-
ec_nfcurves • Show schema
Hide schema
{'Lvalue': {'__RealLiteral__': 0, 'data': '2.9715864112555461979447017745200648477', 'prec': 130}, 'abs_disc': 3, 'ainvs': '0,0;-1,0;0,0;-2384,7520;121984,119424', 'analytic_rank': 1, 'bad_primes': ['(-2*w+1)', '(-3*w+1)', '(3*w-2)', '(2)'], 'base_change': [], 'class_deg': 16, 'class_label': '2.0.3.1-37632.2-f', 'class_size': 8, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(-224*w+112)', 'conductor_label': '37632.2', 'conductor_norm': 37632, 'conductor_norm_factors': [2, 3, 7], 'degree': 2, 'disc': '(-1509614804992*w+2273646964736)', 'equation': '{y}^2={x}^{3}-{x}^{2}+\\left(7520a-2384\\right){x}+119424a+121984', 'field_label': '2.0.3.1', 'galois_images': ['2B'], 'gens': ['[[-2,-40],[-714,84],[1,0]]'], 'heights': [{'__RealLiteral__': 0, 'data': '1.4925984173890274178188752072631063538', 'prec': 130}], 'iso_label': 'f', 'iso_nlabel': 5, 'isodeg': [1, 2, 4, 8, 16], 'isogeny_matrix': [[1, 2, 16, 8, 4, 16, 4, 8], [2, 1, 8, 4, 2, 8, 2, 4], [16, 8, 1, 2, 16, 4, 4, 8], [8, 4, 2, 1, 8, 2, 2, 4], [4, 2, 16, 8, 1, 16, 4, 8], [16, 8, 4, 2, 16, 1, 4, 8], [4, 2, 4, 2, 4, 4, 1, 2], [8, 4, 8, 4, 8, 8, 2, 1]], 'jinv': '-1072967896631695607/99698791708803,1866593950165482334/99698791708803', 'label': '2.0.3.1-37632.2-f1', 'local_data': [{'p': '(-2*w+1)', 'cp': 1, 'kod': 5, 'red': -1, 'normp': 3, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 1, 'ord_den_j': 1}, {'p': '(-3*w+1)', 'cp': 16, 'kod': 20, 'red': 1, 'normp': 7, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 16, 'ord_den_j': 16}, {'p': '(3*w-2)', 'cp': 4, 'kod': 8, 'red': 1, 'normp': 7, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 4, 'ord_den_j': 4}, {'p': '(2)', 'cp': 2, 'kod': -8, 'red': 0, 'normp': 4, 'rootno': 1, 'ord_cond': 4, 'ord_disc': 12, 'ord_den_j': 0}], 'minD': '(1509614804992*w-2273646964736)', 'n_bad_primes': 4, 'ngens': 1, 'non_min_p': [], 'nonmax_primes': [2], 'nonmax_rad': 2, 'normdisc': 4016076260413670474907648, 'number': 1, 'omega': {'__RealLiteral__': 0, 'data': '0.10775961620464087257951965838643977477', 'prec': 133}, 'potential_good_reduction': False, 'q_curve': True, 'rank': 1, 'rank_bounds': [1, 1], 'reducible_primes': [2], 'reg': {'__RealLiteral__': 0, 'data': '1.4925984173890274178188752072631063538', 'prec': 130}, 'root_analytic_conductor': 2.1557009141043006, 'semistable': False, 'sha': 1, 'short_class_label': '37632.2-f', 'short_label': '37632.2-f1', 'signature': [0, 1], 'tamagawa_product': 128, 'torsion_gens': ['[[-86,16],[-490,784],[1,0]]'], 'torsion_order': 4, 'torsion_primes': [2], 'torsion_structure': [4], 'trace_hash': 1710281274913263791}