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{'Lvalue': {'__RealLiteral__': 0, 'data': '4.6670067418083700688659054810983378984', 'prec': 130}, 'abs_disc': 111, 'ainvs': '0,0;-1,1;0,1;187,-82;-2127,207', 'analytic_rank': 1, 'bad_primes': ['(2,w)', '(7,w)'], 'base_change': [], 'class_deg': 5, 'class_label': '2.0.111.1-784.1-a', 'class_size': 2, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(w-28)', 'conductor_label': '784.1', 'conductor_norm': 784, 'conductor_norm_factors': [2, 7], 'degree': 2, 'disc': '(-248827635*a+2349685828)', 'equation': '{y}^2+a{y}={x}^3+\\left(a-1\\right){x}^2+\\left(-82a+187\\right){x}+207a-2127', 'field_label': '2.0.111.1', 'galois_images': ['3Cn', '5B'], 'gens': ['[[-4884/841,-3117/841],[450141/24389,325833/24389],[1,0]]'], 'heights': [{'__RealLiteral__': 0, 'data': '4.9357735956933336602900395187135284896', 'prec': 130}], 'iso_label': 'a', 'iso_nlabel': 0, 'isodeg': [1, 5], 'isogeny_matrix': [[1, 5], [5, 1]], 'jinv': '4096,0', 'label': '2.0.111.1-784.1-a1', 'local_data': [{'p': '(2,w)', 'cp': 1, 'kod': -2, 'red': 0, 'normp': 2, 'rootno': -1, 'ord_cond': 4, 'ord_disc': 12, 'ord_den_j': 0}, {'p': '(7,w)', 'cp': 1, 'kod': -1, 'red': 0, 'normp': 7, 'rootno': -1, 'ord_cond': 2, 'ord_disc': 6, 'ord_den_j': 0}, {'p': '(7,w+6)', 'cp': 1, 'kod': 1, 'red': None, 'normp': 7, 'rootno': 1, 'ord_cond': 0, 'ord_disc': 0, 'ord_den_j': 0}], 'minD': '(2241*w-19628)', 'n_bad_primes': 2, 'ngens': 1, 'non_min_p': ['(7,w+6)'], 'nonmax_primes': [3, 5], 'nonmax_rad': 15, 'normdisc': 6669982097041199104, 'number': 1, 'omega': {'__RealLiteral__': 0, 'data': '4.9809787807959034672568234316310965771', 'prec': 130}, 'potential_good_reduction': True, 'q_curve': True, 'rank': 1, 'rank_bounds': [1, 1], 'reducible_primes': [5], 'reg': {'__RealLiteral__': 0, 'data': '4.9357735956933336602900395187135284896', 'prec': 130}, 'root_analytic_conductor': 4.9817170682621015, 'semistable': False, 'sha': 1, 'short_class_label': '784.1-a', 'short_label': '784.1-a1', 'signature': [0, 1], 'tamagawa_product': 1, 'torsion_gens': [], 'torsion_order': 1, 'torsion_primes': [], 'torsion_structure': [], 'trace_hash': 2051131728336286413}