{"torsion_structure": [8], "ainvs": "1,0;1,0;1,0;-80,0;242,0", "cm": 0, "torsion_gens": ["[[8,-2],[-19,10],[1,0]]"], "number": 8, "rank": 0, "field_label": "2.2.5.1", "galois_images": ["2B"], "conductor_norm": 45, "abs_disc": 5, "iso_nlabel": 0, "rank_bounds": [0, 0], "conductor_ideal": "(-6*w+3)", "base_change": ["15.a4", "75.b4"], "local_data": [{"p": "(-2*w+1)", "cp": 2, "kod": 6, "red": 1, "normp": 5, "rootno": -1, "ord_cond": 1, "ord_disc": 2, "ord_den_j": 2}, {"p": "(3)", "cp": 1, "kod": 5, "red": 1, "normp": 9, "rootno": -1, "ord_cond": 1, "ord_disc": 1, "ord_den_j": 1}], "analytic_rank": 0, "minD": "(15)", "label": "2.2.5.1-45.1-a8", "jinv": "56667352321/15,0", "conductor_label": "45.1", "class_deg": 32, "reg": 1, "class_size": 10, "class_label": "2.2.5.1-45.1-a", "iso_label": "a", "degree": 2, "non_min_p": [], "q_curve": true, "short_label": "45.1-a8", "short_class_label": "45.1-a", "isogeny_matrix": [[1, 8, 32, 16, 8, 16, 4, 32, 2, 4], [8, 1, 16, 8, 4, 8, 2, 16, 4, 8], [32, 16, 1, 8, 4, 2, 8, 4, 16, 32], [16, 8, 8, 1, 2, 4, 4, 8, 8, 16], [8, 4, 4, 2, 1, 2, 2, 4, 4, 8], [16, 8, 2, 4, 2, 1, 4, 2, 8, 16], [4, 2, 8, 4, 2, 4, 1, 8, 2, 4], [32, 16, 4, 8, 4, 2, 8, 1, 16, 32], [2, 4, 16, 8, 4, 8, 2, 16, 1, 2], [4, 8, 32, 16, 8, 16, 4, 32, 2, 1]], "torsion_order": 8, "equation": "{y}^2+{x}{y}+{y}={x}^{3}+{x}^{2}-80{x}+242", "gens": [], "ngens": 0, "signature": [2, 0], "trace_hash": 432638963021051233, "heights": [], "isodeg": [1, 2, 4, 8, 16, 32], "omega": {"__RealLiteral__": 0, "data": "31.387022115061449199898491105842311300", "prec": 130}, "potential_good_reduction": false, "tamagawa_product": 2, "bad_primes": ["(-2*w+1)", "(3)"], "Lvalue": {"__RealLiteral__": 0, "data": "0.43864696912854141373237418324187134125", "prec": 133}, "sha": 1, "torsion_primes": [2], "n_bad_primes": 2, "reducible_primes": [2], "semistable": true, "disc": "(15)", "normdisc": 225, "conductor_norm_factors": [3, 5], "nonmax_primes": [2], "nonmax_rad": 2, "root_analytic_conductor": 0.5175194589823695, "cm_type": 0}