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ec_curvedata • Show schema
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{'Ciso': '463680cd', 'Clabel': '463680cd2', 'Cnumber': 2, 'abc_quality': 1.0133056317085574, 'absD': 1210966392928925122560000, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 3864, 'ainvs': [0, 0, 0, -1194533868, 15890713747792], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 23], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 463680, 'degree': 141557760, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.8055102584718443438376757271', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 55, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [986396822567235411402169, 6336721794060000], 'lmfdb_iso': '463680.cd', 'lmfdb_label': '463680.cd2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -2073844, 1149329042], 'min_quad_twist_disc': 24, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '24.24.0-6.a.1.14', '28.6.0.c.1', '84.24.0.?', '138.24.0.?', '168.48.0.?', '184.6.0.?', '552.48.0.?', '1288.12.0.?', '1932.48.0.?', '3864.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 5, 'num_int_pts': 1, 'optimality': 2, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.2164833432978715340142049265', 'prec': 100}, 'szpiro_ratio': 5.696095180718244, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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ec_classdata • Show schema
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{'anlist': [0, 1, 0, 0, 0, -1, 0, -1, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 2, 0], 'aplist': [0, 0, -1, -1, 0, 4, 0, 2, 1, 6, -2, 10, -6, -4, 6, -6, -12, 10, -4, 0, 14, -8, -6, 0, 8], 'class_deg': 6, 'class_size': 4, 'conductor': 463680, 'isogeny_matrix': [[1, 3, 6, 2], [3, 1, 2, 6], [6, 2, 1, 3], [2, 6, 3, 1]], 'lmfdb_iso': '463680.cd', 'trace_hash': 6187395674198177}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.00049496647896874895831321555205', 'prec': 113}, 'conductor': 463680, 'gens': [], 'heights': [], 'lmfdb_label': '463680.cd2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.077096679551993275870710411025', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.8503203092478386208970498645976932245', 'prec': 130}, 'tamagawa_product': 96, 'torsion_generators': [[19916, 0, 1]], 'xcoord_integral_points': [19916]}
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lmfdb_label 463680.cd2 does not appear in ec_iwasawa
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lmfdb_label 463680.cd2 does not appear in ec_torsion_growth
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ec_localdata • Show schema
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id: 11434090
{'conductor': 463680, 'conductor_valuation': 6, 'discriminant_valuation': 23, 'j_denominator_valuation': 5, 'kodaira_symbol': -17, 'lmfdb_label': '463680.cd2', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
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id: 11434091
{'conductor': 463680, 'conductor_valuation': 2, 'discriminant_valuation': 18, 'j_denominator_valuation': 12, 'kodaira_symbol': -16, 'lmfdb_label': '463680.cd2', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
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id: 11434092
{'conductor': 463680, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '463680.cd2', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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id: 11434093
{'conductor': 463680, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '463680.cd2', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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id: 11434094
{'conductor': 463680, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '463680.cd2', 'prime': 23, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 3}
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ec_galrep • Show schema
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id: 4512873
{'adelic_gens': [[3702, 3047, 1771, 1126], [1, 0, 12, 1], [2761, 12, 1110, 73], [1522, 3, 141, 3856], [11, 2, 3814, 3855], [1, 6, 6, 37], [3854, 3861, 1959, 8], [1, 12, 0, 1], [1279, 3862, 3162, 3851], [3853, 12, 3852, 13]], 'adelic_image': '3864.96.1.?', 'conductor': 463680, 'lmfdb_label': '463680.cd2', 'prime': 0}
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id: 1544112
{'conductor': 463680, 'elladic_image': '2.3.0.1', 'lmfdb_label': '463680.cd2', 'modell_image': '2B', 'prime': 2}
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id: 1544113
{'conductor': 463680, 'elladic_image': '3.4.0.1', 'lmfdb_label': '463680.cd2', 'modell_image': '3B', 'prime': 3}
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lmfdb_iso 463680.cd does not appear in ec_padic