{"Lvalue": {"__RealLiteral__": 0, "data": "0.58697321690548654029979273929421712342", "prec": 133}, "abs_disc": 5, "ainvs": "0,1;-1,-1;0,1;-125,-113;384,867", "analytic_rank": 0, "bad_primes": ["(3)"], "base_change": [], "class_deg": 30, "class_label": "2.2.5.1-81.1-a", "class_size": 8, "cm": -60, "cm_type": -1, "conductor_ideal": "(9)", "conductor_label": "81.1", "conductor_norm": 81, "conductor_norm_factors": [3], "degree": 2, "disc": "(19683)", "equation": "{y}^2+\\phi{x}{y}+\\phi{y}={x}^{3}+\\left(-\\phi-1\\right){x}^{2}+\\left(-113\\phi-125\\right){x}+867\\phi+384", "field_label": "2.2.5.1", "galois_images": ["3B.1.2"], "gens": [], "heights": [], "iso_label": "a", "iso_nlabel": 0, "isodeg": [1, 2, 3, 5, 6, 10, 15, 30], "isogeny_matrix": [[1, 15, 5, 3, 10, 6, 2, 30], [15, 1, 3, 5, 6, 10, 30, 2], [5, 3, 1, 15, 2, 30, 10, 6], [3, 5, 15, 1, 30, 2, 6, 10], [10, 6, 2, 30, 1, 15, 5, 3], [6, 10, 30, 2, 15, 1, 3, 5], [2, 30, 10, 6, 5, 3, 1, 15], [30, 2, 6, 10, 3, 5, 15, 1]], "jinv": "26786530035,-16554983445", "label": "2.2.5.1-81.1-a6", "local_data": [{"p": "(3)", "cp": 2, "kod": -3, "red": 0, "normp": 9, "rootno": 1, "ord_cond": 2, "ord_disc": 9, "ord_den_j": 0}], "minD": "(19683)", "n_bad_primes": 1, "ngens": 0, "non_min_p": [], "nonmax_primes": [3], "nonmax_rad": 3, "normdisc": 387420489, "number": 6, "omega": {"__RealLiteral__": 0, "data": "2.6250240279447933084927913747793015088", "prec": 130}, "potential_good_reduction": true, "q_curve": true, "rank": 0, "rank_bounds": [0, 0], "reducible_primes": [2, 3, 5], "reg": 1, "root_analytic_conductor": 0.5994387450738914, "semistable": false, "sha": 1, "short_class_label": "81.1-a", "short_label": "81.1-a6", "signature": [2, 0], "tamagawa_product": 2, "torsion_gens": ["[[-5/4,19/4],[-19/8,-9/4],[1,0]]"], "torsion_order": 2, "torsion_primes": [2], "torsion_structure": [2], "trace_hash": 660159269427890240}