Formats: - HTML - YAML - JSON - 2026-10-12T03:08:20.725215
  • ec_nfcurves • Show schema
    {'Lvalue': {'__RealLiteral__': 0, 'data': '5.9907832435360574437812719689178514419', 'prec': 127}, 'abs_disc': 4, 'ainvs': '1,0;1,-1;1,1;9,-6;4,-11', 'analytic_rank': 1, 'bad_primes': ['(w+1)', '(2*w+1)', '(2*w+3)', '(w+4)'], 'base_change': [], 'class_deg': 18, 'class_label': '2.0.4.1-37570.10-c', 'class_size': 6, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(33*w-191)', 'conductor_label': '37570.10', 'conductor_norm': 37570, 'conductor_norm_factors': [2, 5, 13, 17], 'degree': 2, 'disc': '(79198*w-1856)', 'equation': '{y}^2+{x}{y}+\\left(i+1\\right){y}={x}^{3}+\\left(-i+1\\right){x}^{2}+\\left(-6i+9\\right){x}-11i+4', 'field_label': '2.0.4.1', 'galois_images': ['2B', '3B'], 'gens': ['[[-3/2,-1],[-7/4,15/4],[1,0]]'], 'heights': [{'__RealLiteral__': 0, 'data': '0.71417697762939653639003844434310467826', 'prec': 127}], 'iso_label': 'c', 'iso_nlabel': 2, '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': '101344/65,31409/130', 'label': '2.0.4.1-37570.10-c5', 'local_data': [{'p': '(w+1)', 'cp': 2, 'kod': 6, 'red': 1, 'normp': 2, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 2, 'ord_den_j': 2}, {'p': '(2*w+1)', 'cp': 1, 'kod': 5, 'red': 1, 'normp': 5, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 1, 'ord_den_j': 1}, {'p': '(2*w+3)', 'cp': 1, 'kod': 5, 'red': -1, 'normp': 13, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 1, 'ord_den_j': 1}, {'p': '(w+4)', 'cp': 4, 'kod': -1, 'red': 0, 'normp': 17, 'rootno': 1, 'ord_cond': 2, 'ord_disc': 6, 'ord_den_j': 0}], 'minD': '(1856*w+79198)', 'n_bad_primes': 4, 'ngens': 1, 'non_min_p': [], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'normdisc': 6275767940, 'number': 5, 'omega': {'__RealLiteral__': 0, 'data': '2.0970933785283742799973729812410202549', 'prec': 127}, 'potential_good_reduction': False, 'q_curve': False, 'rank': 1, 'rank_bounds': [1, 1], 'reducible_primes': [2, 3], 'reg': {'__RealLiteral__': 0, 'data': '0.71417697762939653639003844434310467826', 'prec': 127}, 'root_analytic_conductor': 2.488163116173984, 'semistable': False, 'sha': 1, 'short_class_label': '37570.10-c', 'short_label': '37570.10-c5', 'signature': [0, 1], 'tamagawa_product': 8, 'torsion_gens': ['[[-1,-3],[0,1],[1,0]]'], 'torsion_order': 2, 'torsion_primes': [2], 'torsion_structure': [2], 'trace_hash': 1110210401753050147}