Formats: - HTML - YAML - JSON - 2026-10-12T12:59:53.024808
  • ec_nfcurves • Show schema
    {'Lvalue': {'__RealLiteral__': 0, 'data': '2.2664216176561498707722014614119960309', 'prec': 127}, 'abs_disc': 4, 'ainvs': '1,1;-1,-1;1,1;184,-229;-2761,-2832', 'analytic_rank': 1, 'bad_primes': ['(w+1)', '(2*w+1)', '(2*w+3)'], 'base_change': [], 'class_deg': 18, 'class_label': '2.0.4.1-5200.6-b', 'class_size': 6, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(24*w-68)', 'conductor_label': '5200.6', 'conductor_norm': 5200, 'conductor_norm_factors': [2, 5, 13], 'degree': 2, 'disc': '(-5897742208*w+1957321856)', 'equation': '{y}^2+\\left(i+1\\right){x}{y}+\\left(i+1\\right){y}={x}^{3}+\\left(-i-1\\right){x}^{2}+\\left(-229i+184\\right){x}-2832i-2761', 'field_label': '2.0.4.1', 'galois_images': ['2B', '3Cs'], 'gens': ['[[1,14],[-35,30],[1,0]]'], 'heights': [{'__RealLiteral__': 0, 'data': '0.87917379626878819213582786080123459058', 'prec': 127}], 'iso_label': 'b', 'iso_nlabel': 1, 'isodeg': [1, 2, 3, 6], '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': '-19082395919017/301675562500,133816114442969/301675562500', 'label': '2.0.4.1-5200.6-b3', 'local_data': [{'p': '(w+1)', 'cp': 2, 'kod': -11, 'red': 0, 'normp': 2, 'rootno': 1, 'ord_cond': 4, 'ord_disc': 15, 'ord_den_j': 3}, {'p': '(2*w+1)', 'cp': 4, 'kod': -10, 'red': 0, 'normp': 5, 'rootno': 1, 'ord_cond': 2, 'ord_disc': 12, 'ord_den_j': 6}, {'p': '(2*w+3)', 'cp': 2, 'kod': 10, 'red': -1, 'normp': 13, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 6, 'ord_den_j': 6}], 'minD': '(1957321856*w+5897742208)', 'n_bad_primes': 3, 'ngens': 1, 'non_min_p': [], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'normdisc': 38614472000000000000, 'number': 3, 'omega': {'__RealLiteral__': 0, 'data': '0.32223742724061479914719837877549153367', 'prec': 127}, 'potential_good_reduction': False, 'q_curve': False, 'rank': 1, 'rank_bounds': [1, 1], 'reducible_primes': [2, 3], 'reg': {'__RealLiteral__': 0, 'data': '0.87917379626878819213582786080123459058', 'prec': 127}, 'root_analytic_conductor': 1.5176421682442536, 'semistable': False, 'sha': 1, 'short_class_label': '5200.6-b', 'short_label': '5200.6-b3', 'signature': [0, 1], 'tamagawa_product': 16, 'torsion_gens': ['[[13,21/2],[-7/4,-49/4],[1,0]]'], 'torsion_order': 2, 'torsion_primes': [2], 'torsion_structure': [2], 'trace_hash': 1122520343577936580}