Formats: - HTML - YAML - JSON - 2026-09-11T00:42:11.850684
  • ec_nfcurvesShow schema
    {'Lvalue': {'__RealLiteral__': 0, 'data': '2.1616343766139715162927917910149274295', 'prec': 127}, 'abs_disc': 4, 'ainvs': '0,0;-1,0;0,0;806,1432;25788,-258', 'analytic_rank': 0, 'bad_primes': ['(w+1)', '(2*w+1)', '(2*w+3)'], 'base_change': [], 'class_deg': 18, 'class_label': '2.0.4.1-16640.4-g', 'class_size': 6, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(16*w+128)', 'conductor_label': '16640.4', 'conductor_norm': 16640, 'conductor_norm_factors': [2, 5, 13], 'degree': 2, 'disc': '(4531945472*w-9546235904)', 'equation': '{y}^2={x}^{3}-{x}^{2}+\\left(1432i+806\\right){x}-258i+25788', 'field_label': '2.0.4.1', 'galois_images': ['2B', '3B'], 'gens': [], 'heights': [], 'iso_label': 'g', 'iso_nlabel': 6, 'isodeg': [1, 2, 3, 6, 9, 18], 'isogeny_matrix': [[1, 3, 6, 2, 9, 18], [3, 1, 2, 6, 3, 6], [6, 2, 1, 3, 6, 3], [2, 6, 3, 1, 18, 9], [9, 3, 6, 18, 1, 2], [18, 6, 3, 9, 2, 1]], 'jinv': '-33515586556057/812500000,-276861163011391/13000000000', 'label': '2.0.4.1-16640.4-g1', 'local_data': [{'p': '(w+1)', 'cp': 4, 'kod': -34, 'red': 0, 'normp': 2, 'rootno': 1, 'ord_cond': 8, 'ord_disc': 42, 'ord_den_j': 18}, {'p': '(2*w+1)', 'cp': 9, 'kod': 13, 'red': 1, 'normp': 5, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 9, 'ord_den_j': 9}, {'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': '(4531945472*w-9546235904)', 'n_bad_primes': 3, 'ngens': 0, 'non_min_p': [], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'normdisc': 111669149696000000000, 'number': 1, 'omega': {'__RealLiteral__': 0, 'data': '0.24018159740155239069919908789054749217', 'prec': 127}, 'potential_good_reduction': False, 'q_curve': False, 'rank': 0, 'rank_bounds': [0, 0], 'reducible_primes': [2, 3], 'reg': 1, 'root_analytic_conductor': 2.0298169728734807, 'semistable': False, 'sha': 1, 'short_class_label': '16640.4-g', 'short_label': '16640.4-g1', 'signature': [0, 1], 'tamagawa_product': 36, 'torsion_gens': ['[[-9,21],[0,0],[1,0]]'], 'torsion_order': 2, 'torsion_primes': [2], 'torsion_structure': [2], 'trace_hash': 1222278491419585782}