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ec_curvedata • Show schema
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{'Ciso': '477964e', 'Clabel': '477964e1', 'Cnumber': 1, 'abc_quality': 0.7573602326093332, 'absD': 249154985776, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 662, 'ainvs': [0, -1, 0, 963, -21406], 'analytic_rank': 0, 'bad_primes': [2, 19, 331], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 477964, 'degree': 775656, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.87057526488836002725493873727', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 4, 'isogeny_degrees': [1], 'jinv': [131072, 331], 'lmfdb_iso': '477964.e', 'lmfdb_label': '477964.e1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, 3, 4], 'min_quad_twist_disc': -19, 'modell_images': [], 'modm_images': ['662.2.0.?'], '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, 'sha': 4, 'sha_primes': [2], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.83269328488150863922198568583', 'prec': 107}, 'szpiro_ratio': 2.556782415902881, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
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ec_classdata • Show schema
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{'anlist': [0, 1, 0, 2, 0, -3, 0, -4, 0, 1, 0, -2, 0, 6, 0, -6, 0, -3, 0, 0, 0], 'aplist': [0, 2, -3, -4, -2, 6, -3, 0, -4, 8, 5, 8, -12, 7, 2, 11, -4, -6, 13, -5, -2, 1, 0, 6, 2], 'class_deg': 1, 'class_size': 1, 'conductor': 477964, 'isogeny_matrix': [[1]], 'lmfdb_iso': '477964.e', 'trace_hash': 1546117785161928330}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.17531857529494986941483796093', 'prec': 103}, 'conductor': 477964, 'gens': [], 'heights': [], 'lmfdb_label': '477964.e1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.50871193216692188296192754969', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '4.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.0348477286676875318477101987457656122', 'prec': 130}, 'tamagawa_product': 1, 'torsion_generators': [], 'xcoord_integral_points': []}
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lmfdb_label 477964.e1 does not appear in ec_iwasawa
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lmfdb_label 477964.e1 does not appear in ec_torsion_growth
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ec_localdata • Show schema
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id: 11779833
{'conductor': 477964, 'conductor_valuation': 2, 'discriminant_valuation': 4, 'j_denominator_valuation': 0, 'kodaira_symbol': 4, 'lmfdb_label': '477964.e1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
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id: 11779834
{'conductor': 477964, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '477964.e1', 'prime': 19, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
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id: 11779835
{'conductor': 477964, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '477964.e1', 'prime': 331, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
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ec_galrep • Show schema
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{'adelic_gens': [[1, 1, 661, 0], [661, 2, 660, 3], [1, 0, 2, 1], [1, 2, 0, 1], [3, 2, 3, 3]], 'adelic_image': '662.2.0.?', 'conductor': 477964, 'lmfdb_label': '477964.e1', 'prime': 0}
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lmfdb_iso 477964.e does not appear in ec_padic