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ec_curvedata • Show schema
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{'Ciso': '480896bf', 'Clabel': '480896bf1', 'Cnumber': 1, 'abc_quality': 0.7564969331468137, 'absD': 2570554548224, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 104, 'ainvs': [0, 0, 0, -1156, 78608], 'analytic_rank': 0, 'bad_primes': [2, 13, 17], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 480896, 'degree': 1408000, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.0626629930034616615601224977', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 31, 'isogeny_degrees': [1], 'jinv': [-864, 13], 'lmfdb_iso': '480896.bf', 'lmfdb_label': '480896.bf1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, -4, 16], 'min_quad_twist_disc': 17, 'modell_images': [], 'modm_images': ['104.2.0.?'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 3757], [13, 14, 36992], [17, 146, 1664]], 'sha': 4, 'sha_primes': [2], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.1048531246312537970999796095', 'prec': 103}, 'szpiro_ratio': 2.7567440919612487, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
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ec_classdata • Show schema
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{'anlist': [0, 1, 0, 3, 0, 3, 0, 1, 0, 6, 0, 4, 0, -1, 0, 9, 0, 0, 0, -6, 0], 'aplist': [0, 3, 3, 1, 4, -1, 0, -6, 6, 0, 8, -9, 6, -5, -5, -6, 0, -2, 2, -9, -8, -8, -4, 14, 16], 'class_deg': 1, 'class_size': 1, 'conductor': 480896, 'isogeny_matrix': [[1]], 'lmfdb_iso': '480896.bf', 'trace_hash': 1436016443564118008}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.11939404113549410675021288419', 'prec': 103}, 'conductor': 480896, 'gens': [], 'heights': [], 'lmfdb_label': '480896.bf1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.68643063895306187001185798145', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '4.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '10.982890223248989920189727703176803723', 'prec': 130}, 'tamagawa_product': 4, 'torsion_generators': [], 'xcoord_integral_points': []}
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lmfdb_label 480896.bf1 does not appear in ec_iwasawa
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lmfdb_label 480896.bf1 does not appear in ec_torsion_growth
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ec_localdata • Show schema
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id: 11853794
{'conductor': 480896, 'conductor_valuation': 7, 'discriminant_valuation': 13, 'j_denominator_valuation': 0, 'kodaira_symbol': -6, 'lmfdb_label': '480896.bf1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
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id: 11853795
{'conductor': 480896, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '480896.bf1', 'prime': 13, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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id: 11853796
{'conductor': 480896, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '480896.bf1', 'prime': 17, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
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ec_galrep • Show schema
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{'adelic_gens': [[41, 2, 41, 3], [1, 2, 0, 1], [53, 2, 53, 3], [1, 0, 2, 1], [103, 2, 102, 3], [1, 1, 103, 0], [79, 2, 79, 3]], 'adelic_image': '104.2.0.?', 'conductor': 480896, 'lmfdb_label': '480896.bf1', 'prime': 0}
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lmfdb_iso 480896.bf does not appear in ec_padic