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ec_classdata • Show schema
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{'anlist': [0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 4, 0, -2, 0, 0, 0, 6, 0, 8, 0], 'aplist': [0, 0, 2, 1, 4, -2, 6, 8, 0, 6, -8, 2, -2, -4, -8, 6, 0, 6, -4, -8, 10, -16, -8, 6, -6], 'class_deg': 4, 'class_size': 4, 'conductor': 4032, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '4032.bk', 'trace_hash': 906952123743309320}
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lmfdb_iso 4032.bk does not appear in ec_padic
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ec_curvedata • Show schema
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id: 24616
{'Ciso': '4032bj', 'Clabel': '4032bj4', 'Cnumber': 4, 'abc_quality': 1.0465382471182303, 'absD': 668860416, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 168, 'ainvs': [0, 0, 0, -10764, 429840], 'analytic_rank': 0, 'bad_primes': [2, 3, 7], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 4032, 'degree': 4096, 'elladic_images': ['8.12.0.9'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.89384690781544001205969514220', 'prec': 103}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 36, 'isogeny_degrees': [1, 2, 4], 'jinv': [1443468546, 7], 'lmfdb_iso': '4032.bk', 'lmfdb_label': '4032.bk1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, -299, 1990], 'min_quad_twist_disc': 24, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.p.1', '12.12.0-4.c.1.1', '24.24.0-8.p.1.6', '56.24.0.bp.1', '168.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 63], [3, 6, 448], [7, 8, 576]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.63741774231187068864567298166', 'prec': 107}, 'szpiro_ratio': 4.7537227060522005, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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id: 24615
{'Ciso': '4032bj', 'Clabel': '4032bj3', 'Cnumber': 3, 'abc_quality': 1.1170620055320515, 'absD': 229419122688, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 168, 'ainvs': [0, 0, 0, -2124, -29808], 'analytic_rank': 0, 'bad_primes': [2, 3, 7], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 4032, 'degree': 4096, 'elladic_images': ['8.12.0.15'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.89384690781544001205969514220', 'prec': 103}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 36, 'isogeny_degrees': [1, 2, 4], 'jinv': [11090466, 2401], 'lmfdb_iso': '4032.bk', 'lmfdb_label': '4032.bk2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, -59, -138], 'min_quad_twist_disc': 24, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.k.1', '12.12.0-4.c.1.2', '24.24.0-8.k.1.2', '56.24.0.v.1', '168.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 9], [3, 6, 448], [7, 8, 576]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.63741774231187068864567298166', 'prec': 107}, 'szpiro_ratio': 4.167272700761161, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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id: 24614
{'Ciso': '4032bj', 'Clabel': '4032bj2', 'Cnumber': 2, 'abc_quality': 1.0653400939100561, 'absD': 2341011456, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 168, 'ainvs': [0, 0, 0, -684, 6480], 'analytic_rank': 0, 'bad_primes': [2, 3, 7], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 4032, 'degree': 2048, 'elladic_images': ['8.12.0.3'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.54727331753546735735107908147', 'prec': 103}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 36, 'isogeny_degrees': [1, 2], 'jinv': [740772, 49], 'lmfdb_iso': '4032.bk', 'lmfdb_label': '4032.bk3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, -19, 30], 'min_quad_twist_disc': 24, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '8.12.0.a.1', '12.12.0-2.a.1.1', '24.24.0-8.a.1.1', '28.12.0.b.1', '56.24.0.d.1', '84.24.0.?', '168.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 9], [3, 6, 448], [7, 8, 576]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.92622906754518123423618636560', 'prec': 107}, 'szpiro_ratio': 3.7578185810379816, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
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id: 24613
{'Ciso': '4032bj', 'Clabel': '4032bj1', 'Cnumber': 1, 'abc_quality': 0.8915192755066496, 'absD': 83607552, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 168, 'ainvs': [0, 0, 0, 36, 432], 'analytic_rank': 0, 'bad_primes': [2, 3, 7], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 4032, 'degree': 1024, 'elladic_images': ['8.12.0.9'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.20069972725549470264246302074', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 36, 'isogeny_degrees': [1, 2, 4], 'jinv': [432, 7], 'lmfdb_iso': '4032.bk', 'lmfdb_label': '4032.bk4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, 1, 2], 'min_quad_twist_disc': 24, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.p.1', '14.6.0.b.1', '24.24.0-8.p.1.7', '28.12.0.g.1', '56.24.0.bn.1', '168.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 63], [3, 6, 448], [7, 8, 576]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.1572781277318296707085970728', 'prec': 103}, 'szpiro_ratio': 3.090814462474071, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
