{"torsion_structure": [2, 4], "ainvs": "0,1;0,0;0,1;-97,0;346,0", "cm": 0, "torsion_gens": ["[[-3,6],[-6,1],[1,0]]", "[[5,0],[-2,-3],[1,0]]"], "number": 7, "rank": 0, "field_label": "2.2.8.1", "galois_images": ["2Cs"], "conductor_norm": 144, "abs_disc": 8, "iso_nlabel": 1, "rank_bounds": [0, 0], "conductor_ideal": "(12)", "base_change": ["48.a1", "192.b1"], "local_data": [{"p": "(w)", "cp": 4, "kod": -6, "red": 0, "normp": 2, "rootno": -1, "ord_cond": 4, "ord_disc": 10, "ord_den_j": 0}, {"p": "(3)", "cp": 2, "kod": 6, "red": 1, "normp": 9, "rootno": -1, "ord_cond": 1, "ord_disc": 2, "ord_den_j": 2}], "analytic_rank": 0, "minD": "(288)", "label": "2.2.8.1-144.1-b7", "jinv": "3065617154/9,0", "conductor_label": "144.1", "class_deg": 16, "reg": 1, "class_size": 8, "class_label": "2.2.8.1-144.1-b", "iso_label": "b", "degree": 2, "non_min_p": [], "q_curve": true, "short_label": "144.1-b7", "short_class_label": "144.1-b", "isogeny_matrix": [[1, 8, 16, 8, 4, 16, 2, 4], [8, 1, 8, 4, 2, 8, 4, 8], [16, 8, 1, 2, 4, 4, 8, 16], [8, 4, 2, 1, 2, 2, 4, 8], [4, 2, 4, 2, 1, 4, 2, 4], [16, 8, 4, 2, 4, 1, 8, 16], [2, 4, 8, 4, 2, 8, 1, 2], [4, 8, 16, 8, 4, 16, 2, 1]], "torsion_order": 8, "equation": "{y}^2+a{x}{y}+a{y}={x}^{3}-97{x}+346", "gens": [], "ngens": 0, "signature": [2, 0], "trace_hash": 506757767283366053, "heights": [], "isodeg": [1, 2, 4, 8], "omega": {"__RealLiteral__": 0, "data": "22.734034070006347604148590511773734758", "prec": 130}, "potential_good_reduction": false, "tamagawa_product": 8, "bad_primes": ["(w)", "(3)"], "Lvalue": {"__RealLiteral__": 0, "data": "1.0047118534142184299587942673228949529", "prec": 130}, "sha": 1, "torsion_primes": [2], "n_bad_primes": 2, "reducible_primes": [2], "semistable": false, "disc": "(288)", "normdisc": 82944, "conductor_norm_factors": [2, 3], "nonmax_primes": [2], "nonmax_rad": 2, "root_analytic_conductor": 0.8755363267188243, "cm_type": 0}