 4, 11], 'analytic_rank': 0, 'bad_primes': [7, 11], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 77, 'degree': 6, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.43259315147212127964199752145', 'prec': 107}, 'faltings_index': 0, 'faltings_ratio': 1, 'intrinsic_torsion': 1, 'iso_nlabel': 2, 'isogeny_degrees': [1, 2], 'jinv': [4657463, 41503], 'lmfdb_iso': '77.c', 'lmfdb_label': '77.c2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, 4, 11], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '14.6.0.b.1', '44.6.0.b.1', '308.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 2, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': True, 'serre_invariants': [[2, 2, 7], [3, 2, 11], [7, 8, 11], [11, 12, 7]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.43259315147212127964199752145', 'prec': 107}, 'szpiro_ratio': 4.1486881635803154, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
79. lmfdb_label: 78.a2
    {'Ciso': '78a', 'Clabel': '78a3', 'Cnumber': 3, 'abc_quality': 1.0784914154165677, 'absD': 725251155408, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 312, 'ainvs': [1, 1, 0, -2339, -15747], 'analytic_rank': 0, 'bad_primes': [2, 3, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 78, 'degree': 160, 'elladic_images': ['4.12.0.8'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.96807765231754098127344359430', 'prec': 103}, 'faltings_index': 3, 'faltings_ratio': 4, 'intrinsic_torsion': 2, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2, 4], 'jinv': [1416134368422073, 725251155408], 'lmfdb_iso': '78.a', 'lmfdb_label': '78.a2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -2339, -15747], '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': 3, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': True, 'serre_invariants': [[2, 4, 13], [3, 4, 26], [5, 2, 26], [13, 14, 6]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.96807765231754098127344359430', 'prec': 103}, 'szpiro_ratio': 8.007582940800285, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
80. lmfdb_label: 78.a4
    {'Ciso': '78a', 'Clabel': '78a1', 'Cnumber': 1, 'abc_quality': 1.085841646160488, 'absD': 207028224, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 312, 'ainvs': [1, 1, 0, -19, 685], 'analytic_rank': 0, 'bad_primes': [2, 3, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 78, 'degree': 40, 'elladic_images': ['8.12.0.6'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.27493047175759567185621147284', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'intrinsic_torsion': 2, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2, 4], 'jinv': [-822656953, 207028224], 'lmfdb_iso': '78.a', 'lmfdb_label': '78.a4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -19, 685], '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': 3, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': True, 'serre_invariants': [[2, 4, 39], [3, 4, 26], [5, 2, 26], [13, 14, 6]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.27493047175759567185621147284', 'prec': 103}, 'szpiro_ratio': 6.106761691317382, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
81. lmfdb_label: 80.a3
    {'Ciso': '80a', 'Clabel': '80a2', 'Cnumber': 2, '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': 80, 'degree': 8, 'elladic_images': ['16.48.0.55'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.89536096255613522215571205768', 'prec': 107}, 'faltings_index': 0, 'faltings_ratio': 1, 'intrinsic_torsion': 2, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2, 4], 'jinv': [55296, 5], 'lmfdb_iso': '80.a', 'lmfdb_label': '80.a3', 'lmfdb_number': 3, 'manin_constant': 2, 'min_quad_twist_ainvs': [0, 0, 0, -2, 1], 'min_quad_twist_disc': -4, '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.2.5', '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, 16]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.1264100227427836586281227648', 'prec': 103}, 'szpiro_ratio': 3.1248200241536344, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
82. lmfdb_label: 80.b1
    {'Ciso': '80b', 'Clabel': '80b4', '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': 80, 'degree': 24, 'elladic_images': ['8.12.0.22', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.38064395118146512547640346211', 'prec': 107}, 'faltings_index': 2, 'faltings_ratio': 3, 'intrinsic_torsion': 2, 'iso_nlabel': 1, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [488095744, 125], 'lmfdb_iso': '80.b', 'lmfdb_label': '80.b1', 'lmfdb_number': 1, 'manin_constant': 2, 'min_quad_twist_ainvs': [0, 1, 0, -41, -116], 'min_quad_twist_disc': -4, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '4.6.0.b.1', '6.12.0.a.1', '8.12.0-4.b.1.2', '10.6.0.a.1', '12.48.0-12.f.1.2', '20.24.0.e.1', '24.96.0-24.bq.2.1', '30.24.0.a.1', '40.48.0-20.e.1.7', '60.192.3-60.bk.1.5', '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, 16], [5, 6, 16]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.61169301136811356194881416926', 'prec': 107}, 'szpiro_ratio': 5.198190874353204, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
