Formats: - HTML - YAML - JSON - 2026-07-27T05:55:36.601594
  • ec_nfcurvesShow schema
    {'Lvalue': {'__RealLiteral__': 0, 'data': '4.0292572687837739174916235717245051265', 'prec': 130}, 'abs_disc': 4, 'ainvs': '1,1;-1,1;1,1;772,-1107;-18623,-1732', 'analytic_rank': 1, 'bad_primes': ['(w+1)', '(-w-2)', '(2*w+1)', '(2*w+3)'], 'base_change': [], 'class_deg': 3, 'class_label': '2.0.4.1-67600.6-b', 'class_size': 2, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(100*w-240)', 'conductor_label': '67600.6', 'conductor_norm': 67600, 'conductor_norm_factors': [2, 5, 13], 'degree': 2, 'disc': '(-406323200*w-353894400)', 'equation': '{y}^2+\\left(i+1\\right){x}{y}+\\left(i+1\\right){y}={x}^{3}+\\left(i-1\\right){x}^{2}+\\left(-1107i+772\\right){x}-1732i-18623', 'field_label': '2.0.4.1', 'galois_images': ['3B'], 'gens': ['[[11,18],[8,-15],[1,0]]'], 'heights': [{'__RealLiteral__': 0, 'data': '1.5534279959794970911801476197308481014', 'prec': 130}], 'iso_label': 'b', 'iso_nlabel': 1, 'isodeg': [1, 3], 'isogeny_matrix': [[1, 3], [3, 1]], 'jinv': '-853138583973/2048000,577233446569/2048000', 'label': '2.0.4.1-67600.6-b1', 'local_data': [{'p': '(w+1)', 'cp': 2, 'kod': -35, 'red': 0, 'normp': 2, 'rootno': 1, 'ord_cond': 4, 'ord_disc': 39, 'ord_den_j': 27}, {'p': '(-w-2)', 'cp': 1, 'kod': 7, 'red': -1, 'normp': 5, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 3, 'ord_den_j': 3}, {'p': '(2*w+1)', 'cp': 2, 'kod': 6, 'red': -1, 'normp': 5, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 2, 'ord_den_j': 2}, {'p': '(2*w+3)', 'cp': 1, 'kod': 2, 'red': 0, 'normp': 13, 'rootno': 1, 'ord_cond': 2, 'ord_disc': 2, 'ord_den_j': 0}], 'minD': '(-353894400*w+406323200)', 'n_bad_primes': 4, 'ngens': 1, 'non_min_p': [], 'nonmax_primes': [3], 'nonmax_rad': 3, 'normdisc': 290339789209600000, 'number': 1, 'omega': {'__RealLiteral__': 0, 'data': '0.32422304728736152844658813944969230625', 'prec': 133}, 'potential_good_reduction': False, 'q_curve': False, 'rank': 1, 'rank_bounds': [1, 1], 'reducible_primes': [3], 'reg': {'__RealLiteral__': 0, 'data': '1.5534279959794970911801476197308481014', 'prec': 130}, 'root_analytic_conductor': 2.881742842484937, 'semistable': False, 'sha': 1, 'short_class_label': '67600.6-b', 'short_label': '67600.6-b1', 'signature': [0, 1], 'tamagawa_product': 4, 'torsion_gens': [], 'torsion_order': 1, 'torsion_primes': [], 'torsion_structure': [], 'trace_hash': 2260757748640821345}