{"torsion_structure": [2, 2], "ainvs": "0,0;0,0;0,0;37,0;138,0", "cm": 0, "torsion_gens": ["[[-3,0],[0,0],[1,0]]", "[[4,-5],[0,0],[1,0]]"], "number": 3, "rank": 1, "field_label": "2.0.7.1", "galois_images": ["2Cs"], "conductor_norm": 44800, "abs_disc": 7, "iso_nlabel": 13, "rank_bounds": [1, 1], "conductor_ideal": "(-160*w+80)", "base_change": ["560.d4", "3920.t4"], "local_data": [{"p": "(w)", "cp": 4, "kod": -12, "red": 0, "normp": 2, "rootno": -1, "ord_cond": 4, "ord_disc": 16, "ord_den_j": 4}, {"p": "(-w+1)", "cp": 4, "kod": -12, "red": 0, "normp": 2, "rootno": -1, "ord_cond": 4, "ord_disc": 16, "ord_den_j": 4}, {"p": "(-2*w+1)", "cp": 2, "kod": 6, "red": 1, "normp": 7, "rootno": -1, "ord_cond": 1, "ord_disc": 2, "ord_den_j": 2}, {"p": "(5)", "cp": 2, "kod": 6, "red": 1, "normp": 25, "rootno": -1, "ord_cond": 1, "ord_disc": 2, "ord_den_j": 2}], "analytic_rank": 1, "minD": "(11468800)", "label": "2.0.7.1-44800.5-n3", "jinv": "1367631/2800,0", "conductor_label": "44800.5", "class_deg": 8, "reg": {"__RealLiteral__": 0, "data": "0.61394132820002084203400163603237317904", "prec": 133}, "class_size": 6, "class_label": "2.0.7.1-44800.5-n", "iso_label": "n", "degree": 2, "non_min_p": [], "q_curve": true, "short_label": "44800.5-n3", "short_class_label": "44800.5-n", "isogeny_matrix": [[1, 4, 2, 4, 8, 8], [4, 1, 2, 4, 8, 8], [2, 2, 1, 2, 4, 4], [4, 4, 2, 1, 2, 2], [8, 8, 4, 2, 1, 4], [8, 8, 4, 2, 4, 1]], "torsion_order": 4, "equation": "{y}^2={x}^{3}+37{x}+138", "gens": ["[[-5,6],[22,-2],[1,0]]"], "ngens": 1, "signature": [0, 1], "trace_hash": 1807375976661713846, "heights": [{"__RealLiteral__": 0, "data": "0.61394132820002084203400163603237317904", "prec": 133}], "isodeg": [1, 2, 4], "omega": {"__RealLiteral__": 0, "data": "0.92498723346050697017099802840454215587", "prec": 133}, "potential_good_reduction": false, "tamagawa_product": 64, "bad_primes": ["(w)", "(-w+1)", "(-2*w+1)", "(5)"], "Lvalue": {"__RealLiteral__": 0, "data": "3.4342631572597873227605199635877759896", "prec": 130}, "sha": 1, "torsion_primes": [2], "n_bad_primes": 4, "reducible_primes": [2], "semistable": false, "disc": "(-11468800)", "normdisc": 131533373440000, "conductor_norm_factors": [2, 5, 7], "nonmax_primes": [2], "nonmax_rad": 2, "root_analytic_conductor": 3.4395931629864145, "cm_type": 0}