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ec_curvedata • Show schema
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{'Ciso': '160446bo', 'Clabel': '160446bo1', 'Cnumber': 1, 'abc_quality': 1.0561026016298642, 'absD': 86063908384806093840384, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 1144, 'ainvs': [1, 1, 0, 138422, 14114646484], 'analytic_rank': 0, 'bad_primes': [2, 3, 11, 13, 17], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 160446, 'degree': 15375360, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.0796669264751925155115434016', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 1, 'isogeny_degrees': [1], 'jinv': [165568631260031, 48580832601759744], 'lmfdb_iso': '160446.b', 'lmfdb_label': '160446.b1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, 1144, -10604023], 'min_quad_twist_disc': -11, 'modell_images': [], 'modm_images': ['1144.2.0.?'], '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': '1.8807192900760072434805716126', 'prec': 100}, 'szpiro_ratio': 5.027994287633201, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
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ec_classdata • Show schema
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{'anlist': [0, 1, -1, -1, 1, -1, 1, -3, -1, 1, 1, 0, -1, -1, 3, 1, 1, -1, -1, 0, -1], 'aplist': [-1, -1, -1, -3, 0, -1, -1, 0, 1, 3, -2, -2, 9, 13, 2, 0, -3, 3, -3, 0, -1, 14, 14, -18, -8], 'class_deg': 1, 'class_size': 1, 'conductor': 160446, 'isogeny_matrix': [[1]], 'lmfdb_iso': '160446.b', 'trace_hash': 1371575818035031892}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.0021136608117799936256080970998', 'prec': 110}, 'conductor': 160446, 'gens': [], 'heights': [], 'lmfdb_label': '160446.b1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.085360684737723492978235403099', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '0.68288547790178794382588322479201182227', 'prec': 133}, 'tamagawa_product': 8, 'torsion_generators': [], 'xcoord_integral_points': []}
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lmfdb_label 160446.b1 does not appear in ec_iwasawa
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ec_torsion_growth • Show schema
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id: 7177220
{'degree': 3, 'field': [2, 6, -1, 1], 'lmfdb_label': '160446.b1', 'torsion': [2]}
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id: 7177221
{'degree': 6, 'field': [1144, 0, 289, 0, 34, 0, 1], 'lmfdb_label': '160446.b1', 'torsion': [2, 2]}
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id: 7177222
{'degree': 8, 'field': [-996178, 106405, -109816, 6821, -3407, -7, 7, -4, 1], 'lmfdb_label': '160446.b1', 'torsion': [3]}
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id: 7177223
{'degree': 12, 'field': [-531492, 1007084, 297667, 60884, 172161, 58776, 7377, 1256, -107, 56, 7, -4, 1], 'lmfdb_label': '160446.b1', 'torsion': [4]}
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ec_localdata • Show schema
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id: 3970250
{'conductor': 160446, 'conductor_valuation': 1, 'discriminant_valuation': 13, 'j_denominator_valuation': 13, 'kodaira_symbol': 17, 'lmfdb_label': '160446.b1', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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id: 3970251
{'conductor': 160446, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '160446.b1', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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id: 3970252
{'conductor': 160446, 'conductor_valuation': 2, 'discriminant_valuation': 13, 'j_denominator_valuation': 7, 'kodaira_symbol': -11, 'lmfdb_label': '160446.b1', 'prime': 11, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
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id: 3970253
{'conductor': 160446, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '160446.b1', 'prime': 13, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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id: 3970254
{'conductor': 160446, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '160446.b1', 'prime': 17, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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ec_galrep • Show schema
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{'adelic_gens': [[1143, 2, 1142, 3], [353, 2, 353, 3], [1, 0, 2, 1], [1, 2, 0, 1], [1, 1, 1143, 0], [287, 2, 0, 1], [937, 2, 937, 3], [573, 2, 573, 3]], 'adelic_image': '1144.2.0.?', 'conductor': 160446, 'lmfdb_label': '160446.b1', 'prime': 0}
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lmfdb_iso 160446.b does not appear in ec_padic