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ec_nfcurves • Show schema
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{'Lvalue': {'__RealLiteral__': 0, 'data': '2.55877', 'prec': 24}, 'abs_disc': 703493, 'ainvs': '-1,14,5,-12,-1,2;4,-7,-6,6,1,-1;-5,9,11,-11,-2,2;28,-156,-71,169,3,-30;63,-561,-157,635,-28,-115', 'analytic_rank': 1, 'bad_primes': ['(w^5-w^4-6*w^3+4*w^2+7*w+1)'], 'base_change': [], 'class_deg': 6, 'class_label': '6.6.703493.1-41.4-e', 'class_size': 4, '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}-a^{4}-12a^{3}+5a^{2}+14a-1\\right){x}{y}+\\left(2a^{5}-2a^{4}-11a^{3}+11a^{2}+9a-5\\right){y}={x}^{3}+\\left(-a^{5}+a^{4}+6a^{3}-6a^{2}-7a+4\\right){x}^{2}+\\left(-30a^{5}+3a^{4}+169a^{3}-71a^{2}-156a+28\\right){x}-115a^{5}-28a^{4}+635a^{3}-157a^{2}-561a+63', 'field_label': '6.6.703493.1', 'galois_images': ['2B', '3B.1.2'], 'gens': ['[[-4,36,29,-41,-6,7],[25,-216,-60,169,13,-27],[1,0,0,0,0,0]]'], 'heights': [{'__RealLiteral__': 0, 'data': '0.73889298815700112148616092496246651991', 'prec': 133}], 'iso_label': 'e', 'iso_nlabel': 4, 'isodeg': [1, 2, 3, 6], 'isogeny_matrix': [[1, 2, 3, 6], [2, 1, 6, 3], [3, 6, 1, 2], [6, 3, 2, 1]], 'jinv': '-778052671995566/41,6635361185868735/41,1577558381739890/41,-7841722250015960/41,213704000156457/41,1661681620471232/41', 'label': '6.6.703493.1-41.4-e2', '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': 1, 'non_min_p': [], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'normdisc': 41, 'number': 2, 'omega': {'__RealLiteral__': 0, 'data': '23.905771814635152682304169748251188727', 'prec': 130}, 'potential_good_reduction': False, 'q_curve': False, 'rank': 1, 'rank_bounds': [1, 1], 'reducible_primes': [2, 3], 'reg': {'__RealLiteral__': 0, 'data': '0.73889298815700112148616092496246651991', 'prec': 133}, 'root_analytic_conductor': 102.1332374303807, 'semistable': True, 'sha': 81, 'short_class_label': '41.4-e', 'short_label': '41.4-e2', 'signature': [6, 0], 'tamagawa_product': 1, 'torsion_gens': ['[[0,0,-5,0,2,0],[1,8,1,-3,-1,0],[1,0,0,0,0,0]]'], 'torsion_order': 2, 'torsion_primes': [2], 'torsion_structure': [2], 'trace_hash': 1153660708858364002}