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ec_classdata • Show schema
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{'anlist': [0, 1, 0, 0, 0, -1, 0, 4, 0, 0, 0, 1, 0, 4, 0, 0, 0, 6, 0, 2, 0], 'aplist': [0, 0, -1, 4, 1, 4, 6, 2, 0, 0, 4, 10, 0, -4, 12, 6, -12, 10, -4, 0, 8, 10, 6, 6, -10], 'class_deg': 6, 'class_size': 4, 'conductor': 31680, 'isogeny_matrix': [[1, 3, 6, 2], [3, 1, 2, 6], [6, 2, 1, 3], [2, 6, 3, 1]], 'lmfdb_iso': '31680.bw', 'trace_hash': 1957218118698706838}
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lmfdb_iso 31680.bw does not appear in ec_padic
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ec_curvedata • Show schema
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id: 210834
{'Ciso': '31680da', 'Clabel': '31680da4', 'Cnumber': 4, 'abc_quality': 0.963342172697873, 'absD': 7934779201536000, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 1320, 'ainvs': [0, 0, 0, -56028, -2772848], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 11], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 31680, 'degree': 221184, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.7484875314574149083307005166', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 6, 'iso_nlabel': 48, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [1628514404944, 664335375], 'lmfdb_iso': '31680.bw', 'lmfdb_label': '31680.bw1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -1556, -13356], 'min_quad_twist_disc': 24, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '24.24.0-6.a.1.6', '44.6.0.c.1', '60.24.0.r.1', '120.48.0.?', '132.24.0.?', '264.48.0.?', '660.48.1.?', '1320.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 45], [3, 8, 64], [5, 6, 6336], [11, 12, 2880]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.39050967647009053497964042310', 'prec': 103}, 'szpiro_ratio': 4.2856831266084985, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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id: 210832
{'Ciso': '31680da', 'Clabel': '31680da2', 'Cnumber': 2, 'abc_quality': 0.9214349789031259, 'absD': 195104194560, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 1320, 'ainvs': [0, 0, 0, -25788, 1593808], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 11], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 31680, 'degree': 73728, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.1991813871233600626330778981', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 48, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [158792223184, 16335], 'lmfdb_iso': '31680.bw', 'lmfdb_label': '31680.bw2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -716, 7140], 'min_quad_twist_disc': 24, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '24.24.0-6.a.1.14', '44.6.0.c.1', '60.24.0.r.1', '120.48.0.?', '132.24.0.?', '264.48.0.?', '660.48.1.?', '1320.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 45], [3, 2, 3520], [5, 6, 6336], [11, 12, 2880]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.15879646786396431071798219540', 'prec': 107}, 'szpiro_ratio': 4.061064013169949, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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id: 210831
{'Ciso': '31680da', 'Clabel': '31680da1', 'Cnumber': 1, 'abc_quality': 0.9402381290121617, 'absD': 149653785600, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 1320, 'ainvs': [0, 0, 0, -1488, 28888], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 11], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 31680, 'degree': 36864, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.85260779684338740792446183736', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 48, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [-488095744, 200475], 'lmfdb_iso': '31680.bw', 'lmfdb_label': '31680.bw3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -41, 120], 'min_quad_twist_disc': 24, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '22.6.0.a.1', '24.24.0-6.a.1.14', '60.24.0.s.1', '66.24.0.a.1', '120.48.0.?', '264.48.0.?', '660.48.1.?', '1320.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 99], [3, 2, 3520], [5, 6, 6336], [11, 12, 2880]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.27432099795728852895418754898', 'prec': 107}, 'szpiro_ratio': 3.2870847790776474, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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id: 210833
{'Ciso': '31680da', 'Clabel': '31680da3', 'Cnumber': 3, 'abc_quality': 1.0221529257865163, 'absD': 139723056000000, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 1320, 'ainvs': [0, 0, 0, 11472, -315848], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 11], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 31680, 'degree': 110592, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.4019139411774422536220844558', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 3, 'iso_nlabel': 48, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [223673040896, 187171875], 'lmfdb_iso': '31680.bw', 'lmfdb_label': '31680.bw4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, 319, -1356], 'min_quad_twist_disc': 24, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '22.6.0.a.1', '24.24.0-6.a.1.6', '60.24.0.s.1', '66.24.0.a.1', '120.48.0.?', '264.48.0.?', '660.48.1.?', '1320.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 99], [3, 8, 64], [5, 6, 6336], [11, 12, 2880]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.27498514637676631674343506946', 'prec': 103}, 'szpiro_ratio': 3.8265859101055564, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}