Formats: - HTML - YAML - JSON - 2026-10-12T16:29:01.233022
  • ec_nfcurves • Show schema
    {'Lvalue': {'__RealLiteral__': 0, 'data': '1.1926084907397965306352638678164341406', 'prec': 127}, 'abs_disc': 4, 'ainvs': '1,0;0,1;0,0;21,107;-420,-190', 'analytic_rank': 1, 'bad_primes': ['(w+1)', '(2*w+1)', '(2*w+3)'], 'base_change': [], 'class_deg': 10, 'class_label': '2.0.4.1-1690.6-a', 'class_size': 4, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(3*w-41)', 'conductor_label': '1690.6', 'conductor_norm': 1690, 'conductor_norm_factors': [2, 5, 13], 'degree': 2, 'disc': '(1324*w-68)', 'equation': '{y}^2+{x}{y}={x}^{3}+i{x}^{2}+\\left(107i+21\\right){x}-190i-420', 'field_label': '2.0.4.1', 'galois_images': ['2B', '5B'], 'gens': ['[[4,-5],[-1,2],[1,0]]'], 'heights': [{'__RealLiteral__': 0, 'data': '0.37103590788780056932470758380319072433', 'prec': 127}], 'iso_label': 'a', 'iso_nlabel': 0, 'isodeg': [1, 2, 5, 10], 'isogeny_matrix': [[1, 2, 10, 5], [2, 1, 5, 10], [10, 5, 1, 2], [5, 10, 2, 1]], 'jinv': '17274394699/200,-12916359143/200', 'label': '2.0.4.1-1690.6-a4', 'local_data': [{'p': '(w+1)', 'cp': 1, 'kod': 9, 'red': -1, 'normp': 2, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 5, 'ord_den_j': 5}, {'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': 2, 'kod': 3, 'red': 0, 'normp': 13, 'rootno': -1, 'ord_cond': 2, 'ord_disc': 3, 'ord_den_j': 0}], 'minD': '(68*w+1324)', 'n_bad_primes': 3, 'ngens': 1, 'non_min_p': [], 'nonmax_primes': [2, 5], 'nonmax_rad': 10, 'normdisc': 1757600, 'number': 4, 'omega': {'__RealLiteral__': 0, 'data': '1.6071335218321180156136618724829714813', 'prec': 127}, 'potential_good_reduction': False, 'q_curve': False, 'rank': 1, 'rank_bounds': [1, 1], 'reducible_primes': [2, 5], 'reg': {'__RealLiteral__': 0, 'data': '0.37103590788780056932470758380319072433', 'prec': 127}, 'root_analytic_conductor': 1.1458828652311137, 'semistable': False, 'sha': 1, 'short_class_label': '1690.6-a', 'short_label': '1690.6-a4', 'signature': [0, 1], 'tamagawa_product': 4, 'torsion_gens': ['[[15/4,-5],[-15/8,5/2],[1,0]]'], 'torsion_order': 2, 'torsion_primes': [2], 'torsion_structure': [2], 'trace_hash': 1969592811192082888}