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ec_curvedata • Show schema
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{'Ciso': '372810c', 'Clabel': '372810c2', 'Cnumber': 2, 'abc_quality': 1.0968558773124242, 'absD': 229942217812500000000000, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 136, 'ainvs': [1, 1, 0, -344577298, 2461691961652], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 17, 43], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 372810, 'degree': 90832896, 'elladic_images': ['8.6.0.2'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.5527771781000904583595804967', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 2, 'isogeny_degrees': [1, 2], 'jinv': [920951868692595924370239353, 46802812500000000000], 'lmfdb_iso': '372810.c', 'lmfdb_label': '372810.c1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -344577298, 2461691961652], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '8.6.0.f.1', '68.6.0.c.1', '136.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 4, 'sha_primes': [2], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.8444738420860364382971968422', 'prec': 100}, 'szpiro_ratio': 5.50222600439397, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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ec_classdata • Show schema
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{'anlist': [0, 1, -1, -1, 1, -1, 1, -2, -1, 1, 1, 4, -1, 2, 2, 1, 1, 0, -1, 0, -1], 'aplist': [-1, -1, -1, -2, 4, 2, 0, 0, 2, 10, -2, 6, 0, 1, 0, -2, 8, -2, -16, 10, 4, -2, 8, -6, 12], 'class_deg': 2, 'class_size': 2, 'conductor': 372810, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '372810.c', 'trace_hash': 1929861814640676419}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.00082053470069121635881609750473', 'prec': 113}, 'conductor': 372810, 'gens': [], 'heights': [], 'lmfdb_label': '372810.c1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.093665084670921327453417256278', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '4.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.4986413547347412392546761004487169601', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[43099, -43099, 2]], 'xcoord_integral_points': []}
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lmfdb_label 372810.c1 does not appear in ec_iwasawa
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ec_torsion_growth • Show schema
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id: 15469263
{'degree': 2, 'field': [-34, 0, 1], 'lmfdb_label': '372810.c1', 'torsion': [2, 2]}
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id: 15469264
{'degree': 4, 'field': [34, 0, -17, 0, 1], 'lmfdb_label': '372810.c1', 'torsion': [4]}
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id: 15469267
{'degree': 8, 'field': [-679728, 0, -116756, 0, 2856, 0, 0, 0, 1], 'lmfdb_label': '372810.c1', 'torsion': [6]}
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id: 15469265
{'degree': 8, 'field': [169, 0, -410, 0, 194, 0, -26, 0, 1], 'lmfdb_label': '372810.c1', 'torsion': [2, 4]}
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id: 15469266
{'degree': 8, 'field': [3076920900, 0, -24170128, 0, 170108, 0, -344, 0, 1], 'lmfdb_label': '372810.c1', 'torsion': [2, 4]}
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id: 15469268
{'degree': 16, 'field': [-748623794, 936801786, -246968965, -36052750, 23134797, -15010494, 2549319, 482042, 125421, 26094, -19439, 4758, 1271, 86, -83, -2, 1], 'lmfdb_label': '372810.c1', 'torsion': [8]}
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id: 15469269
{'degree': 16, 'field': [28459322833984, 0, -2166970212512, 0, 178478788420, 0, -5283077256, 0, -17966940, 0, -501804, 0, -3740, 0, -248, 0, 1], 'lmfdb_label': '372810.c1', 'torsion': [2, 6]}
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ec_localdata • Show schema
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id: 9225509
{'conductor': 372810, 'conductor_valuation': 1, 'discriminant_valuation': 11, 'j_denominator_valuation': 11, 'kodaira_symbol': 15, 'lmfdb_label': '372810.c1', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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id: 9225510
{'conductor': 372810, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '372810.c1', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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id: 9225511
{'conductor': 372810, 'conductor_valuation': 1, 'discriminant_valuation': 16, 'j_denominator_valuation': 16, 'kodaira_symbol': 20, 'lmfdb_label': '372810.c1', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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id: 9225512
{'conductor': 372810, 'conductor_valuation': 2, 'discriminant_valuation': 3, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '372810.c1', 'prime': 17, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
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id: 9225513
{'conductor': 372810, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '372810.c1', 'prime': 43, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
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ec_galrep • Show schema
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id: 3984132
{'adelic_gens': [[1, 2, 2, 5], [3, 4, 8, 11], [133, 4, 132, 5], [121, 18, 16, 119], [2, 1, 67, 0], [12, 1, 31, 0], [1, 4, 0, 1], [1, 0, 4, 1]], 'adelic_image': '136.12.0.?', 'conductor': 372810, 'lmfdb_label': '372810.c1', 'prime': 0}
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id: 1278915
{'conductor': 372810, 'elladic_image': '8.6.0.2', 'lmfdb_label': '372810.c1', 'modell_image': '2B', 'prime': 2}
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lmfdb_iso 372810.c does not appear in ec_padic