{"torsion_structure": [2], "ainvs": "1,1;0,-1;0,0;5,8;-8,-24", "cm": 0, "torsion_gens": ["[[-4,4],[4,-2],[1,0]]"], "number": 3, "rank": 1, "field_label": "2.0.3.1", "galois_images": ["2B", "3B[2]"], "conductor_norm": 99937, "abs_disc": 3, "iso_nlabel": 0, "rank_bounds": [1, 1], "conductor_ideal": "(-353*w+96)", "base_change": [], "local_data": [{"p": "(-7*w+4)", "cp": 2, "kod": -1, "red": 0, "normp": 37, "rootno": 1, "ord_cond": 2, "ord_disc": 6, "ord_den_j": 0}, {"p": "(-9*w+1)", "cp": 1, "kod": 5, "red": -1, "normp": 73, "rootno": 1, "ord_cond": 1, "ord_disc": 1, "ord_den_j": 1}], "analytic_rank": 1, "minD": "(498447*w-280223)", "label": "2.0.3.1-99937.1-a3", "jinv": "20960/73,9927/73", "conductor_label": "99937.1", "class_deg": 6, "reg": {"__RealLiteral__": 0, "data": "1.8313280874078119188694730554089398434", "prec": 130}, "class_size": 4, "class_label": "2.0.3.1-99937.1-a", "iso_label": "a", "degree": 2, "non_min_p": [], "q_curve": false, "short_label": "99937.1-a3", "short_class_label": "99937.1-a", "isogeny_matrix": [[1, 6, 3, 2], [6, 1, 2, 3], [3, 2, 1, 6], [2, 3, 6, 1]], "torsion_order": 2, "equation": "{y}^2+\\left(a+1\\right){x}{y}={x}^{3}-a{x}^{2}+\\left(8a+5\\right){x}-24a-8", "gens": ["[[-1,4],[-3,6],[1,0]]"], "ngens": 1, "signature": [0, 1], "trace_hash": 1599785751214815531, "heights": [{"__RealLiteral__": 0, "data": "1.8313280874078119188694730554089398434", "prec": 130}], "isodeg": [1, 2, 3, 6], "omega": {"__RealLiteral__": 0, "data": "1.5991093223508538535390561870058389441", "prec": 130}, "potential_good_reduction": false, "tamagawa_product": 2, "bad_primes": ["(-7*w+4)", "(-9*w+1)"], "Lvalue": {"__RealLiteral__": 0, "data": "3.3815333869648462235595287412310804645", "prec": 130}, "sha": 1, "torsion_primes": [2], "n_bad_primes": 2, "reducible_primes": [2, 3], "semistable": false, "disc": "(-498447*w+280223)", "normdisc": 187298027857, "conductor_norm_factors": [37, 73], "nonmax_primes": [2, 3], "nonmax_rad": 6, "root_analytic_conductor": 2.7518880221908972, "cm_type": 0}