-
ec_nfcurves • Show schema
Hide schema
{'Lvalue': {'__RealLiteral__': 0, 'data': '2.35052', 'prec': 24}, 'abs_disc': 434581, 'ainvs': '1,5,4,-8,-3,2;-2,-2,3,2,-1,0;-3,1,11,-5,-5,2;-1,-5,-2,13,4,-3;-1,-4,-1,12,4,-3', 'analytic_rank': 1, 'bad_primes': ['(-w^5+4*w^4-11*w^2+3*w+4)'], 'base_change': [], 'class_deg': 3, 'class_label': '6.6.434581.1-49.1-a', 'class_size': 2, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(-w^5+4*w^4-11*w^2+3*w+4)', 'conductor_label': '49.1', 'conductor_norm': 49, 'conductor_norm_factors': [7], 'degree': 6, 'disc': '(7)', 'equation': '{y}^2+\\left(2a^{5}-3a^{4}-8a^{3}+4a^{2}+5a+1\\right){x}{y}+\\left(2a^{5}-5a^{4}-5a^{3}+11a^{2}+a-3\\right){y}={x}^{3}+\\left(-a^{4}+2a^{3}+3a^{2}-2a-2\\right){x}^{2}+\\left(-3a^{5}+4a^{4}+13a^{3}-2a^{2}-5a-1\\right){x}-3a^{5}+4a^{4}+12a^{3}-a^{2}-4a-1', 'field_label': '6.6.434581.1', 'galois_images': ['3B'], 'gens': ['[[1,-8,-4,17,5,-4],[4,21,-7,-44,-7,9],[1,0,0,0,0,0]]'], 'heights': [{'__RealLiteral__': 0, 'data': '0.0018047521437735257265851585826832639131', 'prec': 140}], 'iso_label': 'a', 'iso_nlabel': 0, 'isodeg': [1, 3], 'isogeny_matrix': [[1, 3], [3, 1]], 'jinv': '1345334,6920425/7,-45131999/7,12812783/7,19264786/7,-988580', 'label': '6.6.434581.1-49.1-a1', 'local_data': [{'p': '(-w^5+4*w^4-11*w^2+3*w+4)', 'cp': 3, 'kod': 7, 'red': 1, 'normp': 49, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 3, 'ord_den_j': 3}], 'minD': '(7)', 'n_bad_primes': 1, 'ngens': 1, 'non_min_p': [], 'nonmax_primes': [3], 'nonmax_rad': 3, 'normdisc': 117649, 'number': 1, 'omega': {'__RealLiteral__': 0, 'data': '47699.109079200081911902247417438000448', 'prec': 130}, 'potential_good_reduction': False, 'q_curve': False, 'rank': 1, 'rank_bounds': [1, 1], 'reducible_primes': [3], 'reg': {'__RealLiteral__': 0, 'data': '0.0018047521437735257265851585826832639131', 'prec': 140}, 'root_analytic_conductor': 81.47485463935365, 'semistable': True, 'sha': 1, 'short_class_label': '49.1-a', 'short_label': '49.1-a1', 'signature': [6, 0], 'tamagawa_product': 3, 'torsion_gens': [], 'torsion_order': 1, 'torsion_primes': [], 'torsion_structure': [], 'trace_hash': 2260457639465589453}