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ec_classdata • Show schema
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{'anlist': [0, 1, -1, 0, 1, 2, 0, 0, -1, -3, -2, 0, 0, 0, 0, 0, 1, -6, 3, -4, 2], 'aplist': [-1, 0, 2, 0, 0, 0, -6, -4, 8, 2, 1, -10, 6, 8, 8, -6, 12, -6, 12, -8, -10, -8, -8, 6, -2], 'class_deg': 4, 'class_size': 4, 'conductor': 10478, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '10478.f', 'trace_hash': 2153771261361616118}
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lmfdb_iso 10478.f does not appear in ec_padic
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ec_curvedata • Show schema
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id: 67814
{'Ciso': '10478e', 'Clabel': '10478e4', 'Cnumber': 4, 'abc_quality': 1.0755914478549309, 'absD': 299262158, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 3224, 'ainvs': [1, -1, 0, -55886, 5099134], 'analytic_rank': 0, 'bad_primes': [2, 13, 31], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 10478, 'degree': 18432, 'elladic_images': ['8.12.0.9'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.1743969932117338409889242458', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 5, 'isogeny_degrees': [1, 2, 4], 'jinv': [3999236143617, 62], 'lmfdb_iso': '10478.f', 'lmfdb_label': '10478.f1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 1, -331, 2397], 'min_quad_twist_disc': 13, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.p.1', '104.24.0.?', '248.24.0.?', '1612.12.0.?', '3224.48.0.?'], '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': False, 'serre_invariants': [[2, 4, 5239], [13, 86, 62], [31, 32, 338]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.10807768551903452703781947498', 'prec': 107}, 'szpiro_ratio': 4.7970899703965255, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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id: 67813
{'Ciso': '10478e', 'Clabel': '10478e3', 'Cnumber': 3, 'abc_quality': 1.1790775616093738, 'absD': 8915318948978, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 3224, 'ainvs': [1, -1, 0, -5186, -3990], 'analytic_rank': 0, 'bad_primes': [2, 13, 31], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 10478, 'degree': 18432, 'elladic_images': ['8.12.0.15'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.1743969932117338409889242458', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 5, 'isogeny_degrees': [1, 2, 4], 'jinv': [3196010817, 1847042], 'lmfdb_iso': '10478.f', 'lmfdb_label': '10478.f2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 1, -31, 5], 'min_quad_twist_disc': 13, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.k.1', '52.12.0-4.c.1.1', '104.24.0.?', '248.24.0.?', '3224.48.0.?'], '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': False, 'serre_invariants': [[2, 4, 169], [13, 86, 62], [31, 32, 338]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.10807768551903452703781947498', 'prec': 107}, 'szpiro_ratio': 4.026653571573089, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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id: 67812
{'Ciso': '10478e', 'Clabel': '10478e2', 'Cnumber': 2, 'abc_quality': 1.0250423431234554, 'absD': 18554253796, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 3224, 'ainvs': [1, -1, 0, -3496, 80172], 'analytic_rank': 0, 'bad_primes': [2, 13, 31], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 10478, 'degree': 9216, 'elladic_images': ['8.12.0.3'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.82782340293176118628030818511', 'prec': 103}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 5, 'isogeny_degrees': [1, 2], 'jinv': [979146657, 3844], 'lmfdb_iso': '10478.f', 'lmfdb_label': '10478.f3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 1, -21, 41], 'min_quad_twist_disc': 13, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '8.12.0.a.1', '52.12.0-2.a.1.1', '104.24.0.?', '124.12.0.?', '248.24.0.?', '1612.24.0.?', '3224.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 169], [13, 86, 62], [31, 32, 338]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.45465127579900718174643553567', 'prec': 107}, 'szpiro_ratio': 3.898861303307737, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
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id: 67811
{'Ciso': '10478e', 'Clabel': '10478e1', 'Cnumber': 1, 'abc_quality': 0.9309010010327436, 'absD': 2394097264, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 3224, 'ainvs': [1, -1, 0, -116, 2432], 'analytic_rank': 0, 'bad_primes': [2, 13, 31], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 10478, 'degree': 4608, 'elladic_images': ['8.12.0.9'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.48124981265178853157169212439', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 5, 'isogeny_degrees': [1, 2, 4], 'jinv': [-35937, 496], 'lmfdb_iso': '10478.f', 'lmfdb_label': '10478.f4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 1, -1, 1], 'min_quad_twist_disc': 13, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.p.1', '52.12.0-4.c.1.2', '62.6.0.b.1', '104.24.0.?', '124.12.0.?', '248.24.0.?', '1612.24.0.?', '3224.48.0.?'], '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': False, 'serre_invariants': [[2, 4, 5239], [13, 86, 62], [31, 32, 338]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.80122486607897983645505159639', 'prec': 107}, 'szpiro_ratio': 3.14269871195089, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
