{"torsion_structure": [], "ainvs": "0,0;0,0;1,0;-5,1;-10,2", "cm": 0, "torsion_gens": [], "number": 1, "rank": 0, "field_label": "2.2.77.1", "galois_images": ["3Nn"], "conductor_norm": 25, "abs_disc": 77, "iso_nlabel": 1, "rank_bounds": [0, 0], "conductor_ideal": "(5)", "base_change": [], "local_data": [{"p": "(5)", "cp": 1, "kod": 7, "red": -1, "normp": 25, "rootno": 1, "ord_cond": 1, "ord_disc": 3, "ord_den_j": 3}], "analytic_rank": 0, "minD": "(125)", "label": "2.2.77.1-25.1-b1", "jinv": "-110592/125,0", "conductor_label": "25.1", "class_deg": 1, "reg": 1, "class_size": 1, "class_label": "2.2.77.1-25.1-b", "iso_label": "b", "degree": 2, "non_min_p": [], "q_curve": true, "short_label": "25.1-b1", "short_class_label": "25.1-b", "isogeny_matrix": [[1]], "torsion_order": 1, "equation": "{y}^2+{y}={x}^{3}+\\left(a-5\\right){x}+2a-10", "gens": [], "ngens": 0, "signature": [2, 0], "trace_hash": 798697102905744370, "heights": [], "isodeg": [1], "omega": {"__RealLiteral__": 0, "data": "12.177912944252077591954427562829108336", "prec": 130}, "potential_good_reduction": false, "tamagawa_product": 1, "bad_primes": ["(5)"], "Lvalue": {"__RealLiteral__": 0, "data": "1.3878019792022535783806567642170312853", "prec": 130}, "sha": 1, "torsion_primes": [], "n_bad_primes": 1, "reducible_primes": [], "semistable": true, "disc": "(-125)", "normdisc": 15625, "conductor_norm_factors": [5], "nonmax_primes": [3], "nonmax_rad": 3, "root_analytic_conductor": 1.7533512134821407, "cm_type": 0}