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{'Lvalue': {'__RealLiteral__': 0, 'data': '0.61263350852339641722889851365048825476', 'prec': 133}, 'abs_disc': 81, 'ainvs': '0,0,0;0,0,0;1,0,0;0,0,0;0,0,0', 'analytic_rank': 0, 'bad_primes': ['(-w^2+1)'], 'base_change': ['27.a4'], 'class_deg': 27, 'class_label': '3.3.81.1-27.1-a', 'class_size': 4, 'cm': -3, 'cm_type': -1, 'conductor_ideal': '(3)', 'conductor_label': '27.1', 'conductor_norm': 27, 'conductor_norm_factors': [3], 'degree': 3, 'disc': '(-27)', 'equation': '{y}^2+{y}={x}^{3}', 'field_label': '3.3.81.1', 'galois_images': ['3Cs.1.1'], 'gens': [], 'heights': [], 'iso_label': 'a', 'iso_nlabel': 0, 'isodeg': [1, 3, 9], 'isogeny_matrix': [[1, 3, 27, 9], [3, 1, 9, 3], [27, 9, 1, 3], [9, 3, 3, 1]], 'jinv': '0,0,0', 'label': '3.3.81.1-27.1-a4', 'local_data': [{'p': '(-w^2+1)', 'cp': 3, 'kod': -4, 'red': 0, 'normp': 3, 'rootno': -1, 'ord_cond': 3, 'ord_disc': 9, 'ord_den_j': 0}], 'minD': '(27)', 'n_bad_primes': 1, 'ngens': 0, 'non_min_p': [], 'nonmax_primes': [3], 'nonmax_rad': 3, 'normdisc': -19683, 'number': 4, 'omega': {'__RealLiteral__': 0, 'data': '148.86994257118532938662233881706864591', 'prec': 130}, 'potential_good_reduction': True, 'q_curve': True, 'rank': 0, 'rank_bounds': [0, 0], 'reducible_primes': [3], 'reg': 1, 'root_analytic_conductor': 1.3929697660455929, 'semistable': False, 'sha': 1, 'short_class_label': '27.1-a', 'short_label': '27.1-a4', 'signature': [3, 0], 'tamagawa_product': 3, 'torsion_gens': ['[[1,1,0],[-1,1,1],[1,0,0]]'], 'torsion_order': 9, 'torsion_primes': [3], 'torsion_structure': [9], 'trace_hash': 13626552885254138}