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ec_classdata • Show schema
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{'anlist': [0, 1, -1, 0, -1, 1, 0, 0, 3, 0, -1, 4, 0, 0, 0, 0, -1, -2, 0, 4, -1], 'aplist': [-1, 0, 1, 0, 4, 0, -2, 4, -8, 2, 8, -6, -6, -4, -8, -6, -12, -2, 4, 0, 6, 16, -4, 10, -18], 'class_deg': 16, 'class_size': 8, 'conductor': 7605, 'isogeny_matrix': [[1, 2, 4, 4, 8, 16, 16, 8], [2, 1, 2, 2, 4, 8, 8, 4], [4, 2, 1, 4, 8, 16, 16, 8], [4, 2, 4, 1, 2, 4, 4, 2], [8, 4, 8, 2, 1, 2, 2, 4], [16, 8, 16, 4, 2, 1, 4, 8], [16, 8, 16, 4, 2, 4, 1, 8], [8, 4, 8, 2, 4, 8, 8, 1]], 'lmfdb_iso': '7605.h', 'trace_hash': 1600329723964345559}
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ec_padic • Show schema
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id: 309885
{'lmfdb_iso': '7605.h', 'p': 11, 'prec': 20, 'unit': 22626397710157275813, 'val': 1}
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id: 309886
{'lmfdb_iso': '7605.h', 'p': 17, 'prec': 20, 'unit': 79924515196670637855745, 'val': 1}
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id: 309887
{'lmfdb_iso': '7605.h', 'p': 19, 'prec': 20, 'unit': 1225511956035655666033278, 'val': 1}
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id: 309891
{'lmfdb_iso': '7605.h', 'p': 23, 'prec': 20, 'unit': 52297179232355071583594915, 'val': 1}
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id: 309883
{'lmfdb_iso': '7605.h', 'p': 29, 'prec': 20, 'unit': 3543931781496283346820703073, 'val': 1}
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id: 309895
{'lmfdb_iso': '7605.h', 'p': 31, 'prec': 20, 'unit': 4461608178777822896119147963, 'val': 1}
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id: 309880
{'lmfdb_iso': '7605.h', 'p': 37, 'prec': 20, 'unit': 224769647305275628304150006386, 'val': 1}
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id: 309881
{'lmfdb_iso': '7605.h', 'p': 41, 'prec': 20, 'unit': 3485308696600701338895277093738, 'val': 1}
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id: 309882
{'lmfdb_iso': '7605.h', 'p': 43, 'prec': 20, 'unit': 10723953590570719862824272005116, 'val': 1}
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id: 309893
{'lmfdb_iso': '7605.h', 'p': 47, 'prec': 20, 'unit': 46777592510933662188273668152558, 'val': 1}
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id: 309888
{'lmfdb_iso': '7605.h', 'p': 53, 'prec': 20, 'unit': 28030171422772738408655800256416, 'val': 1}
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id: 309889
{'lmfdb_iso': '7605.h', 'p': 59, 'prec': 20, 'unit': 2564223861572984278972851653407149, 'val': 1}
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id: 309894
{'lmfdb_iso': '7605.h', 'p': 61, 'prec': 20, 'unit': 3740354071449680074449099706146554, 'val': 1}
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id: 309879
{'lmfdb_iso': '7605.h', 'p': 67, 'prec': 20, 'unit': 40544061139228281089385844964412926, 'val': 1}
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id: 309890
{'lmfdb_iso': '7605.h', 'p': 73, 'prec': 20, 'unit': 155780272234635922589518267803233091, 'val': 1}
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id: 309884
{'lmfdb_iso': '7605.h', 'p': 79, 'prec': 20, 'unit': 768340697165537879771962919692896110, 'val': 1}
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id: 309878
{'lmfdb_iso': '7605.h', 'p': 83, 'prec': 20, 'unit': 1144698762003632485009352306889717795, 'val': 1}
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id: 309892
{'lmfdb_iso': '7605.h', 'p': 89, 'prec': 20, 'unit': 10237149518136984814687196177670587453, 'val': 1}
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id: 309877
{'lmfdb_iso': '7605.h', 'p': 97, 'prec': 20, 'unit': 54473063809629283737111145173713064977, 'val': 1}
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ec_curvedata • Show schema
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id: 48786
