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ec_nfcurves • Show schema
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{'Lvalue': {'__RealLiteral__': 0, 'data': '1.47115856', 'prec': 34}, 'abs_disc': 24217, 'ainvs': '4,3,-9,-1,2;7,6,-19,-2,4;-2,-3,5,1,-1;-4,-13,9,3,-2;5,13,-1,-3,0', 'analytic_rank': 1, 'bad_primes': ['(3*w^4-w^3-14*w^2+3*w+6)'], 'base_change': [], 'class_deg': 1, 'class_label': '5.5.24217.1-43.1-b', 'class_size': 1, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(3*w^4-w^3-14*w^2+3*w+6)', 'conductor_label': '43.1', 'conductor_norm': 43, 'conductor_norm_factors': [43], 'degree': 5, 'disc': '(-4*w^4+3*w^3+18*w^2-9*w-11)', 'equation': '{y}^2+\\left(2a^{4}-a^{3}-9a^{2}+3a+4\\right){x}{y}+\\left(-a^{4}+a^{3}+5a^{2}-3a-2\\right){y}={x}^{3}+\\left(4a^{4}-2a^{3}-19a^{2}+6a+7\\right){x}^{2}+\\left(-2a^{4}+3a^{3}+9a^{2}-13a-4\\right){x}-3a^{3}-a^{2}+13a+5', 'field_label': '5.5.24217.1', 'galois_images': [], 'gens': ['[[-2,-2,6,0,-1],[-1,-4,0,3,-1],[1,0,0,0,0]]'], 'heights': [{'__RealLiteral__': 0, 'data': '0.0013956060388066603632085360759871885049', 'prec': 140}], 'iso_label': 'b', 'iso_nlabel': 1, 'isodeg': [1], 'isogeny_matrix': [[1]], 'jinv': '-1829937870/1849,-548956180/1849,3275824811/1849,251558661/1849,-673276224/1849', 'label': '5.5.24217.1-43.1-b1', 'local_data': [{'p': '(3*w^4-w^3-14*w^2+3*w+6)', 'cp': 2, 'kod': 6, 'red': -1, 'normp': 43, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 2, 'ord_den_j': 2}], 'minD': '(-4*w^4+3*w^3+18*w^2-9*w-11)', 'n_bad_primes': 1, 'ngens': 1, 'non_min_p': [], 'nonmax_primes': [], 'nonmax_rad': 1, 'normdisc': -1849, 'number': 1, 'omega': {'__RealLiteral__': 0, 'data': '16404.266367643609770763198008809907217', 'prec': 130}, 'potential_good_reduction': False, 'q_curve': False, 'rank': 1, 'rank_bounds': [1, 1], 'reducible_primes': [], 'reg': {'__RealLiteral__': 0, 'data': '0.0013956060388066603632085360759871885049', 'prec': 140}, 'root_analytic_conductor': 20.255621352600457, 'semistable': True, 'sha': 1, 'short_class_label': '43.1-b', 'short_label': '43.1-b1', 'signature': [5, 0], 'tamagawa_product': 2, 'torsion_gens': [], 'torsion_order': 1, 'torsion_primes': [], 'torsion_structure': [], 'trace_hash': 636636726149152430}