-
ec_nfcurves • Show schema
Hide schema
{'Lvalue': {'__RealLiteral__': 0, 'data': '6.1695287775182601686499565680088645650', 'prec': 130}, 'abs_disc': 3, 'ainvs': '0,0;0,0;0,0;3,-36;-47,84', 'analytic_rank': 2, 'bad_primes': ['(-2*w+1)', '(-6*w+1)', '(6*w-5)', '(2)'], 'base_change': [], 'class_deg': 3, 'class_label': '2.0.3.1-138384.2-b', 'class_size': 2, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(372)', 'conductor_label': '138384.2', 'conductor_norm': 138384, 'conductor_norm_factors': [2, 3, 31], 'degree': 2, 'disc': '(-321408*w-147312)', 'equation': '{y}^2={x}^{3}+\\left(-36a+3\\right){x}+84a-47', 'field_label': '2.0.3.1', 'galois_images': ['3B.1.1[2]'], 'gens': ['[[1,-1],[0,-9],[1,0]]', '[[1,4],[-5,6],[1,0]]'], 'heights': [{'__RealLiteral__': 0, 'data': '1.2510842975811834387540865657497474871', 'prec': 130}, {'__RealLiteral__': 0, 'data': '1.1868364784358381697913212721369349892', 'prec': 130}], 'iso_label': 'b', 'iso_nlabel': 1, 'isodeg': [1, 3], 'isogeny_matrix': [[1, 3], [3, 1]], 'jinv': '379461888/29791,-185048064/29791', 'label': '2.0.3.1-138384.2-b2', 'local_data': [{'p': '(-2*w+1)', 'cp': 2, 'kod': -1, 'red': 0, 'normp': 3, 'rootno': -1, 'ord_cond': 2, 'ord_disc': 6, 'ord_den_j': 0}, {'p': '(-6*w+1)', 'cp': 1, 'kod': 5, 'red': 1, 'normp': 31, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 1, 'ord_den_j': 1}, {'p': '(6*w-5)', 'cp': 3, 'kod': 7, 'red': 1, 'normp': 31, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 3, 'ord_den_j': 3}, {'p': '(2)', 'cp': 3, 'kod': 4, 'red': 0, 'normp': 4, 'rootno': 1, 'ord_cond': 2, 'ord_disc': 4, 'ord_den_j': 0}], 'minD': '(468720*w-321408)', 'n_bad_primes': 4, 'ngens': 2, 'non_min_p': [], 'nonmax_primes': [3], 'nonmax_rad': 3, 'normdisc': 172351183104, 'number': 2, 'omega': {'__RealLiteral__': 0, 'data': '1.4399027734667504931017995439495102183', 'prec': 130}, 'potential_good_reduction': False, 'q_curve': True, 'rank': 2, 'rank_bounds': [2, 2], 'reducible_primes': [3], 'reg': {'__RealLiteral__': 0, 'data': '0.46383067915812151697601387049061572289', 'prec': 133}, 'root_analytic_conductor': 2.9851808765257246, 'semistable': False, 'sha': 1, 'short_class_label': '138384.2-b', 'short_label': '138384.2-b2', 'signature': [0, 1], 'tamagawa_product': 18, 'torsion_gens': ['[[3,0],[-5,6],[1,0]]'], 'torsion_order': 3, 'torsion_primes': [3], 'torsion_structure': [3], 'trace_hash': 487843035274065486}