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{'Lvalue': {'__RealLiteral__': 0, 'data': '1.3235166564284357065964412379544104894', 'prec': 130}, 'abs_disc': 31, 'ainvs': '0,0;-1,0;0,0;8,0;12,4', 'analytic_rank': 0, 'bad_primes': ['(2,w)', '(2,w+1)'], 'base_change': [], 'class_deg': 10, 'class_label': '2.0.31.1-32.5-a', 'class_size': 4, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(2*w-2)', 'conductor_label': '32.5', 'conductor_norm': 32, 'conductor_norm_factors': [2], 'degree': 2, 'disc': '(-57344*a-65536)', 'equation': '{y}^2={x}^3-{x}^2+8{x}+4a+12', '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': '182505/1024,-85169/1024', 'label': '2.0.31.1-32.5-a4', 'local_data': [{'p': '(2,w)', 'cp': 2, 'kod': 14, 'red': -1, 'normp': 2, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 10, 'ord_den_j': 10}, {'p': '(2,w+1)', 'cp': 2, 'kod': -9, 'red': 0, 'normp': 2, 'rootno': -1, 'ord_cond': 4, 'ord_disc': 13, 'ord_den_j': 1}], 'minD': '(1024*w-1024)', 'n_bad_primes': 2, 'ngens': 0, 'non_min_p': ['(2,w)'], 'nonmax_primes': [2, 5], 'nonmax_rad': 10, 'normdisc': 34359738368, 'number': 4, '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': '32.5-a', 'short_label': '32.5-a4', 'signature': [0, 1], 'tamagawa_product': 4, 'torsion_gens': ['[[2,-1],[0,0],[1,0]]'], 'torsion_order': 2, 'torsion_primes': [2], 'torsion_structure': [2], 'trace_hash': 2278566297377960221}