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{'Lvalue': {'__RealLiteral__': 0, 'data': '2.0121520926460230718733793515068294791', 'prec': 130}, 'abs_disc': 40, 'ainvs': '0,1;-1,-1;0,0;-62,12;-300,84', 'analytic_rank': 0, 'bad_primes': ['(2,w)', '(3,w+1)', '(3,w+2)'], 'base_change': [], 'class_deg': 8, 'class_label': '2.2.40.1-72.1-a', 'class_size': 6, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(12,6*w)', 'conductor_label': '72.1', 'conductor_norm': 72, 'conductor_norm_factors': [2, 3], 'degree': 2, 'disc': '(2592*w+14256)', 'equation': '{y}^2+a{x}{y}={x}^{3}+\\left(-a-1\\right){x}^{2}+\\left(12a-62\\right){x}+84a-300', 'field_label': '2.2.40.1', 'galois_images': ['2Cs'], 'gens': [], 'heights': [], 'iso_label': 'a', 'iso_nlabel': 0, 'isodeg': [1, 2, 4], 'isogeny_matrix': [[1, 8, 8, 4, 2, 4], [8, 1, 4, 2, 4, 8], [8, 4, 1, 2, 4, 8], [4, 2, 2, 1, 2, 4], [2, 4, 4, 2, 1, 2], [4, 8, 8, 4, 2, 1]], 'jinv': '362971739468/6561,114749397880/6561', 'label': '2.2.40.1-72.1-a5', 'local_data': [{'p': '(2,w)', 'cp': 4, 'kod': -5, 'red': 0, 'normp': 2, 'rootno': -1, 'ord_cond': 3, 'ord_disc': 8, 'ord_den_j': 0}, {'p': '(3,w+1)', 'cp': 8, 'kod': 12, 'red': 1, 'normp': 3, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 8, 'ord_den_j': 8}, {'p': '(3,w+2)', 'cp': 2, 'kod': 8, 'red': -1, 'normp': 3, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 4, 'ord_den_j': 4}], 'minD': '(2592*w+14256)', 'n_bad_primes': 3, 'ngens': 0, 'non_min_p': [], 'nonmax_primes': [2], 'nonmax_rad': 2, 'normdisc': 136048896, 'number': 5, 'omega': {'__RealLiteral__': 0, 'data': '3.1814918057177869366348374961944182790', 'prec': 130}, 'potential_good_reduction': False, 'q_curve': False, 'rank': 0, 'rank_bounds': [0, 0], 'reducible_primes': [2], 'reg': 1, 'root_analytic_conductor': 1.646272309184155, 'semistable': False, 'sha': 1, 'short_class_label': '72.1-a', 'short_label': '72.1-a5', 'signature': [2, 0], 'tamagawa_product': 64, 'torsion_gens': ['[[-11/2,1],[-5,11/4],[1,0]]', '[[4,-2],[10,-2],[1,0]]'], 'torsion_order': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2], 'trace_hash': 820768633587822274}