{"torsion_structure": [], "ainvs": "1,1;-1,1;0,0;-666,-273;-13522,-5520", "cm": 0, "torsion_gens": [], "number": 2, "rank": 0, "field_label": "2.2.24.1", "galois_images": ["3B.1.2"], "conductor_norm": 162, "abs_disc": 24, "iso_nlabel": 0, "rank_bounds": [0, 0], "conductor_ideal": "(-9*w+18)", "base_change": ["54.a1", "1728.z2"], "local_data": [{"p": "(-w+2)", "cp": 2, "kod": 22, "red": -1, "normp": 2, "rootno": 1, "ord_cond": 1, "ord_disc": 18, "ord_den_j": 18}, {"p": "(w+3)", "cp": 3, "kod": -4, "red": 0, "normp": 3, "rootno": 1, "ord_cond": 4, "ord_disc": 10, "ord_den_j": 0}], "analytic_rank": 0, "minD": "(124416)", "label": "2.2.24.1-162.1-a2", "jinv": "-1167051/512,0", "conductor_label": "162.1", "class_deg": 9, "reg": 1, "class_size": 3, "class_label": "2.2.24.1-162.1-a", "iso_label": "a", "degree": 2, "non_min_p": [], "q_curve": true, "short_label": "162.1-a2", "short_class_label": "162.1-a", "isogeny_matrix": [[1, 9, 3], [9, 1, 3], [3, 3, 1]], "torsion_order": 1, "equation": "{y}^2+\\left(a+1\\right){x}{y}={x}^{3}+\\left(a-1\\right){x}^{2}+\\left(-273a-666\\right){x}-5520a-13522", "gens": [], "ngens": 0, "signature": [2, 0], "trace_hash": 1913733772330820238, "heights": [], "isodeg": [1, 3, 9], "omega": {"__RealLiteral__": 0, "data": "1.4766217065852464803841769684870527573", "prec": 130}, "potential_good_reduction": false, "tamagawa_product": 6, "bad_primes": ["(-w+2)", "(w+3)"], "Lvalue": {"__RealLiteral__": 0, "data": "1.8084848621257764410814535319322358111", "prec": 130}, "sha": 1, "torsion_primes": [], "n_bad_primes": 2, "reducible_primes": [3], "semistable": false, "disc": "(-124416)", "normdisc": 15479341056, "conductor_norm_factors": [2, 3], "nonmax_primes": [3], "nonmax_rad": 3, "root_analytic_conductor": 1.5617910437660592, "cm_type": 0}