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ec_curvedata • Show schema
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{'Ciso': '476850m', 'Clabel': '476850m1', 'Cnumber': 1, 'abc_quality': 0.9847459482402002, 'absD': 7090390926277936323750, 'adelic_genus': 0, 'adelic_index': 16, 'adelic_level': 408, 'ainvs': [1, 1, 0, -1315100, 4092115950], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 11, 17], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 476850, 'degree': 39564288, 'elladic_images': ['3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.8732491391659848162636422424', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 12, 'isogeny_degrees': [1, 3], 'jinv': [-16673509288825, 469998676422], 'lmfdb_iso': '476850.m', 'lmfdb_label': '476850.m1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -4551, 832648], 'min_quad_twist_disc': 17, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '24.8.0-3.a.1.5', '51.8.0-3.a.1.2', '408.16.0.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, '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': '0.92016316299317665127195515572', 'prec': 103}, 'szpiro_ratio': 4.419752068418902, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
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ec_classdata • Show schema
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{'anlist': [0, 1, -1, -1, 1, 0, 1, -2, -1, 1, 0, -1, -1, -4, 2, 0, 1, 0, -1, 8, 0], 'aplist': [-1, -1, 0, -2, -1, -4, 0, 8, -3, -6, -8, 7, -3, 2, 6, 3, 15, -11, 2, 9, -2, -8, 9, -12, 10], 'class_deg': 3, 'class_size': 2, 'conductor': 476850, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '476850.m', 'trace_hash': 27760487240139024}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.0031939455455025680168181287332', 'prec': 110}, 'conductor': 476850, 'gens': [], 'heights': [], 'lmfdb_label': '476850.m1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.11090752626414304581188558938', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '0.88726021011314436649508471505894824221', 'prec': 133}, 'tamagawa_product': 8, 'torsion_generators': [], 'xcoord_integral_points': []}
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lmfdb_label 476850.m1 does not appear in ec_iwasawa
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lmfdb_label 476850.m1 does not appear in ec_torsion_growth
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ec_localdata • Show schema
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id: 11754610
{'conductor': 476850, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '476850.m1', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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id: 11754611
{'conductor': 476850, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '476850.m1', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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id: 11754612
{'conductor': 476850, 'conductor_valuation': 2, 'discriminant_valuation': 4, 'j_denominator_valuation': 0, 'kodaira_symbol': 4, 'lmfdb_label': '476850.m1', 'prime': 5, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
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id: 11754613
{'conductor': 476850, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '476850.m1', 'prime': 11, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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id: 11754614
{'conductor': 476850, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 3, 'kodaira_symbol': -7, 'lmfdb_label': '476850.m1', 'prime': 17, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
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ec_galrep • Show schema
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id: 4589690
{'adelic_gens': [[4, 3, 9, 7], [103, 6, 0, 1], [403, 6, 402, 7], [167, 402, 93, 389], [222, 193, 139, 342], [1, 6, 0, 1], [205, 6, 207, 19], [3, 4, 8, 11], [1, 0, 6, 1]], 'adelic_image': '408.16.0.?', 'conductor': 476850, 'lmfdb_label': '476850.m1', 'prime': 0}
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id: 1582549
{'conductor': 476850, 'elladic_image': '3.4.0.1', 'lmfdb_label': '476850.m1', 'modell_image': '3B', 'prime': 3}
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lmfdb_iso 476850.m does not appear in ec_padic