{"torsion_structure": [2, 2], "ainvs": "0,1;1,-1;0,0;-1,-4;-7,1", "cm": 0, "torsion_gens": ["[[-2,-1],[-1,1],[1,0]]", "[[0,1],[1,0],[1,0]]"], "number": 6, "rank": 0, "field_label": "2.0.8.1", "galois_images": ["2Cs", "3B.1.2"], "conductor_norm": 108, "abs_disc": 8, "iso_nlabel": 0, "rank_bounds": [0, 0], "conductor_ideal": "(-6*w-6)", "base_change": [], "local_data": [{"p": "(w)", "cp": 1, "kod": 4, "red": 0, "normp": 2, "rootno": -1, "ord_cond": 2, "ord_disc": 4, "ord_den_j": 0}, {"p": "(-w-1)", "cp": 4, "kod": -10, "red": 0, "normp": 3, "rootno": -1, "ord_cond": 2, "ord_disc": 12, "ord_den_j": 6}, {"p": "(w-1)", "cp": 2, "kod": 6, "red": 1, "normp": 3, "rootno": -1, "ord_cond": 1, "ord_disc": 2, "ord_den_j": 2}], "analytic_rank": 0, "minD": "(-792*w-8676)", "label": "2.0.8.1-108.2-a6", "jinv": "467888/729,855712/729", "conductor_label": "108.2", "class_deg": 12, "reg": 1, "class_size": 8, "class_label": "2.0.8.1-108.2-a", "iso_label": "a", "degree": 2, "non_min_p": [], "q_curve": true, "short_label": "108.2-a6", "short_class_label": "108.2-a", "isogeny_matrix": [[1, 12, 4, 12, 6, 2, 4, 3], [12, 1, 12, 4, 2, 6, 3, 4], [4, 12, 1, 3, 6, 2, 4, 12], [12, 4, 3, 1, 2, 6, 12, 4], [6, 2, 6, 2, 1, 3, 6, 2], [2, 6, 2, 6, 3, 1, 2, 6], [4, 3, 4, 12, 6, 2, 1, 12], [3, 4, 12, 4, 2, 6, 12, 1]], "torsion_order": 4, "equation": "{y}^2+a{x}{y}={x}^{3}+\\left(-a+1\\right){x}^{2}+\\left(-4a-1\\right){x}+a-7", "gens": [], "ngens": 0, "signature": [0, 1], "trace_hash": 2204694058421146497, "heights": [], "isodeg": [1, 2, 3, 6], "omega": {"__RealLiteral__": 0, "data": "2.9766338729482736182421507817380377728", "prec": 130}, "potential_good_reduction": false, "tamagawa_product": 8, "bad_primes": ["(w)", "(-w-1)", "(w-1)"], "Lvalue": {"__RealLiteral__": 0, "data": "1.0523989983356502088743140236853244675", "prec": 130}, "sha": 1, "torsion_primes": [2], "n_bad_primes": 3, "reducible_primes": [2, 3], "semistable": false, "disc": "(-792*w-8676)", "normdisc": 76527504, "conductor_norm_factors": [2, 3], "nonmax_primes": [2, 3], "nonmax_rad": 6, "root_analytic_conductor": 0.8147783599649414, "cm_type": 0}