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{'Lvalue': {'__RealLiteral__': 0, 'data': '2.9063726387017089534799696958211784325', 'prec': 130}, 'abs_disc': 3, 'ainvs': '1,1;1,1;0,1;4,-2;4,-1', 'analytic_rank': 1, 'bad_primes': ['(-2*w+1)', '(-3*w+1)', '(9*w-8)', '(2)'], 'base_change': [], 'class_deg': 1, 'class_label': '2.0.3.1-18396.2-b', 'class_size': 1, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(150*w-36)', 'conductor_label': '18396.2', 'conductor_norm': 18396, 'conductor_norm_factors': [2, 3, 7, 73], 'degree': 2, 'disc': '(2976*w+1248)', 'equation': '{y}^2+\\left(a+1\\right){x}{y}+a{y}={x}^{3}+\\left(a+1\\right){x}^{2}+\\left(-2a+4\\right){x}-a+4', 'field_label': '2.0.3.1', 'galois_images': [], 'gens': ['[[-1,-1],[-1,3],[1,0]]'], 'heights': [{'__RealLiteral__': 0, 'data': '0.036074370503304846928165016146675978215', 'prec': 137}], 'iso_label': 'b', 'iso_nlabel': 1, 'isodeg': [1], 'isogeny_matrix': [[1]], 'jinv': '6763143/4088,-1916367/16352', 'label': '2.0.3.1-18396.2-b1', 'local_data': [{'p': '(-2*w+1)', 'cp': 2, 'kod': 3, 'red': 0, 'normp': 3, 'rootno': 1, 'ord_cond': 2, 'ord_disc': 3, 'ord_den_j': 0}, {'p': '(-3*w+1)', 'cp': 1, 'kod': 5, 'red': -1, 'normp': 7, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 1, 'ord_den_j': 1}, {'p': '(9*w-8)', 'cp': 1, 'kod': 5, 'red': 1, 'normp': 73, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 1, 'ord_den_j': 1}, {'p': '(2)', 'cp': 5, 'kod': 9, 'red': 1, 'normp': 4, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 5, 'ord_den_j': 5}], 'minD': '(-4224*w+2976)', 'n_bad_primes': 4, 'ngens': 1, 'non_min_p': [], 'nonmax_primes': [], 'nonmax_rad': 1, 'normdisc': 14128128, 'number': 1, 'omega': {'__RealLiteral__': 0, 'data': '3.4886160213788139062391376114464876050', 'prec': 130}, 'potential_good_reduction': False, 'q_curve': False, 'rank': 1, 'rank_bounds': [1, 1], 'reducible_primes': [], 'reg': {'__RealLiteral__': 0, 'data': '0.036074370503304846928165016146675978215', 'prec': 137}, 'root_analytic_conductor': 1.802519746515783, 'semistable': False, 'sha': 1, 'short_class_label': '18396.2-b', 'short_label': '18396.2-b1', 'signature': [0, 1], 'tamagawa_product': 10, 'torsion_gens': [], 'torsion_order': 1, 'torsion_primes': [], 'torsion_structure': [], 'trace_hash': 1863409157323626574}