83. lmfdb_label: 80.b2
    {'Ciso': '80b', 'Clabel': '80b3', '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': 80, 'degree': 12, 'elladic_images': ['8.12.0.37', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.034070360901492470767787401385', 'prec': 110}, 'faltings_index': 3, 'faltings_ratio': 6, 'intrinsic_torsion': 1, 'iso_nlabel': 1, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [-20720464, 15625], 'lmfdb_iso': '80.b', 'lmfdb_label': '80.b2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -36, -140], 'min_quad_twist_disc': -4, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '4.6.0.a.1', '6.24.0-6.a.1.3', '8.12.0-4.a.1.1', '12.48.0-12.d.1.9', '20.12.0.d.1', '24.96.0-24.bh.2.2', '40.48.0-40.bc.1.7', '60.96.1-60.h.1.1', '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, 16], [5, 6, 16]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.49616848127478934371260881569', 'prec': 107}, 'szpiro_ratio': 5.300298300158832, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
84. lmfdb_label: 80.b3
    {'Ciso': '80b', 'Clabel': '80b2', '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': 80, 'degree': 8, 'elladic_images': ['8.12.0.22', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.92995009551551997117402608057', 'prec': 107}, 'faltings_index': 0, 'faltings_ratio': 1, 'intrinsic_torsion': 2, 'iso_nlabel': 1, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [16384, 5], 'lmfdb_iso': '80.b', 'lmfdb_label': '80.b3', 'lmfdb_number': 3, 'manin_constant': 2, 'min_quad_twist_ainvs': [0, 1, 0, -1, 0], 'min_quad_twist_disc': -4, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '4.6.0.b.1', '6.12.0.a.1', '8.12.0-4.b.1.2', '10.6.0.a.1', '12.48.0-12.f.1.4', '20.24.0.e.1', '24.96.0-24.bq.1.1', '30.24.0.a.1', '40.48.0-20.e.1.7', '60.192.3-60.bk.1.7', '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], [5, 6, 16]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.1609991557021684076464367877', 'prec': 103}, 'szpiro_ratio': 2.8472326369160808, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
85. lmfdb_label: 80.b4
    {'Ciso': '80b', 'Clabel': '80b1', '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': 80, 'degree': 4, 'elladic_images': ['8.12.0.37', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.58337650523554731646541001985', 'prec': 107}, 'faltings_index': 1, 'faltings_ratio': 2, 'intrinsic_torsion': 1, 'iso_nlabel': 1, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [21296, 25], 'lmfdb_iso': '80.b', 'lmfdb_label': '80.b4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, 4, 4], 'min_quad_twist_disc': -4, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '4.6.0.a.1', '6.24.0-6.a.1.1', '8.12.0-4.a.1.1', '12.48.0-12.d.1.3', '20.12.0.d.1', '24.96.0-24.bh.1.10', '40.48.0-40.bc.1.7', '60.96.1-60.h.1.9', '120.384.9.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 2, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 1], [5, 6, 16]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.0454746256088441894102314342', 'prec': 103}, 'szpiro_ratio': 3.5462134960675056, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
86. lmfdb_label: 82.a1
    {'Ciso': '82a', 'Clabel': '82a2', 'Cnumber': 2, 'abc_quality': 0.8904800315898436, 'absD': 3362, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 328, 'ainvs': [1, 0, 1, -12, -16], 'analytic_rank': 1, 'bad_primes': [2, 41], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 82, 'degree': 8, 'elladic_images': ['8.6.0.6'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.53158001088427622742284127210', 'prec': 107}, 'faltings_index': 1, 'faltings_ratio': 2, 'intrinsic_torsion': 1, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2], 'jinv': [169112377, 3362], 'lmfdb_iso': '82.a', 'lmfdb_label': '82.a1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -12, -16], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '8.6.0.b.1', '164.6.0.?', '328.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 2, 'num_int_pts': 6, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.44941384983775616445759072027', 'prec': 103}, 'semistable': True, 'serre_invariants': [[2, 4, 1], [41, 42, 2]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.53158001088427622742284127210', 'prec': 107}, 'szpiro_ratio': 4.299360349840523, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
87. lmfdb_label: 82.a2
