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ec_classdata • Show schema
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{'anlist': [0, 1, 0, 0, 0, -2, 0, 0, 0, 0, 0, 4, 0, -1, 0, 0, 0, 6, 0, 8, 0], 'aplist': [0, 0, -2, 0, 4, -1, 6, 8, -8, 2, 8, 10, -6, 4, 0, -14, -12, 10, 8, 0, -14, -4, 4, 10, 10], 'class_deg': 4, 'class_size': 4, 'conductor': 7488, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '7488.p', 'trace_hash': 579112327913211719}
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lmfdb_iso 7488.p does not appear in ec_padic
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ec_curvedata • Show schema
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id: 48051
{'Ciso': '7488q', 'Clabel': '7488q3', 'Cnumber': 3, 'abc_quality': 1.0110791802338388, 'absD': 8384643072, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 312, 'ainvs': [0, 0, 0, -134796, 19048624], 'analytic_rank': 0, 'bad_primes': [2, 3, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 7488, 'degree': 24576, 'elladic_images': ['8.12.0.8'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.4085960769634088708018216280', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 15, 'isogeny_degrees': [1, 2, 4], 'jinv': [11339065490696, 351], 'lmfdb_iso': '7488.p', 'lmfdb_label': '7488.p1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -3744, -86940], 'min_quad_twist_disc': -24, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0-4.c.1.4', '24.24.0-24.ba.1.14', '104.24.0.?', '156.12.0.?', '312.48.0.?'], '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, 117], [3, 6, 832], [13, 14, 576]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.0071440430705776116673411422837', 'prec': 113}, 'szpiro_ratio': 5.273832052328906, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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id: 48050
{'Ciso': '7488q', 'Clabel': '7488q2', 'Cnumber': 2, 'abc_quality': 1.0666224422011716, 'absD': 367876214784, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 312, 'ainvs': [0, 0, 0, -8436, 296800], 'analytic_rank': 0, 'bad_primes': [2, 3, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 7488, 'degree': 12288, 'elladic_images': ['8.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.0620224866834362160932055673', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 15, 'isogeny_degrees': [1, 2], 'jinv': [22235451328, 123201], 'lmfdb_iso': '7488.p', 'lmfdb_label': '7488.p2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -234, -1296], 'min_quad_twist_disc': -24, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '8.12.0-2.a.1.1', '12.12.0.a.1', '24.24.0-12.a.1.1', '52.12.0-2.a.1.2', '104.24.0.?', '156.24.0.?', '312.48.0.?'], '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, 832], [13, 14, 576]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.18043083821056393902164917262', 'prec': 107}, 'szpiro_ratio': 4.341906298623786, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
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id: 48052
{'Ciso': '7488q', 'Clabel': '7488q4', 'Cnumber': 4, 'abc_quality': 1.1090184401235288, 'absD': 165034929586176, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 312, 'ainvs': [0, 0, 0, -3756, 624400], 'analytic_rank': 0, 'bad_primes': [2, 3, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 7488, 'degree': 24576, 'elladic_images': ['8.12.0.12'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.4085960769634088708018216280', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 15, 'isogeny_degrees': [1, 2, 4], 'jinv': [-245314376, 6908733], 'lmfdb_iso': '7488.p', 'lmfdb_label': '7488.p3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -104, -2856], 'min_quad_twist_disc': -24, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0-4.c.1.2', '24.24.0-24.ba.1.2', '104.24.0.?', '156.12.0.?', '312.48.0.?'], '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, 117], [3, 6, 832], [13, 14, 576]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.0071440430705776116673411422837', 'prec': 113}, 'szpiro_ratio': 4.507564338060968, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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id: 48049
{'Ciso': '7488q', 'Clabel': '7488q1', 'Cnumber': 1, 'abc_quality': 1.069422794221752, 'absD': 35978634432, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 312, 'ainvs': [0, 0, 0, -831, -1316], 'analytic_rank': 0, 'bad_primes': [2, 3, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 7488, 'degree': 6144, 'elladic_images': ['8.12.0.7'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.71544889640346356138458950658', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 15, 'isogeny_degrees': [1, 2, 4], 'jinv': [1360251712, 771147], 'lmfdb_iso': '7488.p', 'lmfdb_label': '7488.p4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -369, 513], 'min_quad_twist_disc': -24, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0-4.c.1.3', '12.12.0.h.1', '24.24.0-12.h.1.2', '104.24.0.?', '312.48.0.?'], '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, 9], [3, 6, 832], [13, 14, 576]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.18043083821056393902164917261', 'prec': 107}, 'szpiro_ratio': 3.5625254218870834, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}