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ec_nfcurves • Show schema
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{'Lvalue': {'__RealLiteral__': 0, 'data': '0.59511308305380520898139217381124413112', 'prec': 127}, 'abs_disc': 4, 'ainvs': '1,1;1,0;1,0;-1,1;-1,1', 'analytic_rank': 1, 'bad_primes': ['(2*w+1)', '(-3*w-2)', '(3)'], 'base_change': [], 'class_deg': 2, 'class_label': '2.0.4.1-585.3-a', 'class_size': 2, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(-12*w-21)', 'conductor_label': '585.3', 'conductor_norm': 585, 'conductor_norm_factors': [3, 5, 13], 'degree': 2, 'disc': '(162*w-9)', 'equation': '{y}^2+\\left(i+1\\right){x}{y}+{y}={x}^{3}+{x}^{2}+\\left(i-1\\right){x}+i-1', 'field_label': '2.0.4.1', 'galois_images': ['2B'], 'gens': ['[[-1,-1],[1,1],[1,0]]'], 'heights': [{'__RealLiteral__': 0, 'data': '0.051679822644954688193335394766293408517', 'prec': 127}], 'iso_label': 'a', 'iso_nlabel': 0, 'isodeg': [1, 2], 'isogeny_matrix': [[1, 2], [2, 1]], 'jinv': '-51776/325,5298688/2925', 'label': '2.0.4.1-585.3-a2', 'local_data': [{'p': '(2*w+1)', 'cp': 2, 'kod': 6, 'red': -1, 'normp': 5, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 2, 'ord_den_j': 2}, {'p': '(-3*w-2)', 'cp': 1, 'kod': 5, 'red': -1, 'normp': 13, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 1, 'ord_den_j': 1}, {'p': '(3)', 'cp': 2, 'kod': 6, 'red': -1, 'normp': 9, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 2, 'ord_den_j': 2}], 'minD': '(9*w+162)', 'n_bad_primes': 3, 'ngens': 1, 'non_min_p': [], 'nonmax_primes': [2], 'nonmax_rad': 2, 'normdisc': 26325, 'number': 2, 'omega': {'__RealLiteral__': 0, 'data': '5.7576927763693082223543518342389092477', 'prec': 127}, 'potential_good_reduction': False, 'q_curve': False, 'rank': 1, 'rank_bounds': [1, 1], 'reducible_primes': [2], 'reg': {'__RealLiteral__': 0, 'data': '0.051679822644954688193335394766293408517', 'prec': 127}, 'root_analytic_conductor': 0.8789365317706316, 'semistable': True, 'sha': 1, 'short_class_label': '585.3-a', 'short_label': '585.3-a2', 'signature': [0, 1], 'tamagawa_product': 4, 'torsion_gens': ['[[-1,1/2],[1/4,1/4],[1,0]]'], 'torsion_order': 2, 'torsion_primes': [2], 'torsion_structure': [2], 'trace_hash': 1790919986632101903}