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ec_curvedata • Show schema
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{'Ciso': '416955bf', 'Clabel': '416955bf1', 'Cnumber': 1, 'abc_quality': 0.985852383093085, 'absD': 618943696446796875, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 2310, 'ainvs': [0, -1, 1, 196625, -17574219], 'analytic_rank': 1, 'bad_primes': [3, 5, 7, 11, 19], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 416955, 'degree': 5630688, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.1021760691619955880072114791', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 31, 'isogeny_degrees': [1], 'jinv': [17869652393984, 13156171875], 'lmfdb_iso': '416955.bf', 'lmfdb_label': '416955.bf1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 1, 545, 2734], 'min_quad_twist_disc': -19, 'modell_images': [], 'modm_images': ['2310.2.0.?'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 5, 'num_int_pts': 2, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '5.1172330979632093180034975589', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.62995657957877535800269776316', 'prec': 103}, 'szpiro_ratio': 3.7231860593779014, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
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ec_classdata • Show schema
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{'anlist': [0, 1, 0, -1, -2, 1, 0, -1, 0, 1, 0, -1, 2, 4, 0, -1, 4, -5, 0, 0, -2], 'aplist': [0, -1, 1, -1, -1, 4, -5, 0, -5, -3, 6, 12, 2, 13, -6, -1, 11, 5, 10, 6, -4, 8, 5, -13, 19], 'class_deg': 1, 'class_size': 1, 'conductor': 416955, 'isogeny_matrix': [[1]], 'lmfdb_iso': '416955.bf', 'trace_hash': 2166161914911670350}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.014930455806525857306488835638', 'prec': 107}, 'conductor': 416955, 'gens': [[1425, 56162, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '5.1172330979632093180034975589', 'prec': 100}], 'lmfdb_label': '416955.bf1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.16205357460172128348452753722', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '5.8048614091662478066194767031117525580', 'prec': 130}, 'tamagawa_product': 7, 'torsion_generators': [], 'xcoord_integral_points': [1425]}
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lmfdb_label 416955.bf1 does not appear in ec_iwasawa
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lmfdb_label 416955.bf1 does not appear in ec_torsion_growth
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ec_localdata • Show schema
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id: 10301670
{'conductor': 416955, 'conductor_valuation': 1, 'discriminant_valuation': 7, 'j_denominator_valuation': 7, 'kodaira_symbol': 11, 'lmfdb_label': '416955.bf1', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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id: 10301671
{'conductor': 416955, 'conductor_valuation': 1, 'discriminant_valuation': 7, 'j_denominator_valuation': 7, 'kodaira_symbol': 11, 'lmfdb_label': '416955.bf1', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 7}
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id: 10301672
{'conductor': 416955, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '416955.bf1', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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id: 10301673
{'conductor': 416955, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '416955.bf1', 'prime': 11, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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id: 10301674
{'conductor': 416955, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '416955.bf1', 'prime': 19, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
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ec_galrep • Show schema
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{'adelic_gens': [[1541, 2, 1541, 3], [211, 2, 211, 3], [661, 2, 661, 3], [1387, 2, 1387, 3], [1, 0, 2, 1], [1, 2, 0, 1], [2309, 2, 2308, 3], [1, 1, 2309, 0]], 'adelic_image': '2310.2.0.?', 'conductor': 416955, 'lmfdb_label': '416955.bf1', 'prime': 0}
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lmfdb_iso 416955.bf does not appear in ec_padic