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{'Lvalue': {'__RealLiteral__': 0, 'data': '1.5232552348384234047206717868710619764', 'prec': 130}, 'abs_disc': 12, 'ainvs': '0,0;0,1;0,0;-11,-10;-38,-23', 'analytic_rank': 0, 'bad_primes': ['(w+1)'], 'base_change': [], 'class_deg': 4, 'class_label': '2.2.12.1-1024.1-q', 'class_size': 4, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(32)', 'conductor_label': '1024.1', 'conductor_norm': 1024, 'conductor_norm_factors': [2], 'degree': 2, 'disc': '(2048*w+2048)', 'equation': '{y}^2={x}^{3}+a{x}^{2}+\\left(-10a-11\\right){x}-23a-38', 'field_label': '2.2.12.1', 'galois_images': ['2B'], 'gens': [], 'heights': [], 'iso_label': 'q', 'iso_nlabel': 16, 'isodeg': [1, 2, 4], 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'jinv': '3470040,2002968', 'label': '2.2.12.1-1024.1-q4', 'local_data': [{'p': '(w+1)', 'cp': 4, 'kod': -13, 'red': 0, 'normp': 2, 'rootno': 1, 'ord_cond': 10, 'ord_disc': 23, 'ord_den_j': 0}], 'minD': '(2048*w+2048)', 'n_bad_primes': 1, 'ngens': 0, 'non_min_p': [], 'nonmax_primes': [2], 'nonmax_rad': 2, 'normdisc': -8388608, 'number': 4, 'omega': {'__RealLiteral__': 0, 'data': '5.2767109192708221762010483553853779410', 'prec': 130}, 'potential_good_reduction': True, 'q_curve': True, 'rank': 0, 'rank_bounds': [0, 0], 'reducible_primes': [2], 'reg': 1, 'root_analytic_conductor': 1.7510726534376486, 'semistable': False, 'sha': 1, 'short_class_label': '1024.1-q', 'short_label': '1024.1-q4', 'signature': [2, 0], 'tamagawa_product': 4, 'torsion_gens': ['[[-2,-1],[0,0],[1,0]]'], 'torsion_order': 2, 'torsion_primes': [2], 'torsion_structure': [2], 'trace_hash': 1498983263137283963}