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ec_classdata • Show schema
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{'anlist': [0, 1, 0, -2, -2, 3, 0, 1, 0, 1, 0, -3, 4, -4, 0, -6, 4, 3, 0, 1, -6], 'aplist': [0, -2, 3, 1, -3, -4, 3, 1, 0, -6, 4, -2, -6, 1, -3, -12, 6, 0, 4, -6, -7, -8, 12, -12, 8], 'class_deg': 9, 'class_size': 3, 'conductor': 70699, 'isogeny_matrix': [[1, 3, 9], [3, 1, 3], [9, 3, 1]], 'lmfdb_iso': '70699.a', 'trace_hash': 1755784669006711547}
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lmfdb_iso 70699.a does not appear in ec_padic
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ec_curvedata • Show schema
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id: 467750
{'Ciso': '70699a', 'Clabel': '70699a3', 'Cnumber': 3, 'abc_quality': 1.104947099482495, 'absD': 978887112859, 'adelic_genus': 43, 'adelic_index': 1296, 'adelic_level': 62586, 'ainvs': [0, 1, 1, -2862689, -1865226945], 'analytic_rank': 0, 'bad_primes': [19, 61], 'class_deg': 9, 'class_size': 3, 'cm': 0, 'conductor': 70699, 'degree': 691740, 'elladic_images': ['27.36.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.0888760890779734278957894353', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 9, 'iso_nlabel': 0, 'isogeny_degrees': [1, 3, 9], 'jinv': [-50357871050752, 19], 'lmfdb_iso': '70699.a', 'lmfdb_label': '70699.a1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 1, -769, -8470], 'min_quad_twist_disc': 61, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '9.12.0.a.1', '27.36.0.a.1', '38.2.0.a.1', '114.8.0.?', '171.36.0.?', '183.8.0.?', '342.72.3.?', '513.324.16.?', '549.24.0.?', '1026.648.43.?', '1647.72.0.?', '6954.16.0.?', '10431.72.0.?', '20862.144.3.?', '31293.648.16.?', '62586.1296.43.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 2, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 9, 'sha_primes': [3], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.033439156991317803520094883586', 'prec': 107}, 'szpiro_ratio': 5.03443303500121, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
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id: 467749
{'Ciso': '70699a', 'Clabel': '70699a2', 'Cnumber': 2, 'abc_quality': 1.0331037033479094, 'absD': 353378247742099, 'adelic_genus': 43, 'adelic_index': 1296, 'adelic_level': 62586, 'ainvs': [0, 1, 1, -34729, -2661790], 'analytic_rank': 0, 'bad_primes': [19, 61], 'class_deg': 9, 'class_size': 3, 'cm': 0, 'conductor': 70699, 'degree': 230580, 'elladic_images': ['9.36.0.2'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.5395699447439185821981668168', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 3, 'iso_nlabel': 0, 'isogeny_degrees': [1, 3], 'jinv': [-89915392, 6859], 'lmfdb_iso': '70699.a', 'lmfdb_label': '70699.a2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 1, -9, -15], 'min_quad_twist_disc': 61, 'modell_images': ['3Cs'], 'modm_images': ['3.12.0.a.1', '9.36.0.b.1', '38.2.0.a.1', '114.24.1.?', '171.108.4.?', '183.24.0.?', '342.216.13.?', '513.324.16.?', '549.72.0.?', '1026.648.43.?', '6954.48.1.?', '10431.216.4.?', '20862.432.13.?', '31293.648.16.?', '62586.1296.43.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 2, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.51586698734273704217752773491', 'prec': 107}, 'szpiro_ratio': 3.8601760895980393, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
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id: 467748
{'Ciso': '70699a', 'Clabel': '70699a1', 'Cnumber': 1, 'abc_quality': 1.3175706029138485, 'absD': 978887112859, 'adelic_genus': 43, 'adelic_index': 1296, 'adelic_level': 62586, 'ainvs': [0, 1, 1, 2481, -1275], 'analytic_rank': 0, 'bad_primes': [19, 61], 'class_deg': 9, 'class_size': 3, 'cm': 0, 'conductor': 70699, 'degree': 76860, 'elladic_images': ['27.36.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.99026380040986373650054419837', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 0, 'isogeny_degrees': [1, 3, 9], 'jinv': [32768, 19], 'lmfdb_iso': '70699.a', 'lmfdb_label': '70699.a3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 1, 1, 0], 'min_quad_twist_disc': 61, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '9.12.0.a.1', '27.36.0.a.1', '38.2.0.a.1', '114.8.0.?', '171.36.0.?', '183.8.0.?', '342.72.3.?', '513.324.16.?', '549.24.0.?', '1026.648.43.?', '1647.72.0.?', '6954.16.0.?', '10431.72.0.?', '20862.144.3.?', '31293.648.16.?', '62586.1296.43.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 2, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.0651731316767918878751503533', 'prec': 103}, 'szpiro_ratio': 3.140055939584783, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}