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ec_classdata • Show schema
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{'anlist': [0, 1, 0, 1, 0, -1, 0, -1, 0, 1, 0, 0, 0, -1, 0, -1, 0, -6, 0, -8, 0], 'aplist': [0, 1, -1, -1, 0, -1, -6, -8, -4, 6, 0, -6, -6, 4, -8, 2, -8, -2, 12, 0, -2, -8, 4, 18, -2], 'class_deg': 4, 'class_size': 4, 'conductor': 21840, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '21840.bk', 'trace_hash': 1451882635352047938}
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lmfdb_iso 21840.bk does not appear in ec_padic
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ec_curvedata • Show schema
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id: 144933
{'Ciso': '21840k', 'Clabel': '21840k4', 'Cnumber': 4, 'abc_quality': 1.000292711746113, 'absD': 105210424719504599040, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 520, 'ainvs': [0, 1, 0, -1703016, -699273900], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 21840, 'degree': 688128, 'elladic_images': ['8.12.0.8'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.5590324392448641755975883895', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 36, 'isogeny_degrees': [1, 2, 4], 'jinv': [266716694084614489298, 51372277695070605], 'lmfdb_iso': '21840.bk', 'lmfdb_label': '21840.bk1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -1703016, 699273900], 'min_quad_twist_disc': -4, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0-4.c.1.4', '20.12.0-4.c.1.2', '40.24.0-40.v.1.2', '104.24.0.?', '520.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, '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': '1.9236475237315809752984589448', 'prec': 100}, 'szpiro_ratio': 5.470384454141012, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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id: 144931
{'Ciso': '21840k', 'Clabel': '21840k2', 'Cnumber': 2, 'abc_quality': 0.9953585831285345, 'absD': 24031299612902400, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 520, 'ainvs': [0, 1, 0, -1614816, -790331580], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 21840, 'degree': 344064, 'elladic_images': ['8.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.2124588489648915208889723288', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 36, 'isogeny_degrees': [1, 2], 'jinv': [454771411897393003396, 23468066028225], 'lmfdb_iso': '21840.bk', 'lmfdb_label': '21840.bk2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -1614816, 790331580], 'min_quad_twist_disc': -4, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '8.12.0-2.a.1.1', '20.12.0-2.a.1.1', '40.24.0-40.a.1.2', '52.12.0-2.a.1.1', '104.24.0.?', '260.24.0.?', '520.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, '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': '1.6348361984982704297079455609', 'prec': 100}, 'szpiro_ratio': 5.454416948903829, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
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id: 144930
{'Ciso': '21840k', 'Clabel': '21840k1', 'Cnumber': 1, 'abc_quality': 0.9953574899728947, 'absD': 1240162560, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 520, 'ainvs': [0, 1, 0, -1614796, -790352116], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 21840, 'degree': 172032, 'elladic_images': ['8.12.0.12'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.8658852586849188661803562680', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 36, 'isogeny_degrees': [1, 2, 4], 'jinv': [1819018058610682173904, 4844385], 'lmfdb_iso': '21840.bk', 'lmfdb_label': '21840.bk3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -1614796, 790352116], 'min_quad_twist_disc': -4, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0-4.c.1.2', '20.12.0-4.c.1.1', '40.24.0-40.bb.1.1', '52.12.0-4.c.1.1', '104.24.0.?', '130.6.0.?', '260.24.0.?', '520.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, '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': '1.4037871383116219932355348537', 'prec': 100}, 'szpiro_ratio': 5.454413230126439, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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id: 144932
{'Ciso': '21840k', 'Clabel': '21840k3', 'Cnumber': 3, 'abc_quality': 0.998884437558987, 'absD': 106363932180629760000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 520, 'ainvs': [0, 1, 0, -1526936, -880074636], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 21840, 'degree': 688128, 'elladic_images': ['8.12.0.7'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.5590324392448641755975883895', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 36, 'isogeny_degrees': [1, 2, 4], 'jinv': [-192245661431796830258, 51935513760073125], 'lmfdb_iso': '21840.bk', 'lmfdb_label': '21840.bk4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -1526936, 880074636], 'min_quad_twist_disc': -4, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0-4.c.1.3', '40.24.0-40.bb.1.6', '52.12.0-4.c.1.2', '104.24.0.?', '520.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, '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': '1.9236475237315809752984589448', 'prec': 100}, 'szpiro_ratio': 5.475957732094518, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
