{"torsion_structure": [], "ainvs": "0,1;0,0;0,1;-125,0;552,0", "cm": 0, "torsion_gens": [], "number": 1, "rank": 1, "field_label": "2.0.4.1", "galois_images": ["3B.1.2", "5B.1.3"], "conductor_norm": 1250, "abs_disc": 4, "iso_nlabel": 0, "rank_bounds": [1, 1], "conductor_ideal": "(25*w+25)", "base_change": ["50.a1", "400.d1"], "local_data": [{"p": "(w+1)", "cp": 2, "kod": 10, "red": -1, "normp": 2, "rootno": 1, "ord_cond": 1, "ord_disc": 6, "ord_den_j": 6}, {"p": "(-w-2)", "cp": 1, "kod": 4, "red": 0, "normp": 5, "rootno": -1, "ord_cond": 2, "ord_disc": 4, "ord_den_j": 0}, {"p": "(2*w+1)", "cp": 1, "kod": 4, "red": 0, "normp": 5, "rootno": -1, "ord_cond": 2, "ord_disc": 4, "ord_den_j": 0}], "analytic_rank": 1, "minD": "(5000)", "label": "2.0.4.1-1250.3-a1", "jinv": "-349938025/8,0", "conductor_label": "1250.3", "class_deg": 15, "reg": {"__RealLiteral__": 0, "data": "0.19469762956194260255806302010810191105", "prec": 133}, "class_size": 4, "class_label": "2.0.4.1-1250.3-a", "iso_label": "a", "degree": 2, "non_min_p": [], "q_curve": true, "short_label": "1250.3-a1", "short_class_label": "1250.3-a", "isogeny_matrix": [[1, 15, 3, 5], [15, 1, 5, 3], [3, 5, 1, 15], [5, 3, 15, 1]], "torsion_order": 1, "equation": "{y}^2+i{x}{y}+i{y}={x}^{3}-125{x}+552", "gens": ["[[7,0],[-2,-4],[1,0]]"], "ngens": 1, "signature": [0, 1], "trace_hash": 1189947366127361382, "heights": [{"__RealLiteral__": 0, "data": "0.19469762956194260255806302010810191105", "prec": 133}], "isodeg": [1, 3, 5, 15], "omega": {"__RealLiteral__": 0, "data": "1.4241667468189884754547775645314939181", "prec": 130}, "potential_good_reduction": false, "tamagawa_product": 2, "bad_primes": ["(w+1)", "(-w-2)", "(2*w+1)"], "Lvalue": {"__RealLiteral__": 0, "data": "1.1091275588264012661339291652363297942", "prec": 130}, "sha": 1, "torsion_primes": [], "n_bad_primes": 3, "reducible_primes": [3, 5], "semistable": false, "disc": "(-5000)", "normdisc": 25000000, "conductor_norm_factors": [2, 5], "nonmax_primes": [3, 5], "nonmax_rad": 15, "root_analytic_conductor": 1.0626642061321099, "cm_type": 0}