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ec_curvedata • Show schema
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{'Ciso': '211600cu', 'Clabel': '211600cu1', 'Cnumber': 1, 'abc_quality': 0.9157181276052218, 'absD': 13300099402343750000, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 46, 'ainvs': [0, 0, 0, -2473075, 1507187125], 'analytic_rank': 0, 'bad_primes': [2, 5, 23], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 211600, 'degree': 7299072, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.4977336680999050322904171601', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 4, 'isogeny_degrees': [1], 'jinv': [-45198971136, 359375], 'lmfdb_iso': '211600.e', 'lmfdb_label': '211600.e1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, -187, 991], 'min_quad_twist_disc': 460, 'modell_images': [], 'modm_images': ['46.2.0.a.1'], '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': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.10578145626836843688574962957', 'prec': 107}, 'szpiro_ratio': 4.549674316561634, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
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ec_classdata • Show schema
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{'anlist': [0, 1, 0, -3, 0, 0, 0, 2, 0, 6, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0], 'aplist': [0, -3, 0, 2, 0, -1, 0, 0, 0, -3, -3, -8, 3, 2, -11, -14, 8, 4, 4, -7, 9, 0, -4, 2, 18], 'class_deg': 1, 'class_size': 1, 'conductor': 211600, 'isogeny_matrix': [[1]], 'lmfdb_iso': '211600.e', 'trace_hash': 1294533773487373096}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.0067685571679306945630929121957', 'prec': 110}, 'conductor': 211600, 'gens': [], 'heights': [], 'lmfdb_label': '211600.e1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.22499455510315646536929817000', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '0.89997822041262586147719267998606815519', 'prec': 133}, 'tamagawa_product': 4, 'torsion_generators': [], 'xcoord_integral_points': []}
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lmfdb_label 211600.e1 does not appear in ec_iwasawa
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ec_torsion_growth • Show schema
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id: 9242964
{'degree': 3, 'field': [1, 0, -1, 1], 'lmfdb_label': '211600.e1', 'torsion': [2]}
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id: 9242965
{'degree': 6, 'field': [1, -3, 5, -5, 5, -3, 1], 'lmfdb_label': '211600.e1', 'torsion': [2, 2]}
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id: 9242966
{'degree': 8, 'field': [-594801, -15786, -54072, -5184, -2580, -342, -6, 0, 1], 'lmfdb_label': '211600.e1', 'torsion': [3]}
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id: 9242967
{'degree': 12, 'field': [12265, -7970, -4464, 2310, -2842, -14, 420, -488, 245, -86, 28, -4, 1], 'lmfdb_label': '211600.e1', 'torsion': [4]}
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ec_localdata • Show schema
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id: 5244212
{'conductor': 211600, 'conductor_valuation': 4, 'discriminant_valuation': 4, 'j_denominator_valuation': 0, 'kodaira_symbol': 2, 'lmfdb_label': '211600.e1', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
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id: 5244213
{'conductor': 211600, 'conductor_valuation': 2, 'discriminant_valuation': 12, 'j_denominator_valuation': 6, 'kodaira_symbol': -10, 'lmfdb_label': '211600.e1', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
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id: 5244214
{'conductor': 211600, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '211600.e1', 'prime': 23, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
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ec_galrep • Show schema
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{'adelic_gens': [[5, 2, 5, 3], [1, 1, 45, 0], [1, 2, 0, 1], [45, 2, 44, 3], [1, 0, 2, 1]], 'adelic_image': '46.2.0.?', 'conductor': 211600, 'lmfdb_label': '211600.e1', 'prime': 0}
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lmfdb_iso 211600.e does not appear in ec_padic