{"torsion_structure": [2], "ainvs": "0,0;1,0;0,0;1,0;0,0", "cm": 0, "torsion_gens": ["[[0,0],[0,0],[1,0]]"], "number": 2, "rank": 0, "field_label": "2.2.24.1", "galois_images": ["2B"], "conductor_norm": 48, "abs_disc": 24, "iso_nlabel": 1, "rank_bounds": [0, 0], "conductor_ideal": "(4*w+12)", "base_change": ["48.a5", "576.d5"], "local_data": [{"p": "(-w+2)", "cp": 1, "kod": -1, "red": 0, "normp": 2, "rootno": -1, "ord_cond": 4, "ord_disc": 8, "ord_den_j": 0}, {"p": "(w+3)", "cp": 2, "kod": 6, "red": 1, "normp": 3, "rootno": -1, "ord_cond": 1, "ord_disc": 2, "ord_den_j": 2}], "analytic_rank": 0, "minD": "(48)", "label": "2.2.24.1-48.1-b2", "jinv": "2048/3,0", "conductor_label": "48.1", "class_deg": 8, "reg": 1, "class_size": 6, "class_label": "2.2.24.1-48.1-b", "iso_label": "b", "degree": 2, "non_min_p": [], "q_curve": true, "short_label": "48.1-b2", "short_class_label": "48.1-b", "isogeny_matrix": [[1, 8, 4, 2, 8, 4], [8, 1, 2, 4, 4, 8], [4, 2, 1, 2, 2, 4], [2, 4, 2, 1, 4, 2], [8, 4, 2, 4, 1, 8], [4, 8, 4, 2, 8, 1]], "torsion_order": 2, "equation": "{y}^2={x}^{3}+{x}^{2}+{x}", "gens": [], "ngens": 0, "signature": [2, 0], "trace_hash": 954475901113591440, "heights": [], "isodeg": [1, 2, 4, 8], "omega": {"__RealLiteral__": 0, "data": "11.367017035003173802074295255886867379", "prec": 130}, "potential_good_reduction": false, "tamagawa_product": 2, "bad_primes": ["(-w+2)", "(w+3)"], "Lvalue": {"__RealLiteral__": 0, "data": "1.1601413180534136645530850446401178325", "prec": 130}, "sha": 1, "torsion_primes": [2], "n_bad_primes": 2, "reducible_primes": [2], "semistable": false, "disc": "(-48)", "normdisc": 2304, "conductor_norm_factors": [2, 3], "nonmax_primes": [2], "nonmax_rad": 2, "root_analytic_conductor": 1.1522706069905277, "cm_type": 0}