{"torsion_structure": [2, 2], "ainvs": "0,0;1,0;0,0;-41,0;-116,0", "cm": 0, "torsion_gens": ["[[4,-5],[0,0],[1,0]]", "[[-4,0],[0,0],[1,0]]"], "number": 6, "rank": 0, "field_label": "2.2.5.1", "galois_images": ["2Cs", "3B.1.2"], "conductor_norm": 80, "abs_disc": 5, "iso_nlabel": 0, "rank_bounds": [0, 0], "conductor_ideal": "(-8*w+4)", "base_change": ["20.a1", "100.a1"], "local_data": [{"p": "(-2*w+1)", "cp": 2, "kod": 10, "red": -1, "normp": 5, "rootno": 1, "ord_cond": 1, "ord_disc": 6, "ord_den_j": 6}, {"p": "(2)", "cp": 3, "kod": 4, "red": 0, "normp": 4, "rootno": 1, "ord_cond": 2, "ord_disc": 4, "ord_den_j": 0}], "analytic_rank": 0, "minD": "(2000)", "label": "2.2.5.1-80.1-a6", "jinv": "488095744/125,0", "conductor_label": "80.1", "class_deg": 12, "reg": 1, "class_size": 8, "class_label": "2.2.5.1-80.1-a", "iso_label": "a", "degree": 2, "non_min_p": [], "q_curve": true, "short_label": "80.1-a6", "short_class_label": "80.1-a", "isogeny_matrix": [[1, 3, 4, 6, 12, 2, 12, 4], [3, 1, 12, 2, 4, 6, 4, 12], [4, 12, 1, 6, 12, 2, 3, 4], [6, 2, 6, 1, 2, 3, 2, 6], [12, 4, 12, 2, 1, 6, 4, 3], [2, 6, 2, 3, 6, 1, 6, 2], [12, 4, 3, 2, 4, 6, 1, 12], [4, 12, 4, 6, 3, 2, 12, 1]], "torsion_order": 4, "equation": "{y}^2={x}^{3}+{x}^{2}-41{x}-116", "gens": [], "ngens": 0, "signature": [2, 0], "trace_hash": 1274318236922420346, "heights": [], "isodeg": [1, 2, 3, 6], "omega": {"__RealLiteral__": 0, "data": "3.5453755300073618787662430888657548036", "prec": 130}, "potential_good_reduction": false, "tamagawa_product": 6, "bad_primes": ["(-2*w+1)", "(2)"], "Lvalue": {"__RealLiteral__": 0, "data": "0.59457755181456049733689837675530406909", "prec": 133}, "sha": 1, "torsion_primes": [2], "n_bad_primes": 2, "reducible_primes": [2, 3], "semistable": false, "disc": "(2000)", "normdisc": 4000000, "conductor_norm_factors": [2, 5], "nonmax_primes": [2, 3], "nonmax_rad": 6, "root_analytic_conductor": 0.597579997908681, "cm_type": 0}