{'Ciso': '7605p', 'Clabel': '7605p7', 'Cnumber': 7, 'abc_quality': 1.0411934542658166, 'absD': 85769379174375, 'adelic_genus': 13, 'adelic_index': 768, 'adelic_level': 6240, 'ainvs': [1, -1, 1, -197730032, 1070230016756], 'analytic_rank': 1, 'bad_primes': [3, 5, 13], 'class_deg': 16, 'class_size': 8, 'cm': 0, 'conductor': 7605, 'degree': 516096, 'elladic_images': ['16.48.0.34'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.0211978908594571006985632128', 'prec': 100}, 'faltings_index': 7, 'faltings_ratio': 16, 'iso_nlabel': 7, 'isogeny_degrees': [1, 2, 4, 8, 16], 'jinv': [242970740812818720001, 24375], 'lmfdb_iso': '7605.h', 'lmfdb_label': '7605.h1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -130000, -18051943], 'min_quad_twist_disc': -39, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.1', '8.24.0-8.n.1.12', '16.48.0-16.g.1.15', '24.48.0-24.by.1.14', '48.96.0-48.bs.2.14', '104.48.0.?', '156.24.0.?', '160.96.0.?', '208.96.0.?', '312.96.0.?', '416.192.2.?', '480.192.1.?', '624.192.1.?', '1040.192.2.?', '1248.384.5.?', '2080.384.5.?', '3120.384.5.?', '6240.768.13.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 4, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '3.1817406120739643590554055418', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.1894170677946338869741968736', 'prec': 100}, 'szpiro_ratio': 7.71223303907854, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [4]}
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id: 48784
{'Ciso': '7605p', 'Clabel': '7605p5', 'Cnumber': 5, 'abc_quality': 1.0123408415397925, 'absD': 2090628617375390625, 'adelic_genus': 13, 'adelic_index': 768, 'adelic_level': 3120, 'ainvs': [1, -1, 1, -12358157, 16724576756], 'analytic_rank': 1, 'bad_primes': [3, 5, 13], 'class_deg': 16, 'class_size': 8, 'cm': 0, 'conductor': 7605, 'degree': 258048, 'elladic_images': ['8.48.0.14'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.6746243005794844459899471520', 'prec': 100}, 'faltings_index': 4, 'faltings_ratio': 8, 'iso_nlabel': 7, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [59319456301170001, 594140625], 'lmfdb_iso': '7605.h', 'lmfdb_label': '7605.h2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -8125, -282568], 'min_quad_twist_disc': -39, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.24.0-4.b.1.2', '8.48.0-8.i.1.7', '24.96.0-24.bb.1.16', '80.96.0.?', '104.96.0.?', '156.48.0.?', '208.192.2.?', '240.192.1.?', '312.192.1.?', '624.384.5.?', '1040.384.5.?', '3120.768.13.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 8, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.5908703060369821795277027709', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.84284347751466123226558081275', 'prec': 103}, 'szpiro_ratio': 6.781476927787957, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
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id: 48787
{'Ciso': '7605p', 'Clabel': '7605p8', 'Cnumber': 8, 'abc_quality': 1.0142537292135114, 'absD': 20939789837493896484375, 'adelic_genus': 13, 'adelic_index': 768, 'adelic_level': 6240, 'ainvs': [1, -1, 1, -12061562, 17565245624], 'analytic_rank': 1, 'bad_primes': [3, 5, 13], 'class_deg': 16, 'class_size': 8, 'cm': 0, 'conductor': 7605, 'degree': 516096, 'elladic_images': ['16.48.0.50'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.0211978908594571006985632128', 'prec': 100}, 'faltings_index': 6, 'faltings_ratio': 16, 'iso_nlabel': 7, 'isogeny_degrees': [1, 2, 4, 8, 16], 'jinv': [-55150149867714721, 5950927734375], 'lmfdb_iso': '7605.h', 'lmfdb_label': '7605.h3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -7930, -296725], 'min_quad_twist_disc': -39, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.2', '8.24.0-8.n.1.10', '16.48.0-16.g.1.11', '24.48.0-24.bz.2.6', '48.96.0-48.bv.2.8', '78.6.0.?', '104.48.0.?', '156.24.0.?', '160.96.0.?', '208.192.2.?', '312.96.0.?', '480.192.1.?', '624.384.5.?', '2080.384.5.?', '6240.768.13.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 4, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.79543515301849108976385138546', 'prec': 103}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.1894170677946338869741968736', 'prec': 100}, 'szpiro_ratio': 6.792453718424957, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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id: 48782
