Formats: - HTML - YAML - JSON - 2026-09-11T01:43:58.150997
  • ec_nfcurvesShow schema
    {'Lvalue': {'__RealLiteral__': 0, 'data': '4.5488171866159716266396764832779479951', 'prec': 127}, 'abs_disc': 4, 'ainvs': '1,0;1,-1;0,0;33,-30;145,88', 'analytic_rank': 1, 'bad_primes': ['(w+1)', '(-w-2)', '(2*w+1)', '(2*w+3)'], 'base_change': [], 'class_deg': 1, 'class_label': '2.0.4.1-16250.6-h', 'class_size': 1, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(25*w-125)', 'conductor_label': '16250.6', 'conductor_norm': 16250, 'conductor_norm_factors': [2, 5, 13], 'degree': 2, 'disc': '(-9120000*w-160000)', 'equation': '{y}^2+{x}{y}={x}^{3}+\\left(-i+1\\right){x}^{2}+\\left(-30i+33\\right){x}+88i+145', 'field_label': '2.0.4.1', 'galois_images': [], 'gens': ['[[-10,12],[-55,-26],[1,0]]'], 'heights': [{'__RealLiteral__': 0, 'data': '0.011864458859296591119672573078343872600', 'prec': 127}], 'iso_label': 'h', 'iso_nlabel': 7, 'isodeg': [1], 'isogeny_matrix': [[1]], 'jinv': '-28339689/33280,19040273/33280', 'label': '2.0.4.1-16250.6-h1', 'local_data': [{'p': '(w+1)', 'cp': 17, 'kod': 21, 'red': 1, 'normp': 2, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 17, 'ord_den_j': 17}, {'p': '(-w-2)', 'cp': 3, 'kod': 4, 'red': 0, 'normp': 5, 'rootno': -1, 'ord_cond': 2, 'ord_disc': 4, 'ord_den_j': 0}, {'p': '(2*w+1)', 'cp': 4, 'kod': -5, 'red': 0, 'normp': 5, 'rootno': 1, 'ord_cond': 2, 'ord_disc': 7, '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}], 'minD': '(160000*w-9120000)', 'n_bad_primes': 4, 'ngens': 1, 'non_min_p': [], 'nonmax_primes': [], 'nonmax_rad': 1, 'normdisc': 83200000000000, 'number': 1, 'omega': {'__RealLiteral__': 0, 'data': '0.93970250679961364288574940241813822024', 'prec': 127}, 'potential_good_reduction': False, 'q_curve': False, 'rank': 1, 'rank_bounds': [1, 1], 'reducible_primes': [], 'reg': {'__RealLiteral__': 0, 'data': '0.011864458859296591119672573078343872600', 'prec': 127}, 'root_analytic_conductor': 2.0178175291010274, 'semistable': False, 'sha': 1, 'short_class_label': '16250.6-h', 'short_label': '16250.6-h1', 'signature': [0, 1], 'tamagawa_product': 204, 'torsion_gens': [], 'torsion_order': 1, 'torsion_primes': [], 'torsion_structure': [], 'trace_hash': 675016349627272288}