{"torsion_structure": [2], "ainvs": "1,1;-1,-1;0,0;145,-146;-1131,222", "cm": 0, "torsion_gens": ["[[5,17/4],[-3/8,-27/4],[1,0]]"], "number": 2, "rank": 0, "field_label": "2.0.3.1", "galois_images": ["2B", "3B[2]"], "conductor_norm": 61731, "abs_disc": 3, "iso_nlabel": 2, "rank_bounds": [0, 0], "conductor_ideal": "(-285*w+114)", "base_change": [], "local_data": [{"p": "(-2*w+1)", "cp": 2, "kod": 3, "red": 0, "normp": 3, "rootno": 1, "ord_cond": 2, "ord_disc": 3, "ord_den_j": 0}, {"p": "(-5*w+3)", "cp": 2, "kod": 10, "red": -1, "normp": 19, "rootno": 1, "ord_cond": 1, "ord_disc": 6, "ord_den_j": 6}, {"p": "(-5*w+2)", "cp": 2, "kod": -1, "red": 0, "normp": 19, "rootno": -1, "ord_cond": 2, "ord_disc": 6, "ord_den_j": 0}], "analytic_rank": 0, "minD": "(-282275286*w+141137643)", "label": "2.0.3.1-61731.3-c2", "jinv": "-39546962313/47045881,-36038181633/47045881", "conductor_label": "61731.3", "class_deg": 6, "reg": 1, "class_size": 4, "class_label": "2.0.3.1-61731.3-c", "iso_label": "c", "degree": 2, "non_min_p": [], "q_curve": false, "short_label": "61731.3-c2", "short_class_label": "61731.3-c", "isogeny_matrix": [[1, 2, 3, 6], [2, 1, 6, 3], [3, 6, 1, 2], [6, 3, 2, 1]], "torsion_order": 2, "equation": "{y}^2+\\left(a+1\\right){x}{y}={x}^{3}+\\left(-a-1\\right){x}^{2}+\\left(-146a+145\\right){x}+222a-1131", "gens": [], "ngens": 0, "signature": [0, 1], "trace_hash": 687015802038901063, "heights": [], "isodeg": [1, 2, 3, 6], "omega": {"__RealLiteral__": 0, "data": "0.53904576673212953753773882273170401222", "prec": 133}, "potential_good_reduction": false, "tamagawa_product": 8, "bad_primes": ["(-2*w+1)", "(-5*w+3)", "(-5*w+2)"], "Lvalue": {"__RealLiteral__": 0, "data": "1.2448728741132928202490377944994376471", "prec": 130}, "sha": 1, "torsion_primes": [2], "n_bad_primes": 3, "reducible_primes": [2, 3], "semistable": false, "disc": "(141137643*w-282275286)", "normdisc": 59759502814786347, "conductor_norm_factors": [3, 19], "nonmax_primes": [2, 3], "nonmax_rad": 6, "root_analytic_conductor": 2.439635863095712, "cm_type": 0}