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ec_classdata • Show schema
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{'anlist': [0, 1, 0, -1, 0, -2, 0, 0, 0, 1, 0, -4, 0, 0, 0, 2, 0, 2, 0, 4, 0], 'aplist': [0, -1, -2, 0, -4, 0, 2, 4, 8, -6, 8, 6, 6, 4, 0, 2, -4, 2, 4, 8, -10, 8, 4, 6, -2], 'class_deg': 8, 'class_size': 6, 'conductor': 32448, 'isogeny_matrix': [[1, 8, 2, 4, 8, 4], [8, 1, 4, 2, 4, 8], [2, 4, 1, 2, 4, 2], [4, 2, 2, 1, 2, 4], [8, 4, 4, 2, 1, 8], [4, 8, 2, 4, 8, 1]], 'lmfdb_iso': '32448.n', 'trace_hash': 1374267989891345265}
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lmfdb_iso 32448.n does not appear in ec_padic
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ec_curvedata • Show schema
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id: 216031
{'Ciso': '32448ci', 'Clabel': '32448ci6', 'Cnumber': 6, 'abc_quality': 1.2105879594055395, 'absD': 5693935583232, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 624, 'ainvs': [0, -1, 0, -259809, 51058305], 'analytic_rank': 0, 'bad_primes': [2, 3, 13], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 32448, 'degree': 147456, 'elladic_images': ['16.48.0.210'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.6768431634908290594935812261', 'prec': 100}, 'faltings_index': 5, 'faltings_ratio': 8, 'iso_nlabel': 13, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [3065617154, 9], 'lmfdb_iso': '32448.n', 'lmfdb_label': '32448.n1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -384, -2772], 'min_quad_twist_disc': -104, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.24.0.r.1', '16.48.0.l.1', '24.48.0.bf.1', '48.96.1.bv.1', '52.12.0-4.c.1.2', '104.48.0.?', '208.96.0.?', '312.96.0.?', '624.192.1.?'], '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, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.58759002103319516354090800008', 'prec': 107}, 'szpiro_ratio': 4.718865246215369, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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id: 216029
{'Ciso': '32448ci', 'Clabel': '32448ci4', 'Cnumber': 4, 'abc_quality': 1.0561716345991692, 'absD': 948989263872, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 624, 'ainvs': [0, -1, 0, -43489, -3475967], 'analytic_rank': 0, 'bad_primes': [2, 3, 13], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 32448, 'degree': 73728, 'elladic_images': ['16.48.0.127'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.3302695732108564047849651654', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 13, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [28756228, 3], 'lmfdb_iso': '32448.n', 'lmfdb_label': '32448.n2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -64, 220], 'min_quad_twist_disc': -104, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.24.0.bb.2', '12.12.0.h.1', '16.48.0.bb.2', '24.48.0.bn.1', '48.96.1.em.1', '104.48.0.?', '208.96.0.?', '312.96.0.?', '624.192.1.?'], '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, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.87640134626650570913142138399', 'prec': 107}, 'szpiro_ratio': 4.202634038541358, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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id: 216028
{'Ciso': '32448ci', 'Clabel': '32448ci3', 'Cnumber': 3, 'abc_quality': 1.0321229303519712, 'absD': 25622710124544, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 312, 'ainvs': [0, -1, 0, -16449, 780129], 'analytic_rank': 0, 'bad_primes': [2, 3, 13], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 32448, 'degree': 73728, 'elladic_images': ['8.48.0.88'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.3302695732108564047849651654', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 13, 'isogeny_degrees': [1, 2, 4], 'jinv': [1556068, 81], 'lmfdb_iso': '32448.n', 'lmfdb_label': '32448.n3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -24, -36], 'min_quad_twist_disc': -104, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0.b.1', '8.48.0.e.2', '24.96.1.bl.2', '52.24.0-4.b.1.2', '104.96.0.?', '312.192.1.?'], '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, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.87640134626650570913142138399', 'prec': 107}, 'szpiro_ratio': 3.9218425119222253, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
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id: 216027
{'Ciso': '32448ci', 'Clabel': '32448ci2', 'Cnumber': 2, 'abc_quality': 0.972547111469975, 'absD': 711741947904, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 312, 'ainvs': [0, -1, 0, -2929, -44591], 'analytic_rank': 0, 'bad_primes': [2, 3, 13], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 32448, 'degree': 36864, 'elladic_images': ['8.48.0.138'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.98369598293088375007634910468', 'prec': 103}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 13, 'isogeny_degrees': [1, 2, 4], 'jinv': [35152, 9], 'lmfdb_iso': '32448.n', 'lmfdb_label': '32448.n4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -4, 4], 'min_quad_twist_disc': -104, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0.b.1', '8.48.0.h.1', '12.24.0.c.1', '24.96.1.bu.1', '104.96.0.?', '312.192.1.?'], '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, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.1074504064531541456038320911', 'prec': 103}, 'szpiro_ratio': 3.4234951682353643, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
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id: 216026
{'Ciso': '32448ci', 'Clabel': '32448ci1', 'Cnumber': 1, 'abc_quality': 1.1757189916348774, 'absD': 14827957248, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 624, 'ainvs': [0, -1, 0, 451, -4707], 'analytic_rank': 0, 'bad_primes': [2, 3, 13], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 32448, 'degree': 18432, 'elladic_images': ['16.48.0.150'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.63712239265091109536773304396', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 13, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [2048, 3], 'lmfdb_iso': '32448.n', 'lmfdb_label': '32448.n5', 'lmfdb_number': 5, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, 1, 0], 'min_quad_twist_disc': -104, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '6.6.0.a.1', '8.24.0.ba.1', '12.12.0.g.1', '16.48.0.y.1', '24.48.0.bi.2', '48.96.1.dt.1', '104.48.0.?', '208.96.0.?', '312.96.0.?', '624.192.1.?'], '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, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.2229749365464783638400374447', 'prec': 103}, 'szpiro_ratio': 2.923916342982845, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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id: 216030
{'Ciso': '32448ci', 'Clabel': '32448ci5', 'Cnumber': 5, 'abc_quality': 1.1597991410868231, 'absD': 4150879040176128, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 624, 'ainvs': [0, -1, 0, 10591, 3067713], 'analytic_rank': 0, 'bad_primes': [2, 3, 13], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 32448, 'degree': 147456, 'elladic_images': ['8.48.0.218'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.6768431634908290594935812261', 'prec': 100}, 'faltings_index': 4, 'faltings_ratio': 8, 'iso_nlabel': 13, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [207646, 6561], 'lmfdb_iso': '32448.n', 'lmfdb_label': '32448.n6', 'lmfdb_number': 6, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, 16, -180], 'min_quad_twist_disc': -104, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.48.0.m.1', '48.96.1.w.2', '52.12.0-4.c.1.1', '104.96.0.?', '624.192.1.?'], '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, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.58759002103319516354090800008', 'prec': 107}, 'szpiro_ratio': 4.177980655242749, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}