{"torsion_structure": [6], "ainvs": "0,0;0,-1;0,0;41,-41;-116,0", "cm": 0, "torsion_gens": ["[[0,1],[5,-10],[1,0]]"], "number": 4, "rank": 0, "field_label": "2.0.3.1", "galois_images": ["2B", "3B.1.1[2]"], "conductor_norm": 400, "abs_disc": 3, "iso_nlabel": 0, "rank_bounds": [0, 0], "conductor_ideal": "(20)", "base_change": ["20.a1", "180.a1"], "local_data": [{"p": "(2)", "cp": 3, "kod": 4, "red": 0, "normp": 4, "rootno": 1, "ord_cond": 2, "ord_disc": 4, "ord_den_j": 0}, {"p": "(5)", "cp": 3, "kod": 7, "red": 1, "normp": 25, "rootno": -1, "ord_cond": 1, "ord_disc": 3, "ord_den_j": 3}], "analytic_rank": 0, "minD": "(2000)", "label": "2.0.3.1-400.1-a4", "jinv": "488095744/125,0", "conductor_label": "400.1", "class_deg": 6, "reg": 1, "class_size": 4, "class_label": "2.0.3.1-400.1-a", "iso_label": "a", "degree": 2, "non_min_p": [], "q_curve": true, "short_label": "400.1-a4", "short_class_label": "400.1-a", "isogeny_matrix": [[1, 3, 6, 2], [3, 1, 2, 6], [6, 2, 1, 3], [2, 6, 3, 1]], "torsion_order": 6, "equation": "{y}^2={x}^{3}-a{x}^{2}+\\left(-41a+41\\right){x}-116", "gens": [], "ngens": 0, "signature": [0, 1], "trace_hash": 67469822030195675, "heights": [], "isodeg": [1, 2, 3, 6], "omega": {"__RealLiteral__": 0, "data": "2.1410318856267100583891480650798832462", "prec": 130}, "potential_good_reduction": false, "tamagawa_product": 9, "bad_primes": ["(2)", "(5)"], "Lvalue": {"__RealLiteral__": 0, "data": "0.61806266775507654697320481463293639461", "prec": 133}, "sha": 1, "torsion_primes": [2, 3], "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": 0.6921722416622054, "cm_type": 0}