{"torsion_structure": [2, 4], "ainvs": "1,0;-1,-1;0,1;-5,0;3,-3", "cm": 0, "torsion_gens": ["[[-2,1],[1,-1],[1,0]]", "[[1,-1],[-1,0],[1,0]]"], "number": 4, "rank": 0, "field_label": "2.2.5.1", "galois_images": ["2Cs"], "conductor_norm": 31, "abs_disc": 5, "iso_nlabel": 0, "rank_bounds": [0, 0], "conductor_ideal": "(5*w-3)", "base_change": [], "local_data": [{"p": "(5*w-3)", "cp": 2, "kod": 6, "red": -1, "normp": 31, "rootno": 1, "ord_cond": 1, "ord_disc": 2, "ord_den_j": 2}], "analytic_rank": 0, "minD": "(5*w-34)", "label": "2.2.5.1-31.2-a4", "jinv": "14629102793/961,-9029272560/961", "conductor_label": "31.2", "class_deg": 8, "reg": 1, "class_size": 6, "class_label": "2.2.5.1-31.2-a", "iso_label": "a", "degree": 2, "non_min_p": [], "q_curve": false, "short_label": "31.2-a4", "short_class_label": "31.2-a", "isogeny_matrix": [[1, 8, 8, 4, 2, 4], [8, 1, 4, 2, 4, 8], [8, 4, 1, 2, 4, 8], [4, 2, 2, 1, 2, 4], [2, 4, 4, 2, 1, 2], [4, 8, 8, 4, 2, 1]], "torsion_order": 8, "equation": "{y}^2+{x}{y}+\\phi{y}={x}^{3}+\\left(-\\phi-1\\right){x}^{2}-5{x}-3\\phi+3", "gens": [], "ngens": 0, "signature": [2, 0], "trace_hash": 1503589726268104938, "heights": [], "isodeg": [1, 2, 4], "omega": {"__RealLiteral__": 0, "data": "25.754419856268313362302306365771535195", "prec": 130}, "potential_good_reduction": false, "tamagawa_product": 2, "bad_primes": ["(5*w-3)"], "Lvalue": {"__RealLiteral__": 0, "data": "0.35992895949803944944002575466348575048", "prec": 133}, "sha": 1, "torsion_primes": [2], "n_bad_primes": 1, "reducible_primes": [2], "semistable": true, "disc": "(-5*w+34)", "normdisc": 961, "conductor_norm_factors": [31], "nonmax_primes": [2], "nonmax_rad": 2, "root_analytic_conductor": 0.4714807645767404, "cm_type": 0}