{"Lvalue": {"__RealLiteral__": 0, "data": "1.25871020580019", "prec": 54}, "abs_disc": 2304, "ainvs": "-1,-3,1,1;-3,-4,1,1;0,0,0,0;0,9,-1,-3;2,-3,-6,-2", "analytic_rank": 0, "bad_primes": ["(w^3-4*w+1)"], "base_change": [], "class_deg": 8, "class_label": "4.4.2304.1-64.1-c", "class_size": 6, "cm": 0, "cm_type": 0, "conductor_ideal": "(2*w^3-6*w)", "conductor_label": "64.1", "conductor_norm": 64, "conductor_norm_factors": [2], "degree": 4, "disc": "(8)", "equation": "{y}^2+\\left(a^{3}+a^{2}-3a-1\\right){x}{y}={x}^{3}+\\left(a^{3}+a^{2}-4a-3\\right){x}^{2}+\\left(-3a^{3}-a^{2}+9a\\right){x}-2a^{3}-6a^{2}-3a+2", "field_label": "4.4.2304.1", "galois_images": ["2Cs"], "gens": [], "heights": [], "iso_label": "c", "iso_nlabel": 2, "isodeg": [1, 2, 4], "isogeny_matrix": [[1, 4, 2, 4, 8, 8], [4, 1, 2, 4, 8, 8], [2, 2, 1, 2, 4, 4], [4, 4, 2, 1, 2, 2], [8, 8, 4, 2, 1, 4], [8, 8, 4, 2, 4, 1]], "jinv": "-62784,0,241408,0", "label": "4.4.2304.1-64.1-c3", "local_data": [{"p": "(w^3-4*w+1)", "cp": 2, "kod": -6, "red": 0, "normp": 2, "rootno": 1, "ord_cond": 6, "ord_disc": 12, "ord_den_j": 0}], "minD": "(8)", "n_bad_primes": 1, "ngens": 0, "non_min_p": [], "nonmax_primes": [2], "nonmax_rad": 2, "normdisc": 4096, "number": 3, "omega": {"__RealLiteral__": 0, "data": "483.34471902727347792137229895164107876", "prec": 130}, "potential_good_reduction": true, "q_curve": true, "rank": 0, "rank_bounds": [0, 0], "reducible_primes": [2], "reg": 1, "root_analytic_conductor": 7.213603836290249, "semistable": false, "sha": 1, "short_class_label": "64.1-c", "short_label": "64.1-c3", "signature": [4, 0], "tamagawa_product": 2, "torsion_gens": ["[[1,1,0,0],[1,2,-1,-1],[1,0,0,0]]", "[[2,-1,-1,0],[0,2,1,0],[1,0,0,0]]"], "torsion_order": 4, "torsion_primes": [2], "torsion_structure": [2, 2], "trace_hash": 104749796559337795}