{"torsion_structure": [], "ainvs": "1,0;1,1;0,0;-240,77;-1811,568", "cm": 0, "torsion_gens": [], "number": 1, "rank": 1, "field_label": "2.2.29.1", "galois_images": ["5B"], "conductor_norm": 13, "abs_disc": 29, "iso_nlabel": 0, "rank_bounds": [1, 1], "conductor_ideal": "(w-5)", "base_change": [], "local_data": [{"p": "(w-5)", "cp": 1, "kod": 5, "red": 1, "normp": 13, "rootno": -1, "ord_cond": 1, "ord_disc": 1, "ord_den_j": 1}], "analytic_rank": 1, "minD": "(w-5)", "label": "2.2.29.1-13.2-a1", "jinv": "-13827318555/13,-6367743011/13", "conductor_label": "13.2", "class_deg": 5, "reg": {"__RealLiteral__": 0, "data": "0.14501137345823476280643276129116198808", "prec": 133}, "class_size": 2, "class_label": "2.2.29.1-13.2-a", "iso_label": "a", "degree": 2, "non_min_p": [], "q_curve": false, "short_label": "13.2-a1", "short_class_label": "13.2-a", "isogeny_matrix": [[1, 5], [5, 1]], "torsion_order": 1, "equation": "{y}^2+{x}{y}={x}^{3}+\\left(a+1\\right){x}^{2}+\\left(77a-240\\right){x}+568a-1811", "gens": ["[[-7,2],[3,-1],[1,0]]"], "ngens": 1, "signature": [2, 0], "trace_hash": 1640897767947072547, "heights": [{"__RealLiteral__": 0, "data": "0.14501137345823476280643276129116198808", "prec": 133}], "isodeg": [1, 5], "omega": {"__RealLiteral__": 0, "data": "18.799115550203823344417406496436932820", "prec": 130}, "potential_good_reduction": false, "tamagawa_product": 1, "bad_primes": ["(w-5)"], "Lvalue": {"__RealLiteral__": 0, "data": "1.0124427620575238939713735991419793217", "prec": 130}, "sha": 1, "torsion_primes": [], "n_bad_primes": 1, "reducible_primes": [5], "semistable": true, "disc": "(w-5)", "normdisc": -13, "conductor_norm_factors": [13], "nonmax_primes": [5], "nonmax_rad": 5, "root_analytic_conductor": 0.9137415852838293, "cm_type": 0}