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ec_classdata • Show schema
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{'anlist': [0, 1, -1, -1, 1, 2, 1, 4, -1, 1, -2, 0, -1, 6, -4, -2, 1, -2, -1, -4, 2], 'aplist': [-1, -1, 2, 4, 0, 6, -2, -4, 4, -6, 0, 6, 6, -4, -12, 2, 12, 14, 4, -12, 6, 4, -4, 10, -14], 'class_deg': 4, 'class_size': 4, 'conductor': 726, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '726.c', 'trace_hash': 328687328404034670}
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lmfdb_iso 726.c does not appear in ec_padic
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ec_curvedata • Show schema
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id: 3476
{'Ciso': '726c', 'Clabel': '726c3', 'Cnumber': 3, 'abc_quality': 1.0237597269657934, 'absD': 116923026, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 264, 'ainvs': [1, 1, 0, -42594, 3365850], 'analytic_rank': 0, 'bad_primes': [2, 3, 11], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 726, 'degree': 1920, 'elladic_images': ['8.12.0.11'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.1039937355485144005447149799', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 2, 'isogeny_degrees': [1, 2, 4], 'jinv': [4824238966273, 66], 'lmfdb_iso': '726.c', 'lmfdb_label': '726.c1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -352, -2689], 'min_quad_twist_disc': -11, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.m.1', '12.12.0-4.c.1.1', '24.24.0-8.m.1.3', '88.24.0.?', '264.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 363], [3, 4, 242], [11, 72, 6]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.094953900850670871486256809082', 'prec': 110}, 'szpiro_ratio': 6.617338107455956, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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id: 3475
{'Ciso': '726c', 'Clabel': '726c2', 'Cnumber': 2, 'abc_quality': 0.9673590594607858, 'absD': 7716919716, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 264, 'ainvs': [1, 1, 0, -2664, 51660], 'analytic_rank': 0, 'bad_primes': [2, 3, 11], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 726, 'degree': 960, 'elladic_images': ['8.12.0.4'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.75742014526854174583609891921', 'prec': 103}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 2, 'isogeny_degrees': [1, 2], 'jinv': [1180932193, 4356], 'lmfdb_iso': '726.c', 'lmfdb_label': '726.c2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -22, -49], 'min_quad_twist_disc': -11, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '8.12.0.b.1', '12.12.0-2.a.1.1', '24.24.0-8.b.1.3', '44.12.0-2.a.1.1', '88.24.0.?', '132.24.0.?', '264.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 121], [3, 4, 242], [11, 72, 6]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.44152749113064352619487286977', 'prec': 107}, 'szpiro_ratio': 5.355092790948498, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
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id: 3477
{'Ciso': '726c', 'Clabel': '726c4', 'Cnumber': 4, 'abc_quality': 1.0250656507343525, 'absD': 4201862785362, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 264, 'ainvs': [1, 1, 0, -1454, 100302], 'analytic_rank': 0, 'bad_primes': [2, 3, 11], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 726, 'degree': 1920, 'elladic_images': ['8.12.0.16'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.1039937355485144005447149799', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 2, 'isogeny_degrees': [1, 2, 4], 'jinv': [-192100033, 2371842], 'lmfdb_iso': '726.c', 'lmfdb_label': '726.c3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -12, -81], 'min_quad_twist_disc': -11, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.d.1', '24.24.0-8.d.1.3', '44.12.0-4.c.1.1', '88.24.0.?', '264.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 121], [3, 4, 242], [11, 72, 6]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.094953900850670871486256809082', 'prec': 110}, 'szpiro_ratio': 5.5509368427869425, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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id: 3474
{'Ciso': '726c', 'Clabel': '726c1', 'Cnumber': 1, 'abc_quality': 1.1833618774298937, 'absD': 935384208, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 264, 'ainvs': [1, 1, 0, -244, -128], 'analytic_rank': 0, 'bad_primes': [2, 3, 11], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 726, 'degree': 480, 'elladic_images': ['8.12.0.11'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.41084655498856909112748285848', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 2, 'isogeny_degrees': [1, 2, 4], 'jinv': [912673, 528], 'lmfdb_iso': '726.c', 'lmfdb_label': '726.c4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -2, -1], 'min_quad_twist_disc': -11, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.m.1', '12.12.0-4.c.1.2', '24.24.0-8.m.1.1', '44.12.0-4.c.1.2', '66.6.0.a.1', '88.24.0.?', '132.24.0.?', '264.48.0.?'], '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, 4, 363], [3, 4, 242], [11, 72, 6]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.78810108141061618090348893050', 'prec': 107}, 'szpiro_ratio': 4.267368674095453, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}