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ec_curvedata • Show schema
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{'Ciso': '9464d', 'Clabel': '9464d2', 'Cnumber': 2, 'abc_quality': 1.0653400939100561, 'absD': 242189968384, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 728, 'ainvs': [0, 0, 0, -3211, 65910], 'analytic_rank': 0, 'bad_primes': [2, 7, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 9464, 'degree': 9216, 'elladic_images': ['8.12.0.3'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.93386826165220822497158412306', 'prec': 103}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 2, 'isogeny_degrees': [1, 2], 'jinv': [740772, 49], 'lmfdb_iso': '9464.c', 'lmfdb_label': '9464.c3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, -19, 30], 'min_quad_twist_disc': 13, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '8.12.0.a.1', '28.12.0.b.1', '52.12.0-2.a.1.1', '56.24.0.d.1', '104.24.0.?', '364.24.0.?', '728.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.92622906754518123423618636561', 'prec': 107}, 'szpiro_ratio': 3.9143239700843244, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
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ec_classdata • Show schema
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{'anlist': [0, 1, 0, 0, 0, -2, 0, 1, 0, -3, 0, 4, 0, 0, 0, 0, 0, -6, 0, -8, 0], 'aplist': [0, 0, -2, 1, 4, 0, -6, -8, 0, 6, -8, 2, -2, -4, 8, 6, 0, -6, 4, 8, -10, 16, -8, 6, 6], 'class_deg': 4, 'class_size': 4, 'conductor': 9464, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '9464.c', 'trace_hash': 637498704590665298}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.15447291224287971581652403407', 'prec': 103}, 'conductor': 9464, 'gens': [], 'heights': [], 'lmfdb_label': '9464.c3', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.97022424297742702342714941847', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '0.97022424297742702342714941846823606317', 'prec': 133}, 'tamagawa_product': 16, 'torsion_generators': [[26, 0, 1], [39, 0, 1]], 'xcoord_integral_points': [-65, 26, 39]}
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ec_iwasawa • Show schema
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{'iwdata': {'2': 'a', '7': [1, 0], '13': 'a'}, 'iwp0': 3, 'lmfdb_label': '9464.c3'}
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ec_torsion_growth • Show schema
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id: 493647
{'degree': 4, 'field': [-1, 10, -9, -2, 1], 'lmfdb_label': '9464.c3', 'torsion': [2, 4]}
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id: 493646
{'degree': 4, 'field': [100, 0, 6, 0, 1], 'lmfdb_label': '9464.c3', 'torsion': [2, 4]}
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id: 493645
{'degree': 4, 'field': [134, -30, 31, -2, 1], 'lmfdb_label': '9464.c3', 'torsion': [2, 4]}
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id: 493648
{'degree': 8, 'field': [-2051, -1858, -1184, -250, -116, -16, 4, -4, 1], 'lmfdb_label': '9464.c3', 'torsion': [2, 6]}
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id: 493652
{'degree': 16, 'field': [6561, 0, -20412, 0, 21708, 0, -14616, 0, 6559, 0, -1624, 0, 268, 0, -28, 0, 1], 'lmfdb_label': '9464.c3', 'torsion': [2, 8]}
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id: 493649
{'degree': 16, 'field': [22689, 65676, 40090, 21360, 65776, 25992, 13478, 11064, 7133, 504, 2186, -96, 332, -12, 28, 0, 1], 'lmfdb_label': '9464.c3', 'torsion': [4, 4]}
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id: 493650
{'degree': 16, 'field': [176992, -125888, 192790, -173102, 196533, -166382, 117614, -63526, 30146, -11882, 4968, -1710, 558, -154, 42, -8, 1], 'lmfdb_label': '9464.c3', 'torsion': [2, 8]}
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id: 493651
{'degree': 16, 'field': [150928297, 117109720, 77638024, 28794528, 13484880, 3938312, 1749360, 378560, 134378, 14616, 10152, 672, 496, -56, 16, 0, 1], 'lmfdb_label': '9464.c3', 'torsion': [2, 8]}
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ec_localdata • Show schema
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id: 199674
{'conductor': 9464, 'conductor_valuation': 3, 'discriminant_valuation': 10, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '9464.c3', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
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id: 199675
{'conductor': 9464, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '9464.c3', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
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id: 199676
{'conductor': 9464, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '9464.c3', 'prime': 13, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
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ec_galrep • Show schema
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id: 1726691
{'adelic_gens': [[1, 0, 4, 1], [365, 338, 0, 1], [725, 4, 724, 5], [1, 4, 0, 1], [183, 676, 0, 1], [167, 0, 0, 727], [521, 676, 650, 625]], 'adelic_image': '728.48.0.?', 'conductor': 9464, 'lmfdb_label': '9464.c3', 'prime': 0}
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id: 45996
{'conductor': 9464, 'elladic_image': '8.12.0.3', 'lmfdb_label': '9464.c3', 'modell_image': '2Cs', 'prime': 2}
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lmfdb_iso 9464.c does not appear in ec_padic