{"Lvalue": {"__RealLiteral__": 0, "data": "0.29236646593300151539140377191827674932", "prec": 133}, "abs_disc": 81, "ainvs": "0,1,0;-1,0,0;-1,0,1;-360486,-43189,125040;-161952511,-19527401,56242078", "analytic_rank": 0, "bad_primes": ["(2)"], "base_change": ["162.c2"], "class_deg": 21, "class_label": "3.3.81.1-8.1-a", "class_size": 4, "cm": 0, "cm_type": 0, "conductor_ideal": "(2)", "conductor_label": "8.1", "conductor_norm": 8, "conductor_norm_factors": [2], "degree": 3, "disc": "(-2097152)", "equation": "{y}^2+a{x}{y}+\\left(a^{2}-1\\right){y}={x}^{3}-{x}^{2}+\\left(125040a^{2}-43189a-360486\\right){x}+56242078a^{2}-19527401a-161952511", "field_label": "3.3.81.1", "galois_images": ["3B.1.1", "7B.1.3"], "gens": [], "heights": [], "iso_label": "a", "iso_nlabel": 0, "isodeg": [1, 3, 7, 21], "isogeny_matrix": [[1, 7, 3, 21], [7, 1, 21, 3], [3, 21, 1, 7], [21, 3, 7, 1]], "jinv": "-1159088625/2097152,0,0", "label": "3.3.81.1-8.1-a2", "local_data": [{"p": "(2)", "cp": 21, "kod": 25, "red": 1, "normp": 8, "rootno": -1, "ord_cond": 1, "ord_disc": 21, "ord_den_j": 21}], "minD": "(2097152)", "n_bad_primes": 1, "ngens": 0, "non_min_p": [], "nonmax_primes": [3, 7], "nonmax_rad": 21, "normdisc": -9223372036854775808, "number": 2, "omega": {"__RealLiteral__": 0, "data": "1.1276992257415772736525574059704960331", "prec": 130}, "potential_good_reduction": false, "q_curve": true, "rank": 0, "rank_bounds": [0, 0], "reducible_primes": [3, 7], "reg": 1, "root_analytic_conductor": 1.137355051311921, "semistable": true, "sha": 1, "short_class_label": "8.1-a", "short_label": "8.1-a2", "signature": [3, 0], "tamagawa_product": 21, "torsion_gens": ["[[3601/3,125,-1219/3],[-94685/3,-11812/3,33091/3],[1,0,0]]"], "torsion_order": 3, "torsion_primes": [3], "torsion_structure": [3], "trace_hash": 1728148433911072911}