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{'Lvalue': {'__RealLiteral__': 0, 'data': '11.803725918438313615518086081234345547', 'prec': 130}, 'abs_disc': 8, 'ainvs': '0,1;0,-1;1,1;-21,-7;25,53', 'analytic_rank': 1, 'bad_primes': ['(w-1)', '(w+3)', '(2*w+3)'], 'base_change': [], 'class_deg': 2, 'class_label': '2.0.8.1-18513.14-d', 'class_size': 2, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(-26*w+131)', 'conductor_label': '18513.14', 'conductor_norm': 18513, 'conductor_norm_factors': [3, 11, 17], 'degree': 2, 'disc': '(-439438*w+1724209)', 'equation': '{y}^2+a{x}{y}+\\left(a+1\\right){y}={x}^{3}-a{x}^{2}+\\left(-7a-21\\right){x}+53a+25', 'field_label': '2.0.8.1', 'galois_images': ['2B'], 'gens': ['[[67/72,-8/9],[545/108,3707/864],[1,0]]'], 'heights': [{'__RealLiteral__': 0, 'data': '3.3659219589064621075633199885215814295', 'prec': 130}], 'iso_label': 'd', 'iso_nlabel': 3, 'isodeg': [1, 2], 'isogeny_matrix': [[1, 2], [2, 1]], 'jinv': '-95168/2601,1437952/2601', 'label': '2.0.8.1-18513.14-d1', 'local_data': [{'p': '(w-1)', 'cp': 2, 'kod': -6, 'red': 0, 'normp': 3, 'rootno': -1, 'ord_cond': 2, 'ord_disc': 8, 'ord_den_j': 2}, {'p': '(w+3)', 'cp': 2, 'kod': -1, 'red': 0, 'normp': 11, 'rootno': -1, 'ord_cond': 2, 'ord_disc': 6, 'ord_den_j': 0}, {'p': '(2*w+3)', 'cp': 2, 'kod': 6, 'red': -1, 'normp': 17, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 2, 'ord_den_j': 2}], 'minD': '(439438*w-1724209)', 'n_bad_primes': 3, 'ngens': 1, 'non_min_p': [], 'nonmax_primes': [2], 'nonmax_rad': 2, 'normdisc': 3359108187369, 'number': 1, 'omega': {'__RealLiteral__': 0, 'data': '1.2398526677229902387451377452172575830', 'prec': 130}, 'potential_good_reduction': False, 'q_curve': False, 'rank': 1, 'rank_bounds': [1, 1], 'reducible_primes': [2], 'reg': {'__RealLiteral__': 0, 'data': '3.3659219589064621075633199885215814295', 'prec': 130}, 'root_analytic_conductor': 2.9481715253761624, 'semistable': False, 'sha': 1, 'short_class_label': '18513.14-d', 'short_label': '18513.14-d1', 'signature': [0, 1], 'tamagawa_product': 8, 'torsion_gens': ['[[3/2,2],[3/2,-5/4],[1,0]]'], 'torsion_order': 2, 'torsion_primes': [2], 'torsion_structure': [2], 'trace_hash': 2092996890731400456}