{"torsion_structure": [2, 2], "ainvs": "0,1;0,-1;0,1;-91,-46;141,219", "cm": 0, "torsion_gens": ["[[-11,-2],[-3,6],[1,0]]", "[[11/4,3/4],[9/8,-9/4],[1,0]]"], "number": 2, "rank": 0, "field_label": "2.0.11.1", "galois_images": ["2Cs"], "conductor_norm": 27225, "abs_disc": 11, "iso_nlabel": 1, "rank_bounds": [0, 0], "conductor_ideal": "(-55*w-110)", "base_change": [], "local_data": [{"p": "(w-1)", "cp": 4, "kod": -1, "red": 0, "normp": 3, "rootno": -1, "ord_cond": 2, "ord_disc": 6, "ord_den_j": 0}, {"p": "(-w-1)", "cp": 2, "kod": 6, "red": 1, "normp": 5, "rootno": -1, "ord_cond": 1, "ord_disc": 2, "ord_den_j": 2}, {"p": "(w-2)", "cp": 2, "kod": 6, "red": -1, "normp": 5, "rootno": 1, "ord_cond": 1, "ord_disc": 2, "ord_den_j": 2}, {"p": "(-2*w+1)", "cp": 4, "kod": -8, "red": 0, "normp": 11, "rootno": -1, "ord_cond": 2, "ord_disc": 10, "ord_den_j": 4}], "analytic_rank": 0, "minD": "(-64420400*w+52341575)", "label": "2.0.11.1-27225.8-b2", "jinv": "8120601/3025,0", "conductor_label": "27225.8", "class_deg": 4, "reg": 1, "class_size": 4, "class_label": "2.0.11.1-27225.8-b", "iso_label": "b", "degree": 2, "non_min_p": [], "q_curve": true, "short_label": "27225.8-b2", "short_class_label": "27225.8-b", "isogeny_matrix": [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], "torsion_order": 4, "equation": "{y}^2+a{x}{y}+a{y}={x}^{3}-a{x}^{2}+\\left(-46a-91\\right){x}+219a+141", "gens": [], "ngens": 0, "signature": [0, 1], "trace_hash": 1177949900292458581, "heights": [], "isodeg": [1, 2], "omega": {"__RealLiteral__": 0, "data": "0.61645149331728819443895024242199345359", "prec": 133}, "potential_good_reduction": false, "tamagawa_product": 64, "bad_primes": ["(w-1)", "(-w-1)", "(w-2)", "(-2*w+1)"], "Lvalue": {"__RealLiteral__": 0, "data": "1.4869369489365266392452376044640481028", "prec": 130}, "sha": 1, "torsion_primes": [2], "n_bad_primes": 4, "reducible_primes": [2], "semistable": false, "disc": "(64420400*w-52341575)", "normdisc": 11817739083830625, "conductor_norm_factors": [3, 5, 11], "nonmax_primes": [2], "nonmax_rad": 2, "root_analytic_conductor": 3.8069473291421296, "cm_type": 0}