{'Ciso': '7605p', 'Clabel': '7605p3', 'Cnumber': 3, 'abc_quality': 0.9738373897310543, 'absD': 5087753803244750625, 'adelic_genus': 13, 'adelic_index': 768, 'adelic_level': 3120, 'ainvs': [1, -1, 1, -790952, 248249954], 'analytic_rank': 1, 'bad_primes': [3, 5, 13], 'class_deg': 16, 'class_size': 8, 'cm': 0, 'conductor': 7605, 'degree': 129024, 'elladic_images': ['8.48.0.48'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.3280507102995117912813310913', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 7, 'isogeny_degrees': [1, 2, 4], 'jinv': [15551989015681, 1445900625], 'lmfdb_iso': '7605.h', 'lmfdb_label': '7605.h4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -520, -4225], 'min_quad_twist_disc': -39, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.24.0.b.1', '8.48.0-4.b.1.6', '24.96.0-24.b.1.23', '40.96.0-40.b.2.16', '104.96.0.?', '120.192.1.?', '156.48.0.?', '208.192.2.?', '312.192.1.?', '520.192.1.?', '624.384.5.?', '1040.384.5.?', '1560.384.5.?', '3120.768.13.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 6, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '3.1817406120739643590554055418', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.49626988723468857755696475205', 'prec': 103}, 'szpiro_ratio': 5.858694226435877, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
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id: 48781
{'Ciso': '7605p', 'Clabel': '7605p2', 'Cnumber': 2, 'abc_quality': 1.0179337433150557, 'absD': 97540368772266225, 'adelic_genus': 13, 'adelic_index': 768, 'adelic_level': 3120, 'ainvs': [1, -1, 1, -174947, -23777854], 'analytic_rank': 1, 'bad_primes': [3, 5, 13], 'class_deg': 16, 'class_size': 8, 'cm': 0, 'conductor': 7605, 'degree': 64512, 'elladic_images': ['16.48.0.5'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.9814771200195391365727150306', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 7, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [168288035761, 27720225], 'lmfdb_iso': '7605.h', 'lmfdb_label': '7605.h5', 'lmfdb_number': 5, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -115, 392], 'min_quad_twist_disc': -39, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0.b.1', '8.24.0.i.1', '16.48.0-8.i.1.2', '24.48.0-8.i.1.4', '40.48.0.bc.2', '48.96.0-48.d.1.10', '60.24.0-4.b.1.2', '80.96.0.?', '104.48.0.?', '120.96.0.?', '156.24.0.?', '208.192.2.?', '240.192.1.?', '260.24.0.?', '312.96.0.?', '520.96.1.?', '624.384.5.?', '780.48.0.?', '1040.384.5.?', '1560.192.1.?', '3120.768.13.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '6.3634812241479287181108110837', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.14969629695471592284834869135', 'prec': 103}, 'szpiro_ratio': 5.35220557752237, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
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id: 48780
{'Ciso': '7605p', 'Clabel': '7605p1', 'Cnumber': 1, 'abc_quality': 0.9386701274898751, 'absD': 18526185901665, 'adelic_genus': 13, 'adelic_index': 768, 'adelic_level': 6240, 'ainvs': [1, -1, 1, -167342, -26305756], 'analytic_rank': 1, 'bad_primes': [3, 5, 13], 'class_deg': 16, 'class_size': 8, 'cm': 0, 'conductor': 7605, 'degree': 32256, 'elladic_images': ['32.48.0.2'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.6349035297395664818640989699', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 7, 'isogeny_degrees': [1, 2, 4, 8, 16], 'jinv': [147281603041, 5265], 'lmfdb_iso': '7605.h', 'lmfdb_label': '7605.h6', 'lmfdb_number': 6, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -110, 435], 'min_quad_twist_disc': -39, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.n.1', '16.24.0.g.1', '24.24.0-8.n.1.8', '32.48.0-16.g.1.7', '40.24.0.cb.2', '48.48.0-16.g.1.1', '60.12.0-4.c.1.2', '80.48.0.?', '96.96.0.?', '104.24.0.?', '120.48.0.?', '130.6.0.?', '156.12.0.?', '160.96.0.?', '208.96.0.?', '240.96.0.?', '260.12.0.?', '312.48.0.?', '416.192.2.?', '480.192.1.?', '520.48.0.?', '624.192.2.?', '780.24.0.?', '1040.192.1.?', '1248.384.5.?', '1560.96.0.?', '2080.384.5.?', '3120.384.5.?', '6240.768.13.