{"torsion_structure": [], "ainvs": "0,0;0,1;0,1;-8134,1445;411269,-73135", "cm": 0, "torsion_gens": [], "number": 1, "rank": 1, "field_label": "2.2.105.1", "galois_images": ["3B"], "conductor_norm": 35, "abs_disc": 105, "iso_nlabel": 2, "rank_bounds": [1, 1], "conductor_ideal": "(35,w+17)", "base_change": ["245.c1", "1575.f1"], "local_data": [{"p": "(2,w)", "cp": 1, "kod": 1, "red": null, "normp": 2, "rootno": 1, "ord_cond": 0, "ord_disc": 0, "ord_den_j": 0}, {"p": "(2*w-11)", "cp": 18, "kod": 22, "red": 1, "normp": 5, "rootno": -1, "ord_cond": 1, "ord_disc": 18, "ord_den_j": 18}, {"p": "(7,w+3)", "cp": 2, "kod": 6, "red": -1, "normp": 7, "rootno": 1, "ord_cond": 1, "ord_disc": 2, "ord_den_j": 2}], "analytic_rank": 1, "minD": "(13671875)", "label": "2.2.105.1-35.1-c1", "jinv": "-250523582464/13671875,0", "conductor_label": "35.1", "class_deg": 9, "reg": {"__RealLiteral__": 0, "data": "0.0408197557961083", "prec": 60}, "class_size": 3, "class_label": "2.2.105.1-35.1-c", "iso_label": "c", "degree": 2, "non_min_p": ["(2,w)"], "q_curve": true, "short_label": "35.1-c1", "short_class_label": "35.1-c", "isogeny_matrix": [[1, 9, 3], [9, 1, 3], [3, 3, 1]], "torsion_order": 1, "non-surjective_primes": [3], "equation": "{y}^2+a{y}={x}^{3}+a{x}^{2}+\\left(1445a-8134\\right){x}-73135a+411269", "gens": ["[[34,-6],[125,-23],[1,0]]"], "ngens": 1, "signature": [2, 0], "trace_hash": 419676007444408882, "heights": [{"__RealLiteral__": 0, "data": "0.0408197557961083", "prec": 60}], "isodeg": [1, 3, 9], "omega": {"__RealLiteral__": 0, "data": "4.86222025956892", "prec": 54}, "potential_good_reduction": false, "tamagawa_product": 36, "bad_primes": ["(2*w-11)", "(7,w+3)"], "Lvalue": {"__RealLiteral__": 0, "data": "1.39457821816530", "prec": 54}, "sha": 1, "torsion_primes": [], "n_bad_primes": 2, "reducible_primes": [3], "semistable": true, "disc": "(259765625*w-1722656250)", "normdisc": 765625000000000000, "conductor_norm_factors": [5, 7], "nonmax_primes": [3], "nonmax_rad": 3, "root_analytic_conductor": 2.22715382612876, "cm_type": 0}