-
ec_nfcurves • Show schema
Hide schema
{'Lvalue': {'__RealLiteral__': 0, 'data': '5.0780211247580717084996182285849529701', 'prec': 130}, 'abs_disc': 12, 'ainvs': '1,0;0,0;0,0;-27744,0;-1781010,0', 'analytic_rank': 1, 'bad_primes': ['(w+1)', '(w)', '(17)'], 'base_change': ['102.c1', '2448.p1'], 'class_deg': 8, 'class_label': '2.2.12.1-1734.1-e', 'class_size': 6, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(17*w+51)', 'conductor_label': '1734.1', 'conductor_norm': 1734, 'conductor_norm_factors': [2, 3, 17], 'degree': 2, 'disc': '(5202)', 'equation': '{y}^2+{x}{y}={x}^{3}-27744{x}-1781010', 'field_label': '2.2.12.1', 'galois_images': ['2B'], 'gens': ['[[9912/169,15114/169],[1506267/2197,808599/2197],[1,0]]'], 'heights': [{'__RealLiteral__': 0, 'data': '4.0171748911622799015839055953963643298', 'prec': 130}], 'iso_label': 'e', 'iso_nlabel': 4, 'isodeg': [1, 2, 4, 8], 'isogeny_matrix': [[1, 8, 4, 8, 2, 4], [8, 1, 2, 4, 4, 8], [4, 2, 1, 2, 2, 4], [8, 4, 2, 1, 4, 8], [2, 4, 2, 4, 1, 2], [4, 8, 4, 8, 2, 1]], 'jinv': '2361739090258884097/5202,0', 'label': '2.2.12.1-1734.1-e6', 'local_data': [{'p': '(w+1)', 'cp': 2, 'kod': 6, 'red': 1, 'normp': 2, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 2, 'ord_den_j': 2}, {'p': '(w)', 'cp': 4, 'kod': 8, 'red': 1, 'normp': 3, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 4, 'ord_den_j': 4}, {'p': '(17)', 'cp': 2, 'kod': 6, 'red': 1, 'normp': 289, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 2, 'ord_den_j': 2}], 'minD': '(5202)', 'n_bad_primes': 3, 'ngens': 1, 'non_min_p': [], 'nonmax_primes': [2], 'nonmax_rad': 2, 'normdisc': 27060804, 'number': 6, 'omega': {'__RealLiteral__': 0, 'data': '0.13684042312513506724679983258116604429', 'prec': 133}, 'potential_good_reduction': False, 'q_curve': True, 'rank': 1, 'rank_bounds': [1, 1], 'reducible_primes': [2], 'reg': {'__RealLiteral__': 0, 'data': '4.0171748911622799015839055953963643298', 'prec': 130}, 'root_analytic_conductor': 1.997521441799333, 'semistable': True, 'sha': 4, 'short_class_label': '1734.1-e', 'short_label': '1734.1-e6', 'signature': [2, 0], 'tamagawa_product': 16, 'torsion_gens': ['[[-385/4,0],[385/8,0],[1,0]]'], 'torsion_order': 2, 'torsion_primes': [2], 'torsion_structure': [2], 'trace_hash': 1290928538777525082}