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ec_nfcurves • Show schema
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{'Lvalue': {'__RealLiteral__': 0, 'data': '2.4191482940032560927871431515565993774', 'prec': 130}, 'abs_disc': 148, 'ainvs': '1,1,0;-1,-1,0;-1,0,1;-48760,123813,105815;13311956725,-33801572392,-28888097400', 'analytic_rank': 1, 'bad_primes': ['(w^2-w-2)', '(w^2-w-1)'], 'base_change': [], 'class_deg': 24, 'class_label': '3.3.148.1-400.2-e', 'class_size': 12, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(6*w+2)', 'conductor_label': '400.2', 'conductor_norm': 400, 'conductor_norm_factors': [2, 5], 'degree': 3, 'disc': '(-332*w^2+88*w+644)', 'equation': '{y}^2+\\left(a+1\\right){x}{y}+\\left(a^{2}-1\\right){y}={x}^{3}+\\left(-a-1\\right){x}^{2}+\\left(105815a^{2}+123813a-48760\\right){x}-28888097400a^{2}-33801572392a+13311956725', 'field_label': '3.3.148.1', 'galois_images': ['2B', '3B'], 'gens': ['[[-5388,13682,11693],[-1509260,3832297,3275225],[1,0,0]]'], 'heights': [{'__RealLiteral__': 0, 'data': '0.25915219717919645806972605639410891840', 'prec': 133}], 'iso_label': 'e', 'iso_nlabel': 4, 'isodeg': [1, 2, 3, 4, 6, 8, 12, 24], 'isogeny_matrix': [[1, 3, 6, 2, 2, 6, 4, 12, 2, 6, 4, 12], [3, 1, 2, 6, 6, 2, 12, 4, 6, 2, 12, 4], [6, 2, 1, 3, 12, 4, 24, 8, 12, 4, 24, 8], [2, 6, 3, 1, 4, 12, 8, 24, 4, 12, 8, 24], [2, 6, 12, 4, 1, 3, 8, 24, 4, 12, 8, 24], [6, 2, 4, 12, 3, 1, 24, 8, 12, 4, 24, 8], [4, 12, 24, 8, 8, 24, 1, 3, 2, 6, 4, 12], [12, 4, 8, 24, 24, 8, 3, 1, 6, 2, 12, 4], [2, 6, 12, 4, 4, 12, 2, 6, 1, 3, 2, 6], [6, 2, 4, 12, 12, 4, 6, 2, 3, 1, 6, 2], [4, 12, 24, 8, 8, 24, 4, 12, 2, 6, 1, 3], [12, 4, 8, 24, 24, 8, 12, 4, 6, 2, 3, 1]], 'jinv': '9343051795654/25,-34335804621874/25,13838352792668/25', 'label': '3.3.148.1-400.2-e7', 'local_data': [{'p': '(w^2-w-2)', 'cp': 1, 'kod': -1, 'red': 0, 'normp': 2, 'rootno': 1, 'ord_cond': 4, 'ord_disc': 8, 'ord_den_j': 0}, {'p': '(w^2-w-1)', 'cp': 4, 'kod': -6, 'red': 0, 'normp': 5, 'rootno': 1, 'ord_cond': 2, 'ord_disc': 8, 'ord_den_j': 2}], 'minD': '(332*w^2-88*w-644)', 'n_bad_primes': 2, 'ngens': 1, 'non_min_p': [], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'normdisc': -100000000, 'number': 7, 'omega': {'__RealLiteral__': 0, 'data': '37.854472540764109128190945602688732631', 'prec': 130}, 'potential_good_reduction': False, 'q_curve': False, 'rank': 1, 'rank_bounds': [1, 1], 'reducible_primes': [2, 3], 'reg': {'__RealLiteral__': 0, 'data': '0.25915219717919645806972605639410891840', 'prec': 133}, 'root_analytic_conductor': 2.950842816599124, 'semistable': False, 'sha': 1, 'short_class_label': '400.2-e', 'short_label': '400.2-e7', 'signature': [3, 0], 'tamagawa_product': 4, 'torsion_gens': ['[[-1565/4,1989/2,3399/4],[621,-6305/4,-2695/2],[1,0,0]]'], 'torsion_order': 2, 'torsion_primes': [2], 'torsion_structure': [2], 'trace_hash': 808140297329268277}