{"Lvalue": {"__RealLiteral__": 0, "data": "5.2523252588870677011607845161704052193", "prec": 130}, "abs_disc": 7, "ainvs": "0,0;-1,1;0,0;-55,5;-147,41", "analytic_rank": 1, "bad_primes": ["(w)", "(-w+1)", "(-2*w+1)"], "base_change": [], "class_deg": 8, "class_label": "2.0.7.1-28672.7-w", "class_size": 6, "cm": 0, "cm_type": 0, "conductor_ideal": "(-128*w+64)", "conductor_label": "28672.7", "conductor_norm": 28672, "conductor_norm_factors": [2, 7], "degree": 2, "disc": "(4014080*w+1605632)", "equation": "{y}^2={x}^{3}+\\left(a-1\\right){x}^{2}+\\left(5a-55\\right){x}+41a-147", "field_label": "2.0.7.1", "galois_images": ["2Cs"], "gens": ["[[-13/2,1/4],[-5/4,-57/8],[1,0]]"], "heights": [{"__RealLiteral__": 0, "data": "0.88767652024368524000685576917317565184", "prec": 133}], "iso_label": "w", "iso_nlabel": 22, "isodeg": [1, 2, 4], "isogeny_matrix": [[1, 8, 2, 8, 4, 4], [8, 1, 4, 4, 8, 2], [2, 4, 1, 4, 2, 2], [8, 4, 4, 1, 8, 2], [4, 8, 2, 8, 1, 4], [4, 2, 2, 2, 4, 1]], "jinv": "274391/196,-361845/196", "label": "2.0.7.1-28672.7-w6", "local_data": [{"p": "(w)", "cp": 4, "kod": -14, "red": 0, "normp": 2, "rootno": -1, "ord_cond": 6, "ord_disc": 20, "ord_den_j": 2}, {"p": "(-w+1)", "cp": 4, "kod": -8, "red": 0, "normp": 2, "rootno": 1, "ord_cond": 6, "ord_disc": 14, "ord_den_j": 0}, {"p": "(-2*w+1)", "cp": 4, "kod": 8, "red": 1, "normp": 7, "rootno": -1, "ord_cond": 1, "ord_disc": 4, "ord_den_j": 4}], "minD": "(4014080*w+1605632)", "n_bad_primes": 3, "ngens": 1, "non_min_p": [], "nonmax_primes": [2], "nonmax_rad": 2, "normdisc": 41248865910784, "number": 6, "omega": {"__RealLiteral__": 0, "data": "0.97842134232800924535701604973897076036", "prec": 133}, "potential_good_reduction": false, "q_curve": false, "rank": 1, "rank_bounds": [1, 1], "reducible_primes": [2], "reg": {"__RealLiteral__": 0, "data": "0.88767652024368524000685576917317565184", "prec": 133}, "root_analytic_conductor": 3.076465650952455, "semistable": false, "sha": 1, "short_class_label": "28672.7-w", "short_label": "28672.7-w6", "signature": [0, 1], "tamagawa_product": 64, "torsion_gens": ["[[-5,-1],[0,0],[1,0]]", "[[-3,1],[0,0],[1,0]]"], "torsion_order": 4, "torsion_primes": [2], "torsion_structure": [2, 2], "trace_hash": 728427423930337062}