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ec_curvedata • Show schema
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{'Ciso': '271950g', 'Clabel': '271950g1', 'Cnumber': 1, 'abc_quality': 0.933064163878901, 'absD': 5068363214848500000, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 6216, 'ainvs': [1, 1, 0, -496150, 172496500], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 37], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 271950, 'degree': 8064000, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.2990383586943820515647732463', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 6, 'isogeny_degrees': [1], 'jinv': [-7347774183121, 2757144096], 'lmfdb_iso': '271950.g', 'lmfdb_label': '271950.g1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -405, -4197], 'min_quad_twist_disc': -35, 'modell_images': [], 'modm_images': ['6216.2.0.?'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 5, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.52136432794967521171171720797', 'prec': 103}, 'szpiro_ratio': 4.112185734843976, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
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ec_classdata • Show schema
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{'anlist': [0, 1, -1, -1, 1, 0, 1, 0, -1, 1, 0, -4, -1, -6, 0, 0, 1, 2, -1, 1, 0], 'aplist': [-1, -1, 0, 0, -4, -6, 2, 1, 4, -8, -6, -1, 9, -2, 12, 9, -10, 12, 5, 5, -8, 0, 5, 12, 19], 'class_deg': 1, 'class_size': 1, 'conductor': 271950, 'isogeny_matrix': [[1]], 'lmfdb_iso': '271950.g', 'trace_hash': 248737081206398600}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.010071186868407156296434344739', 'prec': 107}, 'conductor': 271950, 'gens': [], 'heights': [], 'lmfdb_label': '271950.g1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.22813279713007220657418933505', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '0.91253118852028882629675734018888006234', 'prec': 133}, 'tamagawa_product': 4, 'torsion_generators': [], 'xcoord_integral_points': []}
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lmfdb_label 271950.g1 does not appear in ec_iwasawa
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ec_torsion_growth • Show schema
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id: 11611707
{'degree': 3, 'field': [-24, 16, -1, 1], 'lmfdb_label': '271950.g1', 'torsion': [2]}
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id: 11611708
{'degree': 6, 'field': [6472, 5704, 1778, 64, -31, -2, 1], 'lmfdb_label': '271950.g1', 'torsion': [2, 2]}
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id: 11611709
{'degree': 8, 'field': [526, -727, -38, 285, 15, -39, -5, -4, 1], 'lmfdb_label': '271950.g1', 'torsion': [3]}
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id: 11611710
{'degree': 12, 'field': [-4490360469, 3930805728, -491902968, -565096548, -77269877, 7338176, -1840064, -244888, 34441, -1504, -8, -4, 1], 'lmfdb_label': '271950.g1', 'torsion': [4]}
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ec_localdata • Show schema
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id: 6737811
{'conductor': 271950, 'conductor_valuation': 1, 'discriminant_valuation': 5, 'j_denominator_valuation': 5, 'kodaira_symbol': 9, 'lmfdb_label': '271950.g1', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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id: 6737812
{'conductor': 271950, 'conductor_valuation': 1, 'discriminant_valuation': 5, 'j_denominator_valuation': 5, 'kodaira_symbol': 9, 'lmfdb_label': '271950.g1', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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id: 6737813
{'conductor': 271950, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '271950.g1', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
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id: 6737814
{'conductor': 271950, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '271950.g1', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
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id: 6737815
{'conductor': 271950, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '271950.g1', 'prime': 37, '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, 6215, 0], [4441, 2, 4441, 3], [2185, 2, 2185, 3], [4145, 2, 4145, 3], [6215, 2, 6214, 3], [1, 0, 2, 1], [1, 2, 0, 1], [4663, 2, 4663, 3], [3109, 2, 3109, 3]], 'adelic_image': '6216.2.0.?', 'conductor': 271950, 'lmfdb_label': '271950.g1', 'prime': 0}
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lmfdb_iso 271950.g does not appear in ec_padic