-
ec_nfcurves • Show schema
Hide schema
{'Lvalue': {'__RealLiteral__': 0, 'data': '1.0711362202747156221509204900802993526', 'prec': 130}, 'abs_disc': 28, 'ainvs': '0,1;-1,0;0,0;-54135,-20457;4348600,1643612', 'analytic_rank': 0, 'bad_primes': ['(w+3)', '(-w+2)', '(-w-2)'], 'base_change': [], 'class_deg': 16, 'class_label': '2.2.28.1-162.1-b', 'class_size': 8, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(9*w+27)', 'conductor_label': '162.1', 'conductor_norm': 162, 'conductor_norm_factors': [2, 3], 'degree': 2, 'disc': '(-27398736*w-112547394)', 'equation': '{y}^2+a{x}{y}={x}^{3}-{x}^{2}+\\left(-20457a-54135\\right){x}+1643612a+4348600', 'field_label': '2.2.28.1', 'galois_images': ['2Cs'], 'gens': [], 'heights': [], 'iso_label': 'b', 'iso_nlabel': 1, 'isodeg': [1, 2, 4, 8], 'isogeny_matrix': [[1, 8, 16, 8, 4, 16, 2, 4], [8, 1, 8, 4, 2, 8, 4, 8], [16, 8, 1, 2, 4, 4, 8, 16], [8, 4, 2, 1, 2, 2, 4, 8], [4, 2, 4, 2, 1, 4, 2, 4], [16, 8, 4, 2, 4, 1, 8, 16], [2, 4, 8, 4, 2, 8, 1, 2], [4, 8, 16, 8, 4, 16, 2, 1]], 'jinv': '20954710660855016/43046721,-15840177853915205/86093442', 'label': '2.2.28.1-162.1-b4', 'local_data': [{'p': '(w+3)', 'cp': 2, 'kod': 6, 'red': -1, 'normp': 2, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 2, 'ord_den_j': 2}, {'p': '(-w+2)', 'cp': 4, 'kod': -8, 'red': 0, 'normp': 3, 'rootno': -1, 'ord_cond': 2, 'ord_disc': 10, 'ord_den_j': 4}, {'p': '(-w-2)', 'cp': 4, 'kod': -20, 'red': 0, 'normp': 3, 'rootno': -1, 'ord_cond': 2, 'ord_disc': 22, 'ord_den_j': 16}], 'minD': '(27398736*w+112547394)', 'n_bad_primes': 3, 'ngens': 0, 'non_min_p': [], 'nonmax_primes': [2], 'nonmax_rad': 2, 'normdisc': 7412080755407364, 'number': 4, 'omega': {'__RealLiteral__': 0, 'data': '2.8339600591205989584331911729870698708', 'prec': 130}, 'potential_good_reduction': False, 'q_curve': True, 'rank': 0, 'rank_bounds': [0, 0], 'reducible_primes': [2], 'reg': 1, 'root_analytic_conductor': 1.6869271299572652, 'semistable': False, 'sha': 1, 'short_class_label': '162.1-b', 'short_label': '162.1-b4', 'signature': [2, 0], 'tamagawa_product': 32, 'torsion_gens': ['[[-184,-68],[238,92],[1,0]]', '[[44,16],[-56,-22],[1,0]]'], 'torsion_order': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2], 'trace_hash': 1961310598671160145}