    {'Ciso': '82a', 'Clabel': '82a1', 'Cnumber': 1, 'abc_quality': 0.9213467499049961, 'absD': 164, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 328, 'ainvs': [1, 0, 1, -2, 0], 'analytic_rank': 1, 'bad_primes': [2, 41], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 82, 'degree': 4, 'elladic_images': ['8.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.87815360116424888213145733283', 'prec': 107}, 'faltings_index': 0, 'faltings_ratio': 1, 'intrinsic_torsion': 1, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2], 'jinv': [389017, 164], 'lmfdb_iso': '82.a', 'lmfdb_label': '82.a2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -2, 0], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '8.6.0.c.1', '82.6.0.?', '328.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 2, 'num_int_pts': 11, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.22470692491887808222879536013', 'prec': 103}, 'semistable': True, 'serre_invariants': [[2, 4, 41], [41, 42, 2]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.87815360116424888213145733283', 'prec': 107}, 'szpiro_ratio': 2.920852816170644, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
88. lmfdb_label: 84.a1
    {'Ciso': '84b', 'Clabel': '84b2', 'Cnumber': 2, 'abc_quality': 0.9101516292778125, 'absD': 16128, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 84, 'ainvs': [0, -1, 0, -36, -72], 'analytic_rank': 0, 'bad_primes': [2, 3, 7], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 84, 'degree': 12, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.32398662700609337933780150611', 'prec': 107}, 'faltings_index': 1, 'faltings_ratio': 2, 'intrinsic_torsion': 1, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2], 'jinv': [20720464, 63], 'lmfdb_iso': '84.a', 'lmfdb_label': '84.a1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -36, -72], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '12.6.0.c.1', '28.6.0.a.1', '84.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 7], [3, 4, 28], [7, 8, 12]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.78608474737939025228262292041', 'prec': 107}, 'szpiro_ratio': 5.053652820683596, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
89. lmfdb_label: 84.a2
    {'Ciso': '84b', 'Clabel': '84b1', 'Cnumber': 1, 'abc_quality': 1.0551964751750895, 'absD': 2352, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 84, 'ainvs': [0, -1, 0, -1, -2], 'analytic_rank': 0, 'bad_primes': [2, 3, 7], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 84, 'degree': 6, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.67056021728606603404641756683', 'prec': 107}, 'faltings_index': 0, 'faltings_ratio': 1, 'intrinsic_torsion': 1, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2], 'jinv': [-16384, 147], 'lmfdb_iso': '84.a', 'lmfdb_label': '84.a2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -1, -2], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '6.6.0.a.1', '28.6.0.b.1', '84.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 3], [3, 4, 28], [7, 8, 12]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.90160927747271447051882827398', 'prec': 107}, 'szpiro_ratio': 3.448629685926015, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
90. lmfdb_label: 84.b1
    {'Ciso': '84a', 'Clabel': '84a4', 'Cnumber': 4, 'abc_quality': 1.0224533031136658, 'absD': 790272, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 84, 'ainvs': [0, 1, 0, -1828, -30700], 'analytic_rank': 0, 'bad_primes': [2, 3, 7], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 84, 'degree': 36, 'elladic_images': ['2.3.0.1', '3.8.0.2'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.41480896245132590358976893845', 'prec': 103}, 'faltings_index': 3, 'faltings_ratio': 6, 'intrinsic_torsion': 1, 'iso_nlabel': 1, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [2640279346000, 3087], 'lmfdb_iso': '84.b', 'lmfdb_label': '84.b1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -1828, -30700], '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', '12.48.0-12.j.1.6', '28.6.0.a.1', '84.96.1.?'], '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': False, 'serre_invariants': [[2, 2, 7], [3, 4, 4], [7, 8, 12]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.047289157921970969355052475855', 'prec': 110}, 'szpiro_ratio': 7.7067242531358096, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
91. lmfdb_label: 84.b2
    {'Ciso': '84a', 'Clabel': '84a3', 'Cnumber': 3, 'abc_quality': 1.0728576630678985, 'absD': 5647152, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 84, 'ainvs': [0, 1, 0, -113, -516], 'analytic_rank': 0, 'bad_primes': [2, 3, 7], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 84, 'degree': 18, 'elladic_images': ['2.3.0.1', '3.8.0.2'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.068235372171353248881152877717', 'prec': 107}, 'faltings_index': 2, 'faltings_ratio': 3, 'intrinsic_torsion': 1, 'iso_nlabel': 1, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [-10061824000, 352947], 'lmfdb_iso': '84.b', 'lmfdb_label': '84.b2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -113, -516], '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', '6.48.0-6.b.1.1', '28.6.0.b.1', '84.96.1.?'], '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': False, 'serre_invariants': [[2, 2, 3], [3, 4, 4], [7, 8, 12]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.16281368801529518759125782944', 'prec': 107}, 'szpiro_ratio': 5.83717464510032, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
