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ec_classdata • Show schema
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{'anlist': [0, 1, -1, 0, 1, -1, 0, -2, -1, 0, 1, 6, 0, 0, 2, 0, 1, -1, 0, -8, -1], 'aplist': [-1, 0, -1, -2, 6, 0, -1, -8, 6, 6, -2, -2, -6, -4, 12, -6, 0, 2, -8, -6, -2, -10, 12, 6, -2], 'class_deg': 6, 'class_size': 4, 'conductor': 258570, 'isogeny_matrix': [[1, 3, 6, 2], [3, 1, 2, 6], [6, 2, 1, 3], [2, 6, 3, 1]], 'lmfdb_iso': '258570.s', 'trace_hash': 1774918956134664162}
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lmfdb_iso 258570.s does not appear in ec_padic
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ec_curvedata • Show schema
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id: 1640131
{'Ciso': '258570s', 'Clabel': '258570s3', 'Cnumber': 3, 'abc_quality': 1.042560452096738, 'absD': 15681098596220928000000, 'adelic_genus': 9, 'adelic_index': 384, 'adelic_level': 26520, 'ainvs': [1, -1, 0, -6340320, 1210291200], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 13, 17], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 258570, 'degree': 26542080, 'elladic_images': ['4.6.0.3', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.9492573001068564090894265561', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 3, 'iso_nlabel': 18, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [8010684753304969, 4456448000000], 'lmfdb_iso': '258570.s', 'lmfdb_label': '258570.s1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -4169, -20724], 'min_quad_twist_disc': -39, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '4.6.0.b.1', '6.12.0.a.1', '12.24.0.f.1', '24.48.0.bq.2', '34.6.0.a.1', '39.8.0-3.a.1.1', '68.12.0.e.1', '78.24.0.?', '102.24.0.?', '156.48.0.?', '204.48.1.?', '312.96.0.?', '340.24.0.?', '408.96.3.?', '1020.96.3.?', '1326.48.0.?', '2040.192.9.?', '2652.96.1.?', '5304.192.3.?', '13260.192.3.?', '26520.384.9.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 5, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 25857], [3, 2, 2873], [5, 6, 51714], [13, 86, 1530], [17, 18, 15210]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.1174764770420331953650602169', 'prec': 100}, 'szpiro_ratio': 4.702021226580028, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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id: 1640129
{'Ciso': '258570s', 'Clabel': '258570s1', 'Cnumber': 1, 'abc_quality': 0.9894109418057115, 'absD': 110640563825875200, 'adelic_genus': 9, 'adelic_index': 384, 'adelic_level': 26520, 'ainvs': [1, -1, 0, -3883905, -2945109699], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 13, 17], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 258570, 'degree': 8847360, 'elladic_images': ['4.6.0.3', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.3999511557728015633918039376', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 18, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [1841373668746009, 31443200], 'lmfdb_iso': '258570.s', 'lmfdb_label': '258570.s2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -2554, 49452], 'min_quad_twist_disc': -39, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '4.6.0.b.1', '6.12.0.a.1', '12.24.0.f.1', '24.48.0.bq.1', '34.6.0.a.1', '39.8.0-3.a.1.2', '68.12.0.e.1', '78.24.0.?', '102.24.0.?', '156.48.0.?', '204.48.1.?', '312.96.0.?', '340.24.0.?', '408.96.3.?', '1020.96.3.?', '1326.48.0.?', '2040.192.9.?', '2652.96.1.?', '5304.192.3.?', '13260.192.3.?', '26520.384.9.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 5, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 25857], [3, 2, 1690], [5, 6, 51714], [13, 86, 1530], [17, 18, 15210]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.56817033270797834966743759835', 'prec': 103}, 'szpiro_ratio': 4.584050142072019, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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id: 1640130
{'Ciso': '258570s', 'Clabel': '258570s2', 'Cnumber': 2, 'abc_quality': 0.9921013018955642, 'absD': 849339203244570090000, 'adelic_genus': 9, 'adelic_index': 384, 'adelic_level': 26520, 'ainvs': [1, -1, 0, -3762225, -3138361875], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 13, 17], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 258570, 'degree': 17694720, 'elladic_images': ['4.6.0.5', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.7465247460527742181004199984', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 18, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [-1673672305534489, 241375690000], 'lmfdb_iso': '258570.s', 'lmfdb_label': '258570.s3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -2474, 52716], 'min_quad_twist_disc': -39, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '4.6.0.a.1', '6.12.0.a.1', '12.24.0.d.1', '24.48.0.bh.1', '39.8.0-3.a.1.2', '68.12.0.d.1', '78.24.0.?', '156.48.0.?', '204.48.1.?', '312.96.0.?', '408.96.3.?', '680.24.0.?', '2040.192.9.?', '2652.96.1.?', '5304.192.3.?', '26520.384.9.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 5, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 1521], [3, 2, 1690], [5, 6, 51714], [13, 86, 1530], [17, 18, 15210]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.91474392298795100437605365915', 'prec': 103}, 'szpiro_ratio': 4.594241999934879, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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id: 1640132
{'Ciso': '258570s', 'Clabel': '258570s4', 'Cnumber': 4, 'abc_quality': 1.0569023051760313, 'absD': 1016916946929000000000000, 'adelic_genus': 9, 'adelic_index': 384, 'adelic_level': 26520, 'ainvs': [1, -1, 0, 24809760, 9564742656], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 13, 17], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 258570, 'degree': 53084160, 'elladic_images': ['4.6.0.5', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.2958308903868290637980426168', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 6, 'iso_nlabel': 18, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [479958568556831351, 289000000000000], 'lmfdb_iso': '258570.s', 'lmfdb_label': '258570.s4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, 16311, -159988], 'min_quad_twist_disc': -39, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '4.6.0.a.1', '6.12.0.a.1', '12.24.0.d.1', '24.48.0.bh.2', '39.8.0-3.a.1.1', '68.12.0.d.1', '78.24.0.?', '156.48.0.?', '204.48.1.?', '312.96.0.?', '408.96.3.?', '680.24.0.?', '2040.192.9.?', '2652.96.1.?', '5304.192.3.?', '26520.384.9.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 5, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 1521], [3, 2, 2873], [5, 6, 51714], [13, 86, 1530], [17, 18, 15210]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.4640500673220058500736762776', 'prec': 100}, 'szpiro_ratio': 5.03042925391394, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}