Formats: - HTML - YAML - JSON - 2026-09-07T14:57:51.001889
  • ec_nfcurvesShow schema
    {'Lvalue': {'__RealLiteral__': 0, 'data': '1.4464246442229390197954448656768570193', 'prec': 127}, 'abs_disc': 4, 'ainvs': '0,0;0,1;0,0;168,9736;-271456,-254592', 'analytic_rank': 0, 'bad_primes': ['(w+1)', '(-w-2)', '(2*w+1)', '(2*w+3)'], 'base_change': [], 'class_deg': 12, 'class_label': '2.0.4.1-83200.4-n', 'class_size': 8, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(160*w+240)', 'conductor_label': '83200.4', 'conductor_norm': 83200, 'conductor_norm_factors': [2, 5, 13], 'degree': 2, 'disc': '(248832000*w-152576000)', 'equation': '{y}^2={x}^{3}+i{x}^{2}+\\left(9736i+168\\right){x}-254592i-271456', 'field_label': '2.0.4.1', 'galois_images': ['2B', '3B'], 'gens': [], 'heights': [], 'iso_label': 'n', 'iso_nlabel': 13, 'isodeg': [1, 2, 3, 4, 6, 12], 'isogeny_matrix': [[1, 3, 4, 12, 2, 4, 6, 12], [3, 1, 12, 4, 6, 12, 2, 4], [4, 12, 1, 12, 2, 4, 6, 3], [12, 4, 12, 1, 6, 3, 2, 4], [2, 6, 2, 6, 1, 2, 3, 6], [4, 12, 4, 3, 2, 1, 6, 12], [6, 2, 6, 2, 3, 6, 1, 2], [12, 4, 3, 4, 6, 12, 2, 1]], 'jinv': '5856979210600901/20312500,-4023422266102893/20312500', 'label': '2.0.4.1-83200.4-n8', 'local_data': [{'p': '(w+1)', 'cp': 4, 'kod': -19, 'red': 0, 'normp': 2, 'rootno': 1, 'ord_cond': 8, 'ord_disc': 27, 'ord_den_j': 3}, {'p': '(-w-2)', 'cp': 8, 'kod': 12, 'red': 1, 'normp': 5, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 8, 'ord_den_j': 8}, {'p': '(2*w+1)', 'cp': 1, 'kod': 7, 'red': -1, 'normp': 5, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 3, 'ord_den_j': 3}, {'p': '(2*w+3)', 'cp': 1, 'kod': 5, 'red': -1, 'normp': 13, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 1, 'ord_den_j': 1}], 'minD': '(-152576000*w-248832000)', 'n_bad_primes': 4, 'ngens': 0, 'non_min_p': [], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'normdisc': 85196800000000000, 'number': 8, 'omega': {'__RealLiteral__': 0, 'data': '0.18080308052786737747443060820960712741', 'prec': 127}, 'potential_good_reduction': False, 'q_curve': False, 'rank': 0, 'rank_bounds': [0, 0], 'reducible_primes': [2, 3], 'reg': 1, 'root_analytic_conductor': 3.035284336488507, 'semistable': False, 'sha': 1, 'short_class_label': '83200.4-n', 'short_label': '83200.4-n8', 'signature': [0, 1], 'tamagawa_product': 32, 'torsion_gens': ['[[40,-41],[0,0],[1,0]]'], 'torsion_order': 2, 'torsion_primes': [2], 'torsion_structure': [2], 'trace_hash': 1898082492976953770}