92. lmfdb_label: 85.a1
    {'Ciso': '85a', 'Clabel': '85a1', 'Cnumber': 1, 'abc_quality': 0.8484639388765889, 'absD': 425, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 680, 'ainvs': [1, 1, 0, -8, -13], 'analytic_rank': 0, 'bad_primes': [5, 17], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 85, 'degree': 4, 'elladic_images': ['8.12.0.22'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.65768751058802325706257029494', 'prec': 107}, 'faltings_index': 0, 'faltings_ratio': 1, 'intrinsic_torsion': 2, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2], 'jinv': [68417929, 425], 'lmfdb_iso': '85.a', 'lmfdb_label': '85.a1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -8, -13], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.b.1', '8.12.0-4.b.1.2', '34.6.0.a.1', '68.12.0.e.1', '136.24.0.?', '340.24.0.?', '680.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 2, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': True, 'serre_invariants': [[2, 2, 17], [5, 6, 17], [17, 18, 5]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.65768751058802325706257029494', 'prec': 107}, 'szpiro_ratio': 4.060896169099905, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
93. lmfdb_label: 85.a2
    {'Ciso': '85a', 'Clabel': '85a2', 'Cnumber': 2, 'abc_quality': 1.0531441162406259, 'absD': 180625, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 680, 'ainvs': [1, 1, 0, -3, -22], 'analytic_rank': 0, 'bad_primes': [5, 17], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 85, 'degree': 8, 'elladic_images': ['8.12.0.37'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.31111392030805060235395423421', 'prec': 107}, 'faltings_index': 1, 'faltings_ratio': 2, 'intrinsic_torsion': 1, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2], 'jinv': [-4826809, 180625], 'lmfdb_iso': '85.a', 'lmfdb_label': '85.a2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -3, -22], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.a.1', '8.12.0-4.a.1.1', '68.12.0.d.1', '136.24.0.?', '680.48.0.?'], '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, 1], [5, 6, 17], [17, 18, 5]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.31111392030805060235395423421', 'prec': 107}, 'szpiro_ratio': 4.405982687525496, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
94. lmfdb_label: 89.b1
    {'Ciso': '89b', 'Clabel': '89b2', 'Cnumber': 2, 'abc_quality': 0.7682109889108772, 'absD': 89, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 712, 'ainvs': [1, 1, 0, -1, 0], 'analytic_rank': 0, 'bad_primes': [89], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 89, 'degree': 10, 'elladic_images': ['8.12.0.22'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.91349657044951446593966150943', 'prec': 107}, 'faltings_index': 0, 'faltings_ratio': 1, 'intrinsic_torsion': 2, 'iso_nlabel': 1, 'isogeny_degrees': [1, 2], 'jinv': [389017, 89], 'lmfdb_iso': '89.b', 'lmfdb_label': '89.b1', 'lmfdb_number': 1, '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.b.1', '8.12.0-4.b.1.2', '178.6.0.?', '356.24.0.?', '712.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 1, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': True, 'serre_invariants': [[89, 90, 1]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.91349657044951446593966150943', 'prec': 107}, 'szpiro_ratio': 2.8675475719618775, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
95. lmfdb_label: 89.b2
    {'Ciso': '89b', 'Clabel': '89b1', 'Cnumber': 1, 'abc_quality': 0.8467296169723478, 'absD': 7921, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 712, 'ainvs': [1, 1, 0, 4, 5], 'analytic_rank': 0, 'bad_primes': [89], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 89, 'degree': 5, 'elladic_images': ['8.12.0.37'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.56692298016954181123104544870', 'prec': 107}, 'faltings_index': 1, 'faltings_ratio': 2, 'intrinsic_torsion': 1, 'iso_nlabel': 1, 'isogeny_degrees': [1, 2], 'jinv': [4657463, 7921], 'lmfdb_iso': '89.b', 'lmfdb_label': '89.b2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, 4, 5], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.a.1', '8.12.0-4.a.1.1', '356.12.0.?', '712.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 1, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': True, 'serre_invariants': [[2, 2, 1], [89, 90, 1]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.56692298016954181123104544870', 'prec': 107}, 'szpiro_ratio': 3.5681361497532884, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
