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ec_nfcurves • Show schema
{'Lvalue': {'__RealLiteral__': 0, 'data': '2.10645450', 'prec': 34}, 'abs_disc': 70601, 'ainvs': '3,3,-5,-1,1;1,0,4,1,-1;0,1,-4,-1,1;5,5,0,-1,0;3,2,-5,-1,1', 'analytic_rank': 0, 'bad_primes': ['(-w^4+w^3+6*w^2-2)'], 'base_change': [], 'class_deg': 2, 'class_label': '5.5.70601.1-47.2-a', 'class_size': 2, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(-w^4+w^3+6*w^2-2)', 'conductor_label': '47.2', 'conductor_norm': 47, 'conductor_norm_factors': [47], 'degree': 5, 'disc': '(w^3-w^2-4*w-1)', 'equation': '{y}^2+\\left(a^{4}-a^{3}-5a^{2}+3a+3\\right){x}{y}+\\left(a^{4}-a^{3}-4a^{2}+a\\right){y}={x}^{3}+\\left(-a^{4}+a^{3}+4a^{2}+1\\right){x}^{2}+\\left(-a^{3}+5a+5\\right){x}+a^{4}-a^{3}-5a^{2}+2a+3', 'field_label': '5.5.70601.1', 'galois_images': ['2B'], 'gens': [], 'heights': [], 'iso_label': 'a', 'iso_nlabel': 0, 'isodeg': [1, 2], 'isogeny_matrix': [[1, 2], [2, 1]], 'jinv': '717218/47,-1887071/47,-2158825/47,2877117/47,1877152/47', 'label': '5.5.70601.1-47.2-a1', 'local_data': [{'p': '(-w^4+w^3+6*w^2-2)', 'cp': 1, 'kod': 5, 'red': 1, 'normp': 47, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 1, 'ord_den_j': 1}], 'minD': '(-w^4+w^3+6*w^2-2)', 'n_bad_primes': 1, 'ngens': 0, 'non_min_p': [], 'nonmax_primes': [2], 'nonmax_rad': 2, 'normdisc': -47, 'number': 1, 'omega': {'__RealLiteral__': 0, 'data': '2238.8113461109151623419375014526044021', 'prec': 130}, 'potential_good_reduction': False, 'q_curve': False, 'rank': 0, 'rank_bounds': [0, 0], 'reducible_primes': [2], 'reg': 1, 'root_analytic_conductor': 34.89424174807114, 'semistable': True, 'sha': 1, 'short_class_label': '47.2-a', 'short_label': '47.2-a1', 'signature': [5, 0], 'tamagawa_product': 1, 'torsion_gens': ['[[-1,-1,0,0,0],[2,1,0,0,0],[1,0,0,0,0]]'], 'torsion_order': 2, 'torsion_primes': [2], 'torsion_structure': [2], 'trace_hash': 2261467299362758481}
Elliptic curve data - 5.5.70601.1-47.2-a1