{"torsion_structure": [], "ainvs": "1,1;1,-1;1,0;-1287,311;-26012,6283", "cm": 0, "torsion_gens": [], "number": 1, "rank": 0, "field_label": "2.2.53.1", "galois_images": ["5B.1.2"], "conductor_norm": 4, "abs_disc": 53, "iso_nlabel": 1, "rank_bounds": [0, 0], "conductor_ideal": "(2)", "base_change": [], "local_data": [{"p": "(2)", "cp": 2, "kod": 14, "red": -1, "normp": 4, "rootno": 1, "ord_cond": 1, "ord_disc": 10, "ord_den_j": 10}], "analytic_rank": 0, "minD": "(1024)", "label": "2.2.53.1-4.1-b1", "jinv": "-9814089221/1024,0", "conductor_label": "4.1", "class_deg": 5, "reg": 1, "class_size": 2, "class_label": "2.2.53.1-4.1-b", "iso_label": "b", "degree": 2, "non_min_p": [], "q_curve": true, "short_label": "4.1-b1", "short_class_label": "4.1-b", "isogeny_matrix": [[1, 5], [5, 1]], "torsion_order": 1, "equation": "{y}^2+\\left(a+1\\right){x}{y}+{y}={x}^{3}+\\left(-a+1\\right){x}^{2}+\\left(311a-1287\\right){x}+6283a-26012", "gens": [], "ngens": 0, "signature": [2, 0], "trace_hash": 2230321594885525632, "heights": [], "isodeg": [1, 5], "omega": {"__RealLiteral__": 0, "data": "0.85319041090578746195882547679679911247", "prec": 133}, "potential_good_reduction": false, "tamagawa_product": 2, "bad_primes": ["(2)"], "Lvalue": {"__RealLiteral__": 0, "data": "0.93755772798106147141475400149491188988", "prec": 133}, "sha": 4, "torsion_primes": [], "n_bad_primes": 1, "reducible_primes": [5], "semistable": true, "disc": "(-1024)", "normdisc": 1048576, "conductor_norm_factors": [2], "nonmax_primes": [5], "nonmax_rad": 5, "root_analytic_conductor": 0.9200077507421186, "cm_type": 0}