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ec_curvedata • Show schema
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{'Ciso': '474320br', 'Clabel': '474320br2', 'Cnumber': 2, 'abc_quality': 0.8901419193332675, 'absD': 777786141440000, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 56, 'ainvs': [0, 1, 0, -29080, 1347828], 'analytic_rank': 2, 'bad_primes': [2, 5, 7, 11], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 474320, 'degree': 1966080, 'elladic_images': ['8.6.0.3'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.5638428833105486512076975289', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 43, 'isogeny_degrees': [1, 2], 'jinv': [2185454, 625], 'lmfdb_iso': '474320.br', 'lmfdb_label': '474320.br1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -240, 1100], 'min_quad_twist_disc': 44, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '8.6.0.e.1', '28.6.0.c.1', '56.12.0.bd.1'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 17, 'optimality': 2, 'potential_good_reduction': False, 'rank': 2, 'regulator': {'__RealLiteral__': 0, 'data': '1.6905885918118215260560467230', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.75696720586574814739874189061', 'prec': 107}, 'szpiro_ratio': 3.24776071911535, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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ec_classdata • Show schema
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{'anlist': [0, 1, 0, -2, 0, 1, 0, 0, 0, 1, 0, 0, 0, -2, 0, -2, 0, 0, 0, 2, 0], 'aplist': [0, -2, 1, 0, 0, -2, 0, 2, 4, -10, -4, -2, 12, -4, -4, 2, -10, -6, -4, 12, 4, -4, 14, 8, -8], 'class_deg': 2, 'class_size': 2, 'conductor': 474320, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '474320.br', 'trace_hash': 1709426364885899468}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.043819087597947741488526853628', 'prec': 107}, 'conductor': 474320, 'gens': [[-4, 1210, 1], [-169, 1210, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.90071563153644120578487332205', 'prec': 103}, {'__RealLiteral__': 0, 'data': '1.9979690663069686903267678746', 'prec': 100}], 'lmfdb_label': '474320.br1', 'ngens': 2, 'rank_bounds': [2, 2], 'real_period': {'__RealLiteral__': 0, 'data': '0.46921138317369852570968280429', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '12.691894584667199999508005564823223437', 'prec': 130}, 'tamagawa_product': 64, 'torsion_generators': [[51, 0, 1]], 'xcoord_integral_points': [-169, -124, -12, -4, 51, 151, 172, 436, 98611]}
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lmfdb_label 474320.br1 does not appear in ec_iwasawa
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lmfdb_label 474320.br1 does not appear in ec_torsion_growth
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ec_localdata • Show schema
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id: 11694000
{'conductor': 474320, 'conductor_valuation': 4, 'discriminant_valuation': 11, 'j_denominator_valuation': 0, 'kodaira_symbol': -7, 'lmfdb_label': '474320.br1', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
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id: 11694001
{'conductor': 474320, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '474320.br1', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 4}
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id: 11694002
{'conductor': 474320, 'conductor_valuation': 2, 'discriminant_valuation': 3, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '474320.br1', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
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id: 11694003
{'conductor': 474320, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '474320.br1', 'prime': 11, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
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ec_galrep • Show schema
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id: 4574698
{'adelic_gens': [[1, 2, 2, 5], [36, 25, 49, 8], [2, 1, 27, 0], [3, 4, 8, 11], [53, 4, 52, 5], [12, 1, 39, 0], [1, 4, 0, 1], [1, 0, 4, 1]], 'adelic_image': '56.12.0.?', 'conductor': 474320, 'lmfdb_label': '474320.br1', 'prime': 0}
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id: 1575146
{'conductor': 474320, 'elladic_image': '8.6.0.3', 'lmfdb_label': '474320.br1', 'modell_image': '2B', 'prime': 2}
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lmfdb_iso 474320.br does not appear in ec_padic