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ec_nfcurves • Show schema
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{'Lvalue': {'__RealLiteral__': 0, 'data': '3.64714875', 'prec': 34}, 'abs_disc': 181057, 'ainvs': '-1,-3,0,1,0;0,-4,3,2,-1;4,-2,-5,0,1;-43,32,57,-3,-9;-194,118,282,-2,-50', 'analytic_rank': 1, 'bad_primes': ['(w^3-2*w^2-3*w+4)'], 'base_change': [], 'class_deg': 3, 'class_label': '5.5.181057.1-25.1-a', 'class_size': 2, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(w^3-2*w^2-3*w+4)', 'conductor_label': '25.1', 'conductor_norm': 25, 'conductor_norm_factors': [5], 'degree': 5, 'disc': '(-3*w^4+16*w^2+6*w-14)', 'equation': '{y}^2+\\left(a^{3}-3a-1\\right){x}{y}+\\left(a^{4}-5a^{2}-2a+4\\right){y}={x}^{3}+\\left(-a^{4}+2a^{3}+3a^{2}-4a\\right){x}^{2}+\\left(-9a^{4}-3a^{3}+57a^{2}+32a-43\\right){x}-50a^{4}-2a^{3}+282a^{2}+118a-194', 'field_label': '5.5.181057.1', 'galois_images': ['3B'], 'gens': ['[[-20,4,40,3,-8],[100,3,-234,-27,49],[1,0,0,0,0]]'], 'heights': [{'__RealLiteral__': 0, 'data': '0.043049739730957349990652348402959580398', 'prec': 137}], 'iso_label': 'a', 'iso_nlabel': 0, 'isodeg': [1, 3], 'isogeny_matrix': [[1, 3], [3, 1]], 'jinv': '5046062774/5,104873423319/125,-137248787392/125,-37403782797/125,28069349767/125', 'label': '5.5.181057.1-25.1-a2', 'local_data': [{'p': '(w^3-2*w^2-3*w+4)', 'cp': 1, 'kod': 7, 'red': -1, 'normp': 25, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 3, 'ord_den_j': 3}], 'minD': '(-3*w^4+16*w^2+6*w-14)', 'n_bad_primes': 1, 'ngens': 1, 'non_min_p': [], 'nonmax_primes': [3], 'nonmax_rad': 3, 'normdisc': -15625, 'number': 2, 'omega': {'__RealLiteral__': 0, 'data': '7209.7565710737452620999051312526351279', 'prec': 130}, 'potential_good_reduction': False, 'q_curve': False, 'rank': 1, 'rank_bounds': [1, 1], 'reducible_primes': [3], 'reg': {'__RealLiteral__': 0, 'data': '0.043049739730957349990652348402959580398', 'prec': 137}, 'root_analytic_conductor': 52.46144086709026, 'semistable': True, 'sha': 1, 'short_class_label': '25.1-a', 'short_label': '25.1-a2', 'signature': [5, 0], 'tamagawa_product': 1, 'torsion_gens': [], 'torsion_order': 1, 'torsion_primes': [], 'torsion_structure': [], 'trace_hash': 1486219891056779991}