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ec_curvedata • Show schema
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{'Ciso': '158950ct', 'Clabel': '158950ct1', 'Cnumber': 1, 'abc_quality': 0.9443840180226643, 'absD': 414864467187500000, 'adelic_genus': 1, 'adelic_index': 48, 'adelic_level': 7480, 'ainvs': [1, 1, 0, 72100, -30050000], 'analytic_rank': 1, 'bad_primes': [2, 5, 11, 17], 'class_deg': 5, 'class_size': 2, 'cm': 0, 'conductor': 158950, 'degree': 2112000, 'elladic_images': ['5.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.0616822527909295303130545994', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 17, 'isogeny_degrees': [1, 5], 'jinv': [109902239, 1100000], 'lmfdb_iso': '158950.r', 'lmfdb_label': '158950.r2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, 10, -45], 'min_quad_twist_disc': 85, 'modell_images': ['5B.4.1'], 'modm_images': ['5.12.0.a.1', '85.24.0.?', '440.24.1.?', '7480.48.1.?'], 'nonmax_primes': [5], 'nonmax_rad': 5, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '8.2445445375174992395538574202', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.15964337545422869711209237615', 'prec': 107}, 'szpiro_ratio': 4.004718513642662, '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, 3, -1, -2, 0, -1, -1, 6, -3, 0, 1, 0, 2, 5, 0], 'aplist': [-1, -1, 0, 3, -1, 6, 0, 5, -6, -5, 3, 3, -2, -4, 2, 1, -10, -7, -8, -7, 14, -10, 6, -15, -12], 'class_deg': 5, 'class_size': 2, 'conductor': 158950, 'isogeny_matrix': [[1, 5], [5, 1]], 'lmfdb_iso': '158950.r', 'trace_hash': 282982526976082499}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.016189951522529364992622159237', 'prec': 107}, 'conductor': 158950, 'gens': [[140635, 52538735, 3]], 'heights': [{'__RealLiteral__': 0, 'data': '8.2445445375174992395538574202', 'prec': 100}], 'lmfdb_label': '158950.r2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.14746301414440222194341419304', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.8630615510003882629451395157071490004', 'prec': 130}, 'tamagawa_product': 4, 'torsion_generators': [], 'xcoord_integral_points': []}
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lmfdb_label 158950.r2 does not appear in ec_iwasawa
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ec_torsion_growth • Show schema
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id: 7114550
{'degree': 2, 'field': [-21, -1, 1], 'lmfdb_label': '158950.r2', 'torsion': [5]}
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id: 7114551
{'degree': 3, 'field': [-8, 2, 0, 1], 'lmfdb_label': '158950.r2', 'torsion': [2]}
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id: 7114553
{'degree': 6, 'field': [-349, -523, -142, 19, -42, -3, 1], 'lmfdb_label': '158950.r2', 'torsion': [10]}
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id: 7114552
{'degree': 6, 'field': [16, -32, 118, 16, -7, -2, 1], 'lmfdb_label': '158950.r2', 'torsion': [2, 2]}
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id: 7114554
{'degree': 8, 'field': [-46360, 35915, -14680, 2405, 305, -415, 1, -2, 1], 'lmfdb_label': '158950.r2', 'torsion': [3]}
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id: 7114555
{'degree': 12, 'field': [-993134150, -93514650, -86143815, -3704520, 16862065, -1392190, -381369, 39556, 3697, -438, -13, -4, 1], 'lmfdb_label': '158950.r2', 'torsion': [4]}
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id: 7114556
{'degree': 12, 'field': [27185, -177930, 476889, -587786, 271306, 19510, 5897, -10118, 1898, 410, -71, -6, 1], 'lmfdb_label': '158950.r2', 'torsion': [2, 10]}
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id: 7114557
{'degree': 16, 'field': [561323740, -2067035870, 2628370605, -1162768860, 681390360, -119239320, 38200471, 1858672, -1133715, 449280, -93057, 1668, -187, -70, 30, -8, 1], 'lmfdb_label': '158950.r2', 'torsion': [15]}
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id: 7114558
{'degree': 20, 'field': [1061319920, -3871528520, 4296606240, -1541720220, 2865277951, -639638682, 934426020, -165767115, 203663055, -24457386, 30103957, -2358640, 2893205, -167105, 175032, -8359, 6360, -245, 125, -3, 1], 'lmfdb_label': '158950.r2', 'torsion': [5]}
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ec_localdata • Show schema
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id: 3932466
{'conductor': 158950, 'conductor_valuation': 1, 'discriminant_valuation': 5, 'j_denominator_valuation': 5, 'kodaira_symbol': 9, 'lmfdb_label': '158950.r2', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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id: 3932467
{'conductor': 158950, 'conductor_valuation': 2, 'discriminant_valuation': 11, 'j_denominator_valuation': 5, 'kodaira_symbol': -9, 'lmfdb_label': '158950.r2', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
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id: 3932468
{'conductor': 158950, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '158950.r2', 'prime': 11, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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id: 3932469
{'conductor': 158950, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '158950.r2', 'prime': 17, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
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ec_galrep • Show schema
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id: 2692613
{'adelic_gens': [[439, 0, 0, 7479], [6374, 765, 6715, 3348], [6, 13, 7425, 7361], [1, 0, 10, 1], [2806, 4845, 595, 2636], [1871, 2210, 0, 1], [7471, 10, 7470, 11], [1, 10, 0, 1], [4846, 4845, 6375, 2636]], 'adelic_image': '7480.48.1.?', 'conductor': 158950, 'lmfdb_label': '158950.r2', 'prime': 0}
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id: 606038
{'conductor': 158950, 'elladic_image': '5.12.0.1', 'lmfdb_label': '158950.r2', 'modell_image': '5B.4.1', 'prime': 5}
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lmfdb_iso 158950.r does not appear in ec_padic