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ec_classdata • Show schema
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{'anlist': [0, 1, 0, 0, 0, 1, 0, -4, 0, -3, 0, 4, 0, -2, 0, 0, 0, 2, 0, 4, 0], 'aplist': [0, 0, 1, -4, 4, -2, 2, 4, 4, -2, -8, 6, -6, -8, 4, 6, -4, -2, 8, 0, -6, 0, -16, -6, -14], 'class_deg': 4, 'class_size': 4, 'conductor': 40, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '40.a', 'trace_hash': 716883178609633242}
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lmfdb_iso 40.a does not appear in ec_padic
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ec_curvedata • Show schema
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id: 90
{'Ciso': '40a', 'Clabel': '40a2', 'Cnumber': 2, 'abc_quality': 1.1363232938776144, 'absD': 5120, 'adelic_genus': 3, 'adelic_index': 192, 'adelic_level': 80, 'ainvs': [0, 0, 0, -107, -426], 'analytic_rank': 0, 'bad_primes': [2, 5], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 40, 'degree': 4, 'elladic_images': ['16.48.0.55'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.20221378199618991273847993622', 'prec': 107}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2, 4], 'jinv': [132304644, 5], 'lmfdb_iso': '40.a', 'lmfdb_label': '40.a1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, -107, -426], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.2', '8.24.0-8.o.1.3', '10.6.0.a.1', '16.48.0-16.i.1.3', '20.24.0-20.g.1.1', '40.96.0-40.bq.1.6', '80.192.3.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 2, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, '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]}
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id: 89
{'Ciso': '40a', 'Clabel': '40a1', 'Cnumber': 1, 'abc_quality': 1.0917548251330267, 'absD': 6400, 'adelic_genus': 3, 'adelic_index': 192, 'adelic_level': 40, 'ainvs': [0, 0, 0, -7, -6], 'analytic_rank': 0, 'bad_primes': [2, 5], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 40, 'degree': 2, 'elladic_images': ['8.48.0.39'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.54878737227616256744709599695', 'prec': 107}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2], 'jinv': [148176, 25], 'lmfdb_iso': '40.a', 'lmfdb_label': '40.a2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, -7, -6], 'min_quad_twist_disc': 1, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.24.0-4.a.1.1', '8.48.0-8.g.1.1', '20.48.0-20.b.1.1', '40.192.3-40.bk.1.5'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 2, 'num_int_pts': 3, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.0108854926494594403919174113', 'prec': 103}, 'szpiro_ratio': 4.730795271834492, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
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id: 91
{'Ciso': '40a', 'Clabel': '40a3', 'Cnumber': 3, 'abc_quality': 1.018975235452531, 'absD': 80, 'adelic_genus': 3, 'adelic_index': 192, 'adelic_level': 80, 'ainvs': [0, 0, 0, -2, 1], 'analytic_rank': 0, 'bad_primes': [2, 5], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 40, 'degree': 4, 'elladic_images': ['16.48.0.39'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.89536096255613522215571205768', 'prec': 107}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2, 4], 'jinv': [55296, 5], 'lmfdb_iso': '40.a', 'lmfdb_label': '40.a3', 'lmfdb_number': 3, 'manin_constant': 2, 'min_quad_twist_ainvs': [0, 0, 0, -2, 1], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.1', '8.24.0-8.o.1.1', '10.6.0.a.1', '16.48.0-16.i.1.1', '20.24.0-20.g.1.2', '40.96.0-40.bq.2.7', '80.192.3.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 2, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.1264100227427836586281227648', 'prec': 103}, 'szpiro_ratio': 3.7119794085796602, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [4]}
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id: 92
{'Ciso': '40a', 'Clabel': '40a4', 'Cnumber': 4, 'abc_quality': 1.0467057018818753, 'absD': 640000, 'adelic_genus': 3, 'adelic_index': 192, 'adelic_level': 80, 'ainvs': [0, 0, 0, 13, -34], 'analytic_rank': 0, 'bad_primes': [2, 5], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 40, 'degree': 4, 'elladic_images': ['4.48.0.2'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.20221378199618991273847993622', 'prec': 107}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2, 4], 'jinv': [237276, 625], 'lmfdb_iso': '40.a', 'lmfdb_label': '40.a4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, 13, -34], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.48.0-4.c.1.1', '40.96.1-40.dk.1.1', '80.192.3.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 2, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.77983643246281100391950670410', 'prec': 107}, 'szpiro_ratio': 5.577809424998608, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [4]}
