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ec_nfcurves • Show schema
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{'Lvalue': {'__RealLiteral__': 0, 'data': '1.39442', 'prec': 24}, 'abs_disc': 703493, 'ainvs': '-4,9,10,-11,-2,2;-1,-3,-4,5,1,-1;-2,17,10,-17,-2,3;4,-33,-23,34,5,-6;5,-43,-15,36,3,-6', 'analytic_rank': 0, 'bad_primes': ['(w^5-w^4-6*w^3+4*w^2+7*w+1)'], 'base_change': [], 'class_deg': 2, 'class_label': '6.6.703493.1-41.4-b', 'class_size': 2, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(w^5-w^4-6*w^3+4*w^2+7*w+1)', 'conductor_label': '41.4', 'conductor_norm': 41, 'conductor_norm_factors': [41], 'degree': 6, 'disc': '(3*w^5-w^4-18*w^3+4*w^2+20*w+1)', 'equation': '{y}^2+\\left(2a^{5}-2a^{4}-11a^{3}+10a^{2}+9a-4\\right){x}{y}+\\left(3a^{5}-2a^{4}-17a^{3}+10a^{2}+17a-2\\right){y}={x}^{3}+\\left(-a^{5}+a^{4}+5a^{3}-4a^{2}-3a-1\\right){x}^{2}+\\left(-6a^{5}+5a^{4}+34a^{3}-23a^{2}-33a+4\\right){x}-6a^{5}+3a^{4}+36a^{3}-15a^{2}-43a+5', 'field_label': '6.6.703493.1', 'galois_images': ['2B'], 'gens': [], 'heights': [], 'iso_label': 'b', 'iso_nlabel': 1, 'isodeg': [1, 2], 'isogeny_matrix': [[1, 2], [2, 1]], 'jinv': '-237335216/41,906291495/41,689842493/41,-798145247/41,-141704392/41,132422900/41', 'label': '6.6.703493.1-41.4-b1', 'local_data': [{'p': '(w^5-w^4-6*w^3+4*w^2+7*w+1)', 'cp': 1, 'kod': 5, 'red': -1, 'normp': 41, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 1, 'ord_den_j': 1}], 'minD': '(w^5-w^4-6*w^3+4*w^2+7*w+1)', 'n_bad_primes': 1, 'ngens': 0, 'non_min_p': [], 'nonmax_primes': [2], 'nonmax_rad': 2, 'normdisc': 41, 'number': 1, 'omega': {'__RealLiteral__': 0, 'data': '4678.2549883205107538344904865863164387', 'prec': 130}, 'potential_good_reduction': False, 'q_curve': False, 'rank': 0, 'rank_bounds': [0, 0], 'reducible_primes': [2], 'reg': 1, 'root_analytic_conductor': 102.1332374303807, 'semistable': True, 'sha': 1, 'short_class_label': '41.4-b', 'short_label': '41.4-b1', 'signature': [6, 0], 'tamagawa_product': 1, 'torsion_gens': ['[[2,-13,-5,12,1,-2],[1,-3,-5,5,1,-1],[1,0,0,0,0,0]]'], 'torsion_order': 2, 'torsion_primes': [2], 'torsion_structure': [2], 'trace_hash': 1295408261558452688}