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ec_classdata • Show schema
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{'anlist': [0, 1, 0, -1, 0, 0, 0, 4, 0, 1, 0, 0, 0, -2, 0, 0, 0, 6, 0, 0, 0], 'aplist': [0, -1, 0, 4, 0, -2, 6, 0, 4, 2, -8, 6, -6, 12, 12, -10, -8, 10, -12, 8, -10, 16, 12, -6, -18], 'class_deg': 4, 'class_size': 4, 'conductor': 4800, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '4800.bi', 'trace_hash': 2080485024305586963}
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lmfdb_iso 4800.bi does not appear in ec_padic
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ec_curvedata • Show schema
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id: 29629
{'Ciso': '4800bn', 'Clabel': '4800bn4', 'Cnumber': 4, 'abc_quality': 1.0109039721020272, 'absD': 23040000000, 'adelic_genus': 3, 'adelic_index': 192, 'adelic_level': 240, 'ainvs': [0, -1, 0, -48033, 4067937], 'analytic_rank': 0, 'bad_primes': [2, 3, 5], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 4800, 'degree': 12288, 'elladic_images': ['8.24.0.52'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.2436119874318244039766560450', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 34, 'isogeny_degrees': [1, 2, 4], 'jinv': [23937672968, 45], 'lmfdb_iso': '4800.bi', 'lmfdb_label': '4800.bi1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -480, 4212], 'min_quad_twist_disc': 40, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.1', '8.24.0-8.o.1.8', '40.48.0-40.by.1.4', '48.48.0-48.j.1.9', '80.96.0.?', '240.192.3.?'], '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': '-0.42754094448515742009526377344', 'prec': 107}, 'szpiro_ratio': 5.185303178885967, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [4]}
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id: 29628
{'Ciso': '4800bn', 'Clabel': '4800bn3', 'Cnumber': 3, 'abc_quality': 0.98174487513138, 'absD': 16796160000000, 'adelic_genus': 3, 'adelic_index': 192, 'adelic_level': 240, 'ainvs': [0, -1, 0, -8033, -192063], 'analytic_rank': 0, 'bad_primes': [2, 3, 5], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 4800, 'degree': 12288, 'elladic_images': ['8.24.0.62'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.2436119874318244039766560450', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 34, 'isogeny_degrees': [1, 2, 4], 'jinv': [111980168, 32805], 'lmfdb_iso': '4800.bi', 'lmfdb_label': '4800.bi2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -80, -168], 'min_quad_twist_disc': 40, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.2', '8.24.0-8.o.1.6', '40.48.0-40.by.1.2', '48.48.0-48.j.1.1', '80.96.0.?', '240.192.3.?'], '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': '-0.42754094448515742009526377344', 'prec': 107}, 'szpiro_ratio': 4.552380568147635, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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id: 29627
{'Ciso': '4800bn', 'Clabel': '4800bn2', 'Cnumber': 2, 'abc_quality': 1.0209883182460326, 'absD': 129600000000, 'adelic_genus': 3, 'adelic_index': 192, 'adelic_level': 240, 'ainvs': [0, -1, 0, -3033, 62937], 'analytic_rank': 0, 'bad_primes': [2, 3, 5], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 4800, 'degree': 6144, 'elladic_images': ['4.24.0.4'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.89703839715185174926803998429', 'prec': 103}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 34, 'isogeny_degrees': [1, 2], 'jinv': [48228544, 2025], 'lmfdb_iso': '4800.bi', 'lmfdb_label': '4800.bi3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -30, 72], 'min_quad_twist_disc': 40, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.24.0-4.a.1.2', '24.48.0-24.j.1.7', '40.48.0-40.a.1.6', '80.96.0.?', '120.96.1.?', '240.192.3.?'], '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': '-0.60082773962514374744957180378', 'prec': 107}, 'szpiro_ratio': 4.207679727062317, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
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id: 29626
{'Ciso': '4800bn', 'Clabel': '4800bn1', 'Cnumber': 1, 'abc_quality': 1.1500905082842972, 'absD': 5625000000, 'adelic_genus': 3, 'adelic_index': 192, 'adelic_level': 240, 'ainvs': [0, -1, 0, 92, 3562], 'analytic_rank': 0, 'bad_primes': [2, 3, 5], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 4800, 'degree': 3072, 'elladic_images': ['8.24.0.68'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.55046480687187909455942392356', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 34, 'isogeny_degrees': [1, 2, 4], 'jinv': [85184, 5625], 'lmfdb_iso': '4800.bi', 'lmfdb_label': '4800.bi4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, 15, 225], 'min_quad_twist_disc': 40, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0.d.1', '8.24.0-4.d.1.3', '24.48.0-24.z.1.8', '40.48.0-40.bf.1.4', '60.24.0-4.d.1.2', '80.96.0.?', '120.96.1.?', '240.192.3.?'], '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': '-0.60082773962514374744957180378', 'prec': 107}, 'szpiro_ratio': 3.5270286808013376, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
