{"torsion_structure": [2], "ainvs": "1,1;-1,0;0,0;3,0;0,0", "cm": 0, "torsion_gens": ["[[0,0],[0,0],[1,0]]"], "number": 1, "rank": 0, "field_label": "2.2.12.1", "galois_images": ["2B"], "conductor_norm": 3600, "abs_disc": 12, "iso_nlabel": 5, "rank_bounds": [0, 0], "conductor_ideal": "(60)", "base_change": [], "local_data": [{"p": "(w+1)", "cp": 1, "kod": 2, "red": 0, "normp": 2, "rootno": -1, "ord_cond": 4, "ord_disc": 4, "ord_den_j": 0}, {"p": "(w)", "cp": 4, "kod": -6, "red": 0, "normp": 3, "rootno": -1, "ord_cond": 2, "ord_disc": 8, "ord_den_j": 2}, {"p": "(5)", "cp": 1, "kod": 5, "red": -1, "normp": 25, "rootno": 1, "ord_cond": 1, "ord_disc": 1, "ord_den_j": 1}], "analytic_rank": 0, "minD": "(1620)", "label": "2.2.12.1-3600.1-f1", "jinv": "21296/15,0", "conductor_label": "3600.1", "class_deg": 4, "reg": 1, "class_size": 4, "class_label": "2.2.12.1-3600.1-f", "iso_label": "f", "degree": 2, "non_min_p": [], "q_curve": true, "short_label": "3600.1-f1", "short_class_label": "3600.1-f", "isogeny_matrix": [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], "torsion_order": 2, "equation": "{y}^2+\\left(a+1\\right){x}{y}={x}^{3}-{x}^{2}+3{x}", "gens": [], "ngens": 0, "signature": [2, 0], "trace_hash": 1151971184108858502, "heights": [], "isodeg": [1, 2, 4], "omega": {"__RealLiteral__": 0, "data": "8.0403805027665510836476706985154795721", "prec": 130}, "potential_good_reduction": false, "tamagawa_product": 4, "bad_primes": ["(w+1)", "(w)", "(5)"], "Lvalue": {"__RealLiteral__": 0, "data": "2.3210579238296434060638927348241762716", "prec": 130}, "sha": 1, "torsion_primes": [2], "n_bad_primes": 3, "reducible_primes": [2], "semistable": false, "disc": "(-1620)", "normdisc": 2624400, "conductor_norm_factors": [2, 3, 5], "nonmax_primes": [2], "nonmax_rad": 2, "root_analytic_conductor": 2.3977549802955656, "cm_type": 0}