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '12.726962448295857436221622167', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.19687729332525673186026736935', 'prec': 107}, 'szpiro_ratio': 5.337285902529118, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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id: 48783
{'Ciso': '7605p', 'Clabel': '7605p4', 'Cnumber': 4, 'abc_quality': 1.0535292066299595, 'absD': 9845574761766749265, 'adelic_genus': 13, 'adelic_index': 768, 'adelic_level': 6240, 'ainvs': [1, -1, 1, 319378, -134111194], 'analytic_rank': 1, 'bad_primes': [3, 5, 13], 'class_deg': 16, 'class_size': 8, 'cm': 0, 'conductor': 7605, 'degree': 129024, 'elladic_images': ['32.48.0.2'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.3280507102995117912813310913', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 7, 'isogeny_degrees': [1, 2, 4, 8, 16], 'jinv': [1023887723039, 2798036865], 'lmfdb_iso': '7605.h', 'lmfdb_label': '7605.h7', 'lmfdb_number': 7, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, 210, 2277], 'min_quad_twist_disc': -39, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.n.1', '16.24.0.g.1', '24.24.0-8.n.1.8', '32.48.0-16.g.1.7', '40.24.0.ca.1', '48.48.0-16.g.1.1', '60.12.0-4.c.1.1', '80.48.0.?', '96.96.0.?', '104.24.0.?', '120.48.0.?', '156.12.0.?', '160.96.0.?', '208.96.2.?', '240.96.0.?', '260.12.0.?', '312.48.0.?', '416.192.2.?', '480.192.1.?', '520.48.0.?', '624.192.2.?', '780.24.0.?', '1040.192.5.?', '1248.384.5.?', '1560.96.0.?', '2080.384.5.?', '3120.384.5.?', '6240.768.13.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '12.726962448295857436221622167', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.49626988723468857755696475205', 'prec': 103}, 'szpiro_ratio': 5.7013333126181465, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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id: 48785
{'Ciso': '7605p', 'Clabel': '7605p6', 'Cnumber': 6, 'abc_quality': 1.0149811194984983, 'absD': 645828161664325878225, 'adelic_genus': 13, 'adelic_index': 768, 'adelic_level': 6240, 'ainvs': [1, -1, 1, 920173, 1174310804], 'analytic_rank': 1, 'bad_primes': [3, 5, 13], 'class_deg': 16, 'class_size': 8, 'cm': 0, 'conductor': 7605, 'degree': 258048, 'elladic_images': ['16.48.0.62'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.6746243005794844459899471520', 'prec': 100}, 'faltings_index': 5, 'faltings_ratio': 8, 'iso_nlabel': 7, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [24487529386319, 183539412225], 'lmfdb_iso': '7605.h', 'lmfdb_label': '7605.h8', 'lmfdb_number': 8, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, 605, -19750], 'min_quad_twist_disc': -39, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0.d.1', '8.24.0.q.1', '16.48.0-8.q.1.2', '24.48.0.be.2', '40.48.0.bf.1', '48.96.0-24.be.2.1', '80.96.0.?', '104.48.0.?', '120.96.1.?', '156.24.0.?', '208.96.0.?', '240.192.1.?', '312.96.0.?', '416.192.2.?', '520.96.0.?', '624.192.1.?', '1040.192.1.?', '1248.384.5.?', '1560.192.1.?', '2080.384.5.?', '3120.384.5.?', '6240.768.13.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '6.3634812241479287181108110837', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.84284347751466123226558081275', 'prec': 103}, 'szpiro_ratio': 6.187103803295679, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}