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ec_curvedata • Show schema
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{'Ciso': '16731f', 'Clabel': '16731f1', 'Cnumber': 1, 'abc_quality': 1.0878174093384134, 'absD': 328329712102727907, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 6, 'ainvs': [0, 0, 1, 171366, 3805753], 'analytic_rank': 0, 'bad_primes': [3, 11, 13], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 16731, 'degree': 134784, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.0504338456118757528339567665', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 8, 'isogeny_degrees': [1], 'jinv': [5537792, 3267], 'lmfdb_iso': '16731.i', 'lmfdb_label': '16731.i1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 1, 113, -102], 'min_quad_twist_disc': -39, 'modell_images': [], 'modm_images': ['6.2.0.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': '-0.63633009660679303957490538660', 'prec': 107}, 'szpiro_ratio': 4.911895376897211, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
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ec_classdata • Show schema
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{'anlist': [0, 1, 0, 0, -2, 2, 0, -1, 0, 0, 0, -1, 0, 0, 0, 0, 4, -2, 0, 4, -4], 'aplist': [0, 0, 2, -1, -1, 0, -2, 4, -4, 8, 3, -10, -8, -7, 8, 10, 8, 13, -11, -6, 13, -7, -6, 8, 7], 'class_deg': 1, 'class_size': 1, 'conductor': 16731, 'isogeny_matrix': [[1]], 'lmfdb_iso': '16731.i', 'trace_hash': 2161436088385916761}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.016558301673641745135475240331', 'prec': 107}, 'conductor': 16731, 'gens': [], 'heights': [], 'lmfdb_label': '16731.i1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.18533802973945743992079641124', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.4827042379156595193663712898988209812', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [], 'xcoord_integral_points': []}
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ec_iwasawa • Show schema
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{'iwdata': {'2': [2, 9, 0], '3': 'a', '5': [0, 0], '7': [0, 0], '11': [0, 0], '13': 'a', '17': [0, 0], '19': [0, 0], '23': [0, 0], '29': [0, 0], '31': [0, 0], '37': [0, 0], '41': [0, 0], '43': [0, 0], '47': [0, 0]}, 'iwp0': 0, 'lmfdb_label': '16731.i1'}
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ec_torsion_growth • Show schema
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id: 857138
{'degree': 3, 'field': [-26, 0, 0, 1], 'lmfdb_label': '16731.i1', 'torsion': [2]}
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id: 857139
{'degree': 6, 'field': [27, 0, -17, 0, 1, 0, 1], 'lmfdb_label': '16731.i1', 'torsion': [2, 2]}
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id: 857140
{'degree': 8, 'field': [198, -1197, 2206, -357, -105, -101, 9, 0, 1], 'lmfdb_label': '16731.i1', 'torsion': [3]}
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id: 857141
{'degree': 12, 'field': [12440, -10832, 26256, -30584, -17652, -528, 440, -776, -318, -12, 16, -6, 1], 'lmfdb_label': '16731.i1', 'torsion': [4]}
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ec_localdata • Show schema
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id: 372259
{'conductor': 16731, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 3, 'kodaira_symbol': -7, 'lmfdb_label': '16731.i1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
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id: 372260
{'conductor': 16731, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '16731.i1', 'prime': 11, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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id: 372261
{'conductor': 16731, 'conductor_valuation': 2, 'discriminant_valuation': 10, 'j_denominator_valuation': 0, 'kodaira_symbol': -2, 'lmfdb_label': '16731.i1', 'prime': 13, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
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ec_galrep • Show schema
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{'adelic_gens': [[5, 2, 5, 3], [1, 1, 5, 0], [1, 2, 0, 1], [5, 2, 4, 3], [1, 0, 2, 1]], 'adelic_image': '6.2.0.?', 'conductor': 16731, 'lmfdb_label': '16731.i1', 'prime': 0}
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lmfdb_iso 16731.i does not appear in ec_padic
