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{'Lvalue': {'__RealLiteral__': 0, 'data': '1.3235166564284357065964412379544104894', 'prec': 130}, 'abs_disc': 31, 'ainvs': '0,1;1,-1;0,1;8,-2;4,0', 'analytic_rank': 0, 'bad_primes': ['(2,w)', '(2,w+1)'], 'base_change': [], 'class_deg': 10, 'class_label': '2.0.31.1-32.2-a', 'class_size': 4, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(2*w)', 'conductor_label': '32.2', 'conductor_norm': 32, 'conductor_norm_factors': [2], 'degree': 2, 'disc': '(-224*a-256)', 'equation': '{y}^2+a{x}{y}+a{y}={x}^3+\\left(-a+1\\right){x}^2+\\left(-2a+8\\right){x}+4', 'field_label': '2.0.31.1', 'galois_images': ['2B', '5B'], 'gens': [], 'heights': [], 'iso_label': 'a', 'iso_nlabel': 0, 'isodeg': [1, 2, 5, 10], 'isogeny_matrix': [[1, 10, 2, 5], [10, 1, 5, 2], [2, 5, 1, 10], [5, 2, 10, 1]], 'jinv': '-48120,514073/32', 'label': '2.0.31.1-32.2-a1', 'local_data': [{'p': '(2,w)', 'cp': 4, 'kod': -10, 'red': 0, 'normp': 2, 'rootno': -1, 'ord_cond': 4, 'ord_disc': 14, 'ord_den_j': 2}, {'p': '(2,w+1)', 'cp': 1, 'kod': 9, 'red': -1, 'normp': 2, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 5, 'ord_den_j': 5}], 'minD': '(-224*w-256)', 'n_bad_primes': 2, 'ngens': 0, 'non_min_p': [], 'nonmax_primes': [2, 5], 'nonmax_rad': 10, 'normdisc': 524288, 'number': 1, 'omega': {'__RealLiteral__': 0, 'data': '3.6845144366370951848609099777180877933', 'prec': 130}, 'potential_good_reduction': False, 'q_curve': True, 'rank': 0, 'rank_bounds': [0, 0], 'reducible_primes': [2, 5], 'reg': 1, 'root_analytic_conductor': 1.1833327793114838, 'semistable': False, 'sha': 1, 'short_class_label': '32.2-a', 'short_label': '32.2-a1', 'signature': [0, 1], 'tamagawa_product': 4, 'torsion_gens': ['[[0,-1/4],[-1,-3/8],[1,0]]'], 'torsion_order': 2, 'torsion_primes': [2], 'torsion_structure': [2], 'trace_hash': 2278566297377960221}