-
ec_nfcurves • Show schema
Hide schema
{'Lvalue': {'__RealLiteral__': 0, 'data': '2.7322089122549643531186346968677462312', 'prec': 130}, 'abs_disc': 4, 'ainvs': '1,1;0,1;0,0;-390,-270;2592,2944', 'analytic_rank': 1, 'bad_primes': ['(w+1)', '(-w-2)', '(2*w+1)', '(3)'], 'base_change': [], 'class_deg': 16, 'class_label': '2.0.4.1-16200.2-a', 'class_size': 10, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(90*w+90)', 'conductor_label': '16200.2', 'conductor_norm': 16200, 'conductor_norm_factors': [2, 3, 5], 'degree': 2, 'disc': '(-68234400*w-25660800)', 'equation': '{y}^2+\\left(i+1\\right){x}{y}={x}^{3}+i{x}^{2}+\\left(-270i-390\\right){x}+2944i+2592', 'field_label': '2.0.4.1', 'galois_images': ['2Cs'], 'gens': ['[[12,7],[2,-32],[1,0]]'], 'heights': [{'__RealLiteral__': 0, 'data': '1.3675225853260692720065319091861229947', 'prec': 130}], 'iso_label': 'a', 'iso_nlabel': 0, 'isodeg': [1, 2, 4, 8], 'isogeny_matrix': [[1, 4, 2, 8, 2, 4, 8, 8, 8, 2], [4, 1, 2, 2, 8, 4, 8, 8, 2, 8], [2, 2, 1, 4, 4, 2, 4, 4, 4, 4], [8, 2, 4, 1, 16, 8, 16, 16, 4, 16], [2, 8, 4, 16, 1, 8, 16, 16, 16, 4], [4, 4, 2, 8, 8, 1, 2, 2, 8, 8], [8, 8, 4, 16, 16, 2, 1, 4, 16, 16], [8, 8, 4, 16, 16, 2, 4, 1, 16, 16], [8, 2, 4, 4, 16, 8, 16, 16, 1, 16], [2, 8, 4, 16, 4, 8, 16, 16, 16, 1]], 'jinv': '-51700389912/390625,-35999730234/390625', 'label': '2.0.4.1-16200.2-a1', 'local_data': [{'p': '(w+1)', 'cp': 2, 'kod': -3, 'red': 0, 'normp': 2, 'rootno': 1, 'ord_cond': 3, 'ord_disc': 10, 'ord_den_j': 0}, {'p': '(-w-2)', 'cp': 2, 'kod': 12, 'red': -1, 'normp': 5, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 8, 'ord_den_j': 8}, {'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': '(3)', 'cp': 4, 'kod': -1, 'red': 0, 'normp': 9, 'rootno': 1, 'ord_cond': 2, 'ord_disc': 6, 'ord_den_j': 0}], 'minD': '(25660800*w-68234400)', 'n_bad_primes': 4, 'ngens': 1, 'non_min_p': [], 'nonmax_primes': [2], 'nonmax_rad': 2, 'normdisc': 5314410000000000, 'number': 1, 'omega': {'__RealLiteral__': 0, 'data': '0.49948149697350374669005962813115566301', 'prec': 133}, 'potential_good_reduction': False, 'q_curve': True, 'rank': 1, 'rank_bounds': [1, 1], 'reducible_primes': [2], 'reg': {'__RealLiteral__': 0, 'data': '1.3675225853260692720065319091861229947', 'prec': 130}, 'root_analytic_conductor': 2.0162635675872824, 'semistable': False, 'sha': 1, 'short_class_label': '16200.2-a', 'short_label': '16200.2-a1', 'signature': [0, 1], 'tamagawa_product': 32, 'torsion_gens': ['[[-24,-8],[8,16],[1,0]]', '[[12,5/2],[-19/4,-29/4],[1,0]]'], 'torsion_order': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2], 'trace_hash': 1432918406623101198}