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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, -6, -6, -8, -2, 6, -10, -6, 6, 0, -8, -4, -6, 14, 16, -12, 0, 14], '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.bu', 'trace_hash': 614745669024409377}
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lmfdb_iso 31680.bu does not appear in ec_padic
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ec_curvedata • Show schema
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id: 210773
{'Ciso': '31680cb', 'Clabel': '31680cb3', 'Cnumber': 3, 'abc_quality': 1.100121500224687, 'absD': 45007946701288243200, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 264, 'ainvs': [0, 0, 0, -902988, -69958512], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 11], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 31680, 'degree': 995328, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.4616231759801665282441877152', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 3, 'iso_nlabel': 46, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [15781142246787, 8722841600], 'lmfdb_iso': '31680.bu', 'lmfdb_label': '31680.bu1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, -14109, 140165], 'min_quad_twist_disc': -8, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '12.24.0-6.a.1.2', '24.48.0-24.cc.1.11', '66.24.0.b.1', '88.6.0.?', '132.48.0.?', '264.96.1.?'], '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, 'sha': 4, 'sha_primes': [2], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.59794318863916629557190560532', 'prec': 103}, 'szpiro_ratio': 5.090393957647064, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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id: 210771
{'Ciso': '31680cb', 'Clabel': '31680cb1', 'Cnumber': 1, 'abc_quality': 1.060526939392005, 'absD': 77856768000000, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 264, 'ainvs': [0, 0, 0, -686988, -219164912], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 11], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 31680, 'degree': 331776, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.9123170316461116825465650967', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 46, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [5066026756449723, 11000000], 'lmfdb_iso': '31680.bu', 'lmfdb_label': '31680.bu2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, -10734, 430740], 'min_quad_twist_disc': -8, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '12.24.0-6.a.1.8', '24.48.0-24.cc.1.9', '66.24.0.b.1', '88.6.0.?', '132.48.0.?', '264.96.1.?'], '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, 'sha': 4, 'sha_primes': [2], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.59794318863916629557190560528', 'prec': 103}, 'szpiro_ratio': 5.01125254789646, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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id: 210772
{'Ciso': '31680cb', 'Clabel': '31680cb2', 'Cnumber': 2, 'abc_quality': 1.0252808036159649, 'absD': 1672704000000000000, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 264, 'ainvs': [0, 0, 0, -679308, -224304368], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 11], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 31680, 'degree': 663552, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.2588906219260843372551811574', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 46, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [-4898016158612283, 236328125000], 'lmfdb_iso': '31680.bu', 'lmfdb_label': '31680.bu3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, -10614, 440748], 'min_quad_twist_disc': -8, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '12.24.0-6.a.1.4', '24.48.0-24.cb.1.13', '88.6.0.?', '132.48.0.?', '264.96.1.?'], '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, 'sha': 4, 'sha_primes': [2], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.94451677891913895028052166598', 'prec': 103}, 'szpiro_ratio': 5.015725496659702, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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id: 210774
{'Ciso': '31680cb', 'Clabel': '31680cb4', 'Cnumber': 4, 'abc_quality': 1.0709081254433794, 'absD': 2925077004854231040000, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 264, 'ainvs': [0, 0, 0, 3520692, -553024368], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 11], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 31680, 'degree': 1990656, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.8081967662601391829528037759', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 6, 'iso_nlabel': 46, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [935355271080573, 566899520000], 'lmfdb_iso': '31680.bu', 'lmfdb_label': '31680.bu4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, 55011, 1066373], 'min_quad_twist_disc': -8, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '12.24.0-6.a.1.10', '24.48.0-24.cb.1.9', '88.6.0.?', '132.48.0.?', '264.96.1.?'], '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, 'sha': 4, 'sha_primes': [2], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.94451677891913895028052166602', 'prec': 103}, 'szpiro_ratio': 5.484289266005647, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}