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ec_nfcurves • Show schema
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{'Lvalue': {'__RealLiteral__': 0, 'data': '1.3479672263758588637523223214459093297', 'prec': 130}, 'abs_disc': 13, 'ainvs': '0,1;0,-1;1,0;-6,1;-15,6', 'analytic_rank': 0, 'bad_primes': ['(-w)', '(-w+1)'], 'base_change': [], 'class_deg': 3, 'class_label': '2.2.13.1-729.1-e', 'class_size': 2, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(27)', 'conductor_label': '729.1', 'conductor_norm': 729, 'conductor_norm_factors': [3], 'degree': 2, 'disc': '(-135*w+2268)', 'equation': '{y}^2+a{x}{y}+{y}={x}^{3}-a{x}^{2}+\\left(a-6\\right){x}+6a-15', 'field_label': '2.2.13.1', 'galois_images': ['3B.1.2'], 'gens': [], 'heights': [], 'iso_label': 'e', 'iso_nlabel': 4, 'isodeg': [1, 3], 'isogeny_matrix': [[1, 3], [3, 1]], 'jinv': '16707,13515', 'label': '2.2.13.1-729.1-e1', 'local_data': [{'p': '(-w)', 'cp': 1, 'kod': -2, 'red': 0, 'normp': 3, 'rootno': -1, 'ord_cond': 3, 'ord_disc': 11, 'ord_den_j': 0}, {'p': '(-w+1)', 'cp': 1, 'kod': 2, 'red': 0, 'normp': 3, 'rootno': -1, 'ord_cond': 3, 'ord_disc': 3, 'ord_den_j': 0}], 'minD': '(-135*w+2268)', 'n_bad_primes': 2, 'ngens': 0, 'non_min_p': [], 'nonmax_primes': [3], 'nonmax_rad': 3, 'normdisc': -4782969, 'number': 1, 'omega': {'__RealLiteral__': 0, 'data': '4.8601649523431339159362490979977004158', 'prec': 130}, 'potential_good_reduction': True, 'q_curve': False, 'rank': 0, 'rank_bounds': [0, 0], 'reducible_primes': [3], 'reg': 1, 'root_analytic_conductor': 1.6741413055494874, 'semistable': False, 'sha': 1, 'short_class_label': '729.1-e', 'short_label': '729.1-e1', 'signature': [2, 0], 'tamagawa_product': 1, 'torsion_gens': [], 'torsion_order': 1, 'torsion_primes': [], 'torsion_structure': [], 'trace_hash': 639208935815868871}