{"torsion_structure": [3], "ainvs": "-1,4,8,-7,-4,2;-4,-3,7,3,-2,0;-3,5,12,-10,-6,3;0,-3,-9,9,6,-3;-1,1,-4,3,2,-1", "cm": 0, "torsion_gens": ["[[0,0,4,-3,-2,1],[1,-4,-4,4,2,-1],[1,0,0,0,0,0]]"], "number": 2, "rank": 0, "field_label": "6.6.434581.1", "galois_images": ["3B.1.1"], "conductor_norm": 71, "abs_disc": 434581, "iso_nlabel": 1, "rank_bounds": [0, 0], "conductor_ideal": "(2*w^5-6*w^4-4*w^3+17*w^2-w-6)", "base_change": [], "local_data": [{"p": "(2*w^5-6*w^4-4*w^3+17*w^2-w-6)", "cp": 1, "kod": 5, "red": -1, "normp": 71, "rootno": 1, "ord_cond": 1, "ord_disc": 1, "ord_den_j": 1}], "analytic_rank": 0, "minD": "(2*w^5-6*w^4-4*w^3+17*w^2-w-6)", "label": "6.6.434581.1-71.1-b2", "jinv": "-18566036/71,4849167/71,37562313/71,-14298038/71,-13681584/71,5253651/71", "conductor_label": "71.1", "class_deg": 3, "reg": 1, "class_size": 2, "class_label": "6.6.434581.1-71.1-b", "iso_label": "b", "degree": 6, "non_min_p": [], "q_curve": false, "short_label": "71.1-b2", "short_class_label": "71.1-b", "isogeny_matrix": [[1, 3], [3, 1]], "torsion_order": 3, "equation": "{y}^2+\\left(2a^{5}-4a^{4}-7a^{3}+8a^{2}+4a-1\\right){x}{y}+\\left(3a^{5}-6a^{4}-10a^{3}+12a^{2}+5a-3\\right){y}={x}^{3}+\\left(-2a^{4}+3a^{3}+7a^{2}-3a-4\\right){x}^{2}+\\left(-3a^{5}+6a^{4}+9a^{3}-9a^{2}-3a\\right){x}-a^{5}+2a^{4}+3a^{3}-4a^{2}+a-1", "gens": [], "ngens": 0, "signature": [6, 0], "trace_hash": 1693146885501223443, "heights": [], "isodeg": [1, 3], "omega": {"__RealLiteral__": 0, "data": "6650.5661605952983785649194287110408743", "prec": 130}, "potential_good_reduction": false, "tamagawa_product": 1, "bad_primes": ["(2*w^5-6*w^4-4*w^3+17*w^2-w-6)"], "Lvalue": {"__RealLiteral__": 0, "data": "1.12094", "prec": 24}, "sha": 1, "torsion_primes": [3], "n_bad_primes": 1, "reducible_primes": [3], "semistable": true, "disc": "(2*w^5-5*w^4-5*w^3+11*w^2+w-4)", "normdisc": 71, "conductor_norm_factors": [71], "nonmax_primes": [3], "nonmax_rad": 3, "root_analytic_conductor": 84.03214510986909, "cm_type": 0}