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{'Lvalue': {'__RealLiteral__': 0, 'data': '1.5167435435953106738653716364463458336', 'prec': 130}, 'abs_disc': 40, 'ainvs': '0,1;-1,-1;1,1;7,1;2,-1', 'analytic_rank': 0, 'bad_primes': ['(7,w+2)'], 'base_change': [], 'class_deg': 2, 'class_label': '2.0.40.1-49.1-a', 'class_size': 2, 'cm': -8, 'cm_type': -1, 'conductor_ideal': '(2*w-3)', 'conductor_label': '49.1', 'conductor_norm': 49, 'conductor_norm_factors': [7], 'degree': 2, 'disc': '(-26*a+333)', 'equation': '{y}^2+a{x}{y}+\\left(a+1\\right){y}={x}^3+\\left(-a-1\\right){x}^2+\\left(a+7\\right){x}-a+2', 'field_label': '2.0.40.1', 'galois_images': ['5Nn.1.1.1'], 'gens': [], 'heights': [], 'iso_label': 'a', 'iso_nlabel': 0, 'isodeg': [1, 2], 'isogeny_matrix': [[1, 2], [2, 1]], 'jinv': '8000,0', 'label': '2.0.40.1-49.1-a2', 'local_data': [{'p': '(7,w+2)', 'cp': 4, 'kod': -1, 'red': 0, 'normp': 7, 'rootno': -1, 'ord_cond': 2, 'ord_disc': 6, 'ord_den_j': 0}], 'minD': '(-26*w+333)', 'n_bad_primes': 1, 'ngens': 0, 'non_min_p': [], 'nonmax_primes': [5], 'nonmax_rad': 5, 'normdisc': 117649, 'number': 2, 'omega': {'__RealLiteral__': 0, 'data': '4.7963642241160752894082236537918931014', 'prec': 130}, 'potential_good_reduction': True, 'q_curve': True, 'rank': 0, 'rank_bounds': [0, 0], 'reducible_primes': [2], 'reg': 1, 'root_analytic_conductor': 1.495262938949485, 'semistable': False, 'sha': 1, 'short_class_label': '49.1-a', 'short_label': '49.1-a2', 'signature': [0, 1], 'tamagawa_product': 4, 'torsion_gens': ['[[1/2,0],[-1/2,-3/4],[1,0]]'], 'torsion_order': 2, 'torsion_primes': [2], 'torsion_structure': [2], 'trace_hash': 1879221286641615998}