{"torsion_structure": [2, 2], "ainvs": "0,1;-1,1;0,0;-140176,-21630;-10862084,-1676056", "cm": 0, "torsion_gens": ["[[-248,-38],[798,124],[1,0]]", "[[-40,-6],[126,20],[1,0]]"], "number": 3, "rank": 0, "field_label": "2.2.168.1", "galois_images": ["2Cs"], "conductor_norm": 42, "abs_disc": 168, "iso_nlabel": 4, "rank_bounds": [0, 0], "conductor_ideal": "(w)", "base_change": ["126.a3", "9408.n3"], "local_data": [{"p": "(2,w)", "cp": 2, "kod": 8, "red": -1, "normp": 2, "rootno": 1, "ord_cond": 1, "ord_disc": 4, "ord_den_j": 4}, {"p": "(3,w)", "cp": 2, "kod": 20, "red": -1, "normp": 3, "rootno": 1, "ord_cond": 1, "ord_disc": 16, "ord_den_j": 16}, {"p": "(w+7)", "cp": 2, "kod": 12, "red": -1, "normp": 7, "rootno": 1, "ord_cond": 1, "ord_disc": 8, "ord_den_j": 8}], "analytic_rank": 0, "minD": "(63011844)", "label": "2.2.168.1-42.1-e3", "jinv": "124475734657/63011844,0", "conductor_label": "42.1", "class_deg": 8, "reg": 1, "class_size": 6, "class_label": "2.2.168.1-42.1-e", "iso_label": "e", "degree": 2, "non_min_p": ["(2,w)"], "q_curve": true, "short_label": "42.1-e3", "short_class_label": "42.1-e", "isogeny_matrix": [[1, 8, 4, 8, 2, 4], [8, 1, 2, 4, 4, 8], [4, 2, 1, 2, 2, 4], [8, 4, 2, 1, 4, 8], [2, 4, 2, 4, 1, 2], [4, 8, 4, 8, 2, 1]], "torsion_order": 4, "equation": "{y}^2+a{x}{y}={x}^{3}+\\left(a-1\\right){x}^{2}+\\left(-21630a-140176\\right){x}-1676056a-10862084", "gens": [], "ngens": 0, "signature": [2, 0], "trace_hash": 908029415751314043, "heights": [], "isodeg": [1, 2, 4], "omega": {"__RealLiteral__": 0, "data": "2.4868872765896753813228282147412861493", "prec": 130}, "potential_good_reduction": false, "tamagawa_product": 8, "bad_primes": ["(2,w)", "(3,w)", "(w+7)"], "Lvalue": {"__RealLiteral__": 0, "data": "1.5349401510235613627965440600757516599", "prec": 130}, "sha": 16, "torsion_primes": [2], "n_bad_primes": 3, "reducible_primes": [2], "semistable": true, "disc": "(4032758016)", "normdisc": 16263137215612256256, "conductor_norm_factors": [2, 3, 7], "nonmax_primes": [2], "nonmax_rad": 2, "root_analytic_conductor": 2.9485297696898862, "cm_type": 0}