96. lmfdb_label: 90.a1
    {'Ciso': '90a', 'Clabel': '90a4', 'Cnumber': 4, 'abc_quality': 1.0515389861488595, 'absD': 3936600, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 120, 'ainvs': [1, -1, 0, -1149, -14707], 'analytic_rank': 0, 'bad_primes': [2, 3, 5], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 90, 'degree': 48, 'elladic_images': ['2.3.0.1', '3.8.0.2'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.37751801390469979411931152339', 'prec': 103}, 'faltings_index': 3, 'faltings_ratio': 6, 'intrinsic_torsion': 1, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [8527173507, 200], 'lmfdb_iso': '90.a', 'lmfdb_label': '90.a1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, -1149, -14707], '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', '24.48.0-24.ca.1.7', '40.6.0.e.1', '60.48.0-60.t.1.15', '120.96.1.?'], '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': False, 'serre_invariants': [[2, 4, 3], [3, 2, 5], [5, 6, 18]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.44644120259638247442712240430', 'prec': 107}, 'szpiro_ratio': 7.278982175275395, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
97. lmfdb_label: 90.a2
    {'Ciso': '90a', 'Clabel': '90a3', 'Cnumber': 3, 'abc_quality': 0.9730541653249261, 'absD': 6298560, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 120, 'ainvs': [1, -1, 0, -69, -235], 'analytic_rank': 0, 'bad_primes': [2, 3, 5], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 90, 'degree': 24, 'elladic_images': ['2.3.0.1', '3.8.0.2'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.030944423624727139410695462660', 'prec': 107}, 'faltings_index': 2, 'faltings_ratio': 3, 'intrinsic_torsion': 1, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [-1860867, 320], 'lmfdb_iso': '90.a', 'lmfdb_label': '90.a2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, -69, -235], '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', '24.48.0-24.cd.1.11', '30.48.0-30.b.1.3', '40.6.0.e.1', '120.96.1.?'], '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': False, 'serre_invariants': [[2, 4, 15], [3, 2, 5], [5, 6, 18]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.79301479287635512913573846503', 'prec': 107}, 'szpiro_ratio': 5.4633943237413245, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
98. lmfdb_label: 90.b1
    {'Ciso': '90b', 'Clabel': '90b4', 'Cnumber': 4, 'abc_quality': 1.112048532957035, 'absD': 615093750, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 120, 'ainvs': [1, -1, 1, -218, -269], 'analytic_rank': 0, 'bad_primes': [2, 3, 5], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 90, 'degree': 48, 'elladic_images': ['2.3.0.1', '3.8.0.2'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.37751801390469979411931152339', 'prec': 103}, 'faltings_index': 3, 'faltings_ratio': 6, 'intrinsic_torsion': 1, 'iso_nlabel': 1, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [57960603, 31250], 'lmfdb_iso': '90.b', 'lmfdb_label': '90.b1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, -24, 18], 'min_quad_twist_disc': -3, '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', '24.48.0-24.ca.1.7', '40.6.0.e.1', '60.48.0-60.t.1.15', '120.96.1.?'], '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': False, 'serre_invariants': [[2, 4, 3], [3, 2, 2], [5, 6, 18]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.44644120259638247442712240430', 'prec': 107}, 'szpiro_ratio': 6.169768659363024, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
99. lmfdb_label: 90.b4
    {'Ciso': '90b', 'Clabel': '90b3', 'Cnumber': 3, 'abc_quality': 1.0820688714039877, 'absD': 9841500, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 120, 'ainvs': [1, -1, 1, 52, -53], 'analytic_rank': 0, 'bad_primes': [2, 3, 5], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 90, 'degree': 24, 'elladic_images': ['2.3.0.1', '3.8.0.2'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.030944423624727139410695462659', 'prec': 107}, 'faltings_index': 2, 'faltings_ratio': 3, 'intrinsic_torsion': 1, 'iso_nlabel': 1, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [804357, 500], 'lmfdb_iso': '90.b', 'lmfdb_label': '90.b4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, 6, 0], 'min_quad_twist_disc': -3, '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', '24.48.0-24.cd.1.11', '30.48.0-30.b.1.3', '40.6.0.e.1', '120.96.1.?'], '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': False, 'serre_invariants': [[2, 4, 15], [3, 2, 2], [5, 6, 18]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.79301479287635512913573846503', 'prec': 107}, 'szpiro_ratio': 5.219178320435282, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}