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ec_nfcurves • Show schema
{'Lvalue': {'__RealLiteral__': 0, 'data': '2.49074095054839', 'prec': 54}, 'abs_disc': 11661, 'ainvs': '1,-4,-1,1;-2,0,1,0;-2,-5,0,1;-88,-97,-21,27;-512,-812,45,128', 'analytic_rank': 0, 'bad_primes': ['(w^3-w^2-3*w+1)'], 'base_change': [], 'class_deg': 9, 'class_label': '4.4.11661.1-25.2-a', 'class_size': 3, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(w^3-w^2-3*w+1)', 'conductor_label': '25.2', 'conductor_norm': 25, 'conductor_norm_factors': [5], 'degree': 4, 'disc': '(-w^3+w^2+3*w-1)', 'equation': '{y}^2+\\left(a^{3}-a^{2}-4a+1\\right){x}{y}+\\left(a^{3}-5a-2\\right){y}={x}^{3}+\\left(a^{2}-2\\right){x}^{2}+\\left(27a^{3}-21a^{2}-97a-88\\right){x}+128a^{3}+45a^{2}-812a-512', 'field_label': '4.4.11661.1', 'galois_images': ['3B'], 'gens': [], 'heights': [], 'iso_label': 'a', 'iso_nlabel': 0, 'isodeg': [1, 3, 9], 'isogeny_matrix': [[1, 9, 3], [9, 1, 3], [3, 3, 1]], 'jinv': '-32137260312856,-376885158230829/5,-41581559026969/5,78903093985421/5', 'label': '4.4.11661.1-25.2-a2', 'local_data': [{'p': '(w^3-w^2-3*w+1)', 'cp': 1, 'kod': 5, 'red': -1, 'normp': 25, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 1, 'ord_den_j': 1}], 'minD': '(w^3-w^2-3*w+1)', 'n_bad_primes': 1, 'ngens': 0, 'non_min_p': [], 'nonmax_primes': [3], 'nonmax_rad': 3, 'normdisc': -25, 'number': 2, 'omega': {'__RealLiteral__': 0, 'data': '29.885047423360230542354597783882936502', 'prec': 130}, 'potential_good_reduction': False, 'q_curve': False, 'rank': 0, 'rank_bounds': [0, 0], 'reducible_primes': [3], 'reg': 1, 'root_analytic_conductor': 14.429422577383663, 'semistable': True, 'sha': 9, 'short_class_label': '25.2-a', 'short_label': '25.2-a2', 'signature': [4, 0], 'tamagawa_product': 1, 'torsion_gens': [], 'torsion_order': 1, 'torsion_primes': [], 'torsion_structure': [], 'trace_hash': 673649139408336967}
Elliptic curve data - 4.4.11661.1-25.2-a2