{"torsion_structure": [6], "ainvs": "0,1;-1,0;0,0;-428,0;3444,0", "cm": 0, "torsion_gens": ["[[6,0],[0,-22],[1,0]]"], "number": 4, "rank": 1, "field_label": "2.2.12.1", "galois_images": ["2B", "3B.1.1"], "conductor_norm": 2166, "abs_disc": 12, "iso_nlabel": 0, "rank_bounds": [1, 1], "conductor_ideal": "(19*w+57)", "base_change": ["912.c1", "342.c1"], "local_data": [{"p": "(w+1)", "cp": 2, "kod": 8, "red": -1, "normp": 2, "rootno": 1, "ord_cond": 1, "ord_disc": 4, "ord_den_j": 4}, {"p