{"torsion_structure": [], "ainvs": "0,1;1,0;0,0;38,0;722,0", "cm": 0, "torsion_gens": [], "number": 3, "rank": 1, "field_label": "2.0.8.1", "galois_images": ["3Cs"], "conductor_norm": 5776, "abs_disc": 8, "iso_nlabel": 2, "rank_bounds": [1, 1], "conductor_ideal": "(76)", "base_change": ["1216.e3", "304.c3"], "local_data": [{"p": "(w)", "cp": 4, "kod": -26, "red": 0, "normp": 2, "rootno": 1, "ord_cond": 4, "ord_disc": 30, "ord_den_j": 18}, {"p": "(-3*w+1)", "cp": 1, "kod": 7, "red": -1, "normp": 19, "rootno": 1, "ord_cond": 1, "ord_disc": 3, "ord_den_j": 3}, {"p": "(3*w+1)", "cp": 1, "kod": 7, "red": -1, "normp": 19, "rootno": 1, "ord_cond": 1, "ord_disc": 3, "ord_den_j": 3}], "analytic_rank": 1, "minD": "(224755712)", "label": "2.0.8.1-5776.2-c3", "jinv": "94196375/3511808,0", "conductor_label": "5776.2", "class_deg": 9, "reg": {"__RealLiteral__": 0, "data": "0.83477609491361802989130534461727486000", "prec": 133}, "class_size": 3, "class_label": "2.0.8.1-5776.2-c", "iso_label": "c", "degree": 2, "non_min_p": [], "q_curve": true, "short_label": "5776.2-c3", "short_class_label": "5776.2-c", "isogeny_matrix": [[1, 9, 3], [9, 1, 3], [3, 3, 1]], "torsion_order": 1, "equation": "{y}^2+a{x}{y}={x}^{3}+{x}^{2}+38{x}+722", "gens": ["[[14,0],[64,-7],[1,0]]"], "ngens": 1, "signature": [0, 1], "trace_hash": 983276670204163477, "heights": [{"__RealLiteral__": 0, "data": "0.83477609491361802989130534461727486000", "prec": 133}], "isodeg": [1, 3], "omega": {"__RealLiteral__": 0, "data": "0.56843169995673904965578597997171301317", "prec": 133}, "potential_good_reduction": false, "tamagawa_product": 4, "bad_primes": ["(w)", "(-3*w+1)", "(3*w+1)"], "Lvalue": {"__RealLiteral__": 0, "data": "2.6842519819637306075576844107536188505", "prec": 130}, "sha": 1, "torsion_primes": [], "n_bad_primes": 3, "reducible_primes": [3], "semistable": false, "disc": "(-224755712)", "normdisc": 50515130076626944, "conductor_norm_factors": [2, 19], "nonmax_primes": [3], "nonmax_rad": 3, "root_analytic_conductor": 2.203384769597414, "cm_type": 0}