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{'Lvalue': {'__RealLiteral__': 0, 'data': '0.705864781284238', 'prec': 57}, 'abs_disc': 1125, 'ainvs': '-2,-3,1,1;-3,-3,1,1;0,0,0,0;6,55,-20,-20;58,241,-85,-92', 'analytic_rank': 0, 'bad_primes': ['(2*w^3-8*w+1)'], 'base_change': [], 'class_deg': 8, 'class_label': '4.4.1125.1-31.4-b', 'class_size': 6, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(2*w^3-8*w+1)', 'conductor_label': '31.4', 'conductor_norm': 31, 'conductor_norm_factors': [31], 'degree': 4, 'disc': '(-336*w^3-81*w^2+1286*w+983)', 'equation': '{y}^2+\\left(a^{3}+a^{2}-3a-2\\right){x}{y}={x}^{3}+\\left(a^{3}+a^{2}-3a-3\\right){x}^{2}+\\left(-20a^{3}-20a^{2}+55a+6\\right){x}-92a^{3}-85a^{2}+241a+58', 'field_label': '4.4.1125.1', 'galois_images': ['2Cs'], 'gens': [], 'heights': [], 'iso_label': 'b', 'iso_nlabel': 1, 'isodeg': [1, 2, 4], 'isogeny_matrix': [[1, 2, 4, 4, 8, 8], [2, 1, 2, 2, 4, 4], [4, 2, 1, 4, 8, 8], [4, 2, 4, 1, 2, 2], [8, 4, 8, 2, 1, 4], [8, 4, 8, 2, 4, 1]], 'jinv': '-34852964110250777095970/852891037441,-158487521534002991503115/852891037441,52668771245192606365444/852891037441,63679535248100158844676/852891037441', 'label': '4.4.1125.1-31.4-b4', 'local_data': [{'p': '(2*w^3-8*w+1)', 'cp': 2, 'kod': 12, 'red': -1, 'normp': 31, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 8, 'ord_den_j': 8}], 'minD': '(-336*w^3-81*w^2+1286*w+983)', 'n_bad_primes': 1, 'ngens': 0, 'non_min_p': [], 'nonmax_primes': [2], 'nonmax_rad': 2, 'normdisc': 852891037441, 'number': 4, 'omega': {'__RealLiteral__': 0, 'data': '47.350849016237351079574241255528789454', 'prec': 130}, 'potential_good_reduction': False, 'q_curve': False, 'rank': 0, 'rank_bounds': [0, 0], 'reducible_primes': [2], 'reg': 1, 'root_analytic_conductor': 4.603996941607043, 'semistable': True, 'sha': 4, 'short_class_label': '31.4-b', 'short_label': '31.4-b4', 'signature': [4, 0], 'tamagawa_product': 2, 'torsion_gens': ['[[2,-6,2,2],[4,8,-3,-3],[1,0,0,0]]', '[[-3/2,11/4,-1,-1],[-21/8,-11/2,15/8,2],[1,0,0,0]]'], 'torsion_order': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2], 'trace_hash': 1168144009904954139}