-
ec_nfcurves • Show schema
Hide schema
{'Lvalue': {'__RealLiteral__': 0, 'data': '3.3038767129703634855625169482190985024', 'prec': 130}, 'abs_disc': 8, 'ainvs': '1,1;1,1;1,1;14,-1;7,-14', 'analytic_rank': 1, 'bad_primes': ['(w)', '(-w-1)', '(w-1)'], 'base_change': [], 'class_deg': 3, 'class_label': '2.0.8.1-1458.5-b', 'class_size': 2, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(-9*w+36)', 'conductor_label': '1458.5', 'conductor_norm': 1458, 'conductor_norm_factors': [2, 3], 'degree': 2, 'disc': '(78732*w+157464)', 'equation': '{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^{3}+\\left(a+1\\right){x}^{2}+\\left(-a+14\\right){x}-14a+7', 'field_label': '2.0.8.1', 'galois_images': ['3B.1.2'], 'gens': ['[[-3,-3],[7,-2],[1,0]]'], 'heights': [{'__RealLiteral__': 0, 'data': '0.022120226070647472588924217354705739627', 'prec': 137}], 'iso_label': 'b', 'iso_nlabel': 1, 'isodeg': [1, 3], 'isogeny_matrix': [[1, 3], [3, 1]], 'jinv': '-136897/108,211661/216', 'label': '2.0.8.1-1458.5-b1', 'local_data': [{'p': '(w)', 'cp': 5, 'kod': 9, 'red': 1, 'normp': 2, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 5, 'ord_den_j': 5}, {'p': '(-w-1)', 'cp': 4, 'kod': -7, 'red': 0, 'normp': 3, 'rootno': -1, 'ord_cond': 2, 'ord_disc': 9, 'ord_den_j': 3}, {'p': '(w-1)', 'cp': 3, 'kod': -4, 'red': 0, 'normp': 3, 'rootno': 1, 'ord_cond': 4, 'ord_disc': 10, 'ord_den_j': 0}], 'minD': '(-78732*w-157464)', 'n_bad_primes': 3, 'ngens': 1, 'non_min_p': [], 'nonmax_primes': [3], 'nonmax_rad': 3, 'normdisc': 37192366944, 'number': 1, 'omega': {'__RealLiteral__': 0, 'data': '1.7602243458726722328563847228541290704', 'prec': 130}, 'potential_good_reduction': False, 'q_curve': False, 'rank': 1, 'rank_bounds': [1, 1], 'reducible_primes': [3], 'reg': {'__RealLiteral__': 0, 'data': '0.022120226070647472588924217354705739627', 'prec': 137}, 'root_analytic_conductor': 1.5617910437660594, 'semistable': False, 'sha': 1, 'short_class_label': '1458.5-b', 'short_label': '1458.5-b1', 'signature': [0, 1], 'tamagawa_product': 60, 'torsion_gens': [], 'torsion_order': 1, 'torsion_primes': [], 'torsion_structure': [], 'trace_hash': 1828503521248193229}