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ec_classdata • Show schema
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{'anlist': [0, 1, 0, 1, 0, -1, 0, 4, 0, 1, 0, 0, 0, -6, 0, -1, 0, -2, 0, 4, 0], 'aplist': [0, 1, -1, 4, 0, -6, -2, 4, -8, -6, 0, -6, 10, -4, 8, 10, 0, 6, -4, 0, -14, 16, 12, 2, 2], 'class_deg': 4, 'class_size': 4, 'conductor': 120, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '120.a', 'trace_hash': 2081987281515763739}
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lmfdb_iso 120.a does not appear in ec_padic
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ec_curvedata • Show schema
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id: 386
{'Ciso': '120b', 'Clabel': '120b3', 'Cnumber': 3, 'abc_quality': 0.9916872007915092, 'absD': 829440, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 120, 'ainvs': [0, 1, 0, -216, -1296], 'analytic_rank': 0, 'bad_primes': [2, 3, 5], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 120, 'degree': 32, 'elladic_images': ['8.12.0.7'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.069403084809978099734125542129', 'prec': 107}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2, 4], 'jinv': [546718898, 405], 'lmfdb_iso': '120.a', 'lmfdb_label': '120.a1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -216, -1296], '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.1.3', '20.12.0-4.c.1.1', '24.24.0-24.y.1.8', '40.24.0-40.v.1.4', '120.48.0.?'], '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, 4, 5], [3, 4, 40], [5, 6, 24]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.56598183070330510056500390254', 'prec': 107}, 'szpiro_ratio': 5.795114813233983, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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id: 387
{'Ciso': '120b', 'Clabel': '120b4', 'Cnumber': 4, 'abc_quality': 0.9792461634823973, 'absD': 3840000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 120, 'ainvs': [0, 1, 0, -136, 560], 'analytic_rank': 0, 'bad_primes': [2, 3, 5], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 120, 'degree': 32, 'elladic_images': ['8.12.0.8'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.069403084809978099734125542128', 'prec': 107}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2, 4], 'jinv': [136835858, 1875], 'lmfdb_iso': '120.a', 'lmfdb_label': '120.a2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -136, 560], '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.1.4', '12.12.0-4.c.1.1', '24.24.0-24.s.1.4', '40.24.0-40.bb.1.14', '120.48.0.?'], '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, 4, 3], [3, 4, 40], [5, 6, 24]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.56598183070330510056500390254', 'prec': 107}, 'szpiro_ratio': 5.505787383255181, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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id: 385
{'Ciso': '120b', 'Clabel': '120b2', 'Cnumber': 2, 'abc_quality': 1.1324456905360707, 'absD': 230400, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 120, 'ainvs': [0, 1, 0, -16, -16], 'analytic_rank': 0, 'bad_primes': [2, 3, 5], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 120, 'degree': 16, 'elladic_images': ['8.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.27717050546999455497449051860', 'prec': 107}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2], 'jinv': [470596, 225], 'lmfdb_iso': '120.a', 'lmfdb_label': '120.a3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -16, -16], 'min_quad_twist_disc': 1, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '8.12.0-2.a.1.1', '12.12.0-2.a.1.1', '20.12.0-2.a.1.1', '24.24.0-24.b.1.2', '40.24.0-40.a.1.3', '60.24.0-60.b.1.3', '120.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 1], [3, 4, 40], [5, 6, 24]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.85479315593661564615551728648', 'prec': 107}, 'szpiro_ratio': 4.176138181584208, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
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id: 384
{'Ciso': '120b', 'Clabel': '120b1', 'Cnumber': 1, 'abc_quality': 0.8561074444645796, 'absD': 3840, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 120, 'ainvs': [0, 1, 0, 4, 0], 'analytic_rank': 0, 'bad_primes': [2, 3, 5], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 120, 'degree': 8, 'elladic_images': ['8.12.0.12'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.62374409574996720968310657933', 'prec': 107}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2, 4], 'jinv': [21296, 15], 'lmfdb_iso': '120.a', 'lmfdb_label': '120.a4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, 4, 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.1.2', '12.12.0-4.c.1.2', '20.12.0-4.c.1.2', '24.24.0-24.y.1.2', '30.6.0.a.1', '40.24.0-40.bb.1.9', '60.24.0-60.g.1.4', '120.48.0.?'], '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, 2, 15], [3, 4, 40], [5, 6, 24]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.0858422161232640826279279936', 'prec': 103}, 'szpiro_ratio': 3.2399955589480847, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}