{"Lvalue": {"__RealLiteral__": 0, "data": "1.1904566884653928859600489514586624089", "prec": 130}, "abs_disc": 3, "ainvs": "0,0;0,-1;1,0;-13,13;42,0", "analytic_rank": 1, "bad_primes": ["(-3*w+1)", "(3*w-2)", "(-4*w+1)", "(4*w-3)"], "base_change": ["91.b3", "819.c3"], "class_deg": 9, "class_label": "2.0.3.1-8281.5-a", "class_size": 5, "cm": 0, "cm_type": 0, "conductor_ideal": "(91)", "conductor_label": "8281.5", "conductor_norm": 8281, "conductor_norm_factors": [7, 13], "degree": 2, "disc": "(-753571)", "equation": "{y}^2+{y}={x}^{3}-a{x}^{2}+\\left(13a-13\\right){x}+42", "field_label": "2.0.3.1", "galois_images": ["3Cs.1.1[2]"], "gens": ["[[0,-26],[136,0],[1,0]]"], "heights": [{"__RealLiteral__": 0, "data": "0.35308169546971684849771789725392435251", "prec": 133}], "iso_label": "a", "iso_nlabel": 0, "isodeg": [1, 3], "isogeny_matrix": [[1, 9, 3, 9, 9], [9, 1, 3, 9, 9], [3, 3, 1, 3, 3], [9, 9, 3, 1, 9], [9, 9, 3, 9, 1]], "jinv": "224755712/753571,0", "label": "2.0.3.1-8281.5-a3", "local_data": [{"p": "(-3*w+1)", "cp": 3, "kod": 7, "red": 1, "normp": 7, "rootno": -1, "ord_cond": 1, "ord_disc": 3, "ord_den_j": 3}, {"p": "(3*w-2)", "cp": 3, "kod": 7, "red": 1, "normp": 7, "rootno": -1, "ord_cond": 1, "ord_disc": 3, "ord_den_j": 3}, {"p": "(-4*w+1)", "cp": 3, "kod": 7, "red": 1, "normp": 13, "rootno": -1, "ord_cond": 1, "ord_disc": 3, "ord_den_j": 3}, {"p": "(4*w-3)", "cp": 3, "kod": 7, "red": 1, "normp": 13, "rootno": -1, "ord_cond": 1, "ord_disc": 3, "ord_den_j": 3}], "minD": "(753571)", "n_bad_primes": 4, "ngens": 1, "non_min_p": [], "nonmax_primes": [3], "nonmax_rad": 3, "normdisc": 567869252041, "number": 3, "omega": {"__RealLiteral__": 0, "data": "1.4599535285234738926428370958607892630", "prec": 130}, "potential_good_reduction": false, "q_curve": true, "rank": 1, "rank_bounds": [1, 1], "reducible_primes": [3], "reg": {"__RealLiteral__": 0, "data": "0.35308169546971684849771789725392435251", "prec": 133}, "root_analytic_conductor": 1.4764538513549805, "semistable": true, "sha": 1, "short_class_label": "8281.5-a", "short_label": "8281.5-a3", "signature": [0, 1], "tamagawa_product": 81, "torsion_gens": ["[[-7,2],[3,-14],[1,0]]", "[[0,0],[-7,0],[1,0]]"], "torsion_order": 9, "torsion_primes": [3], "torsion_structure": [3, 3], "trace_hash": 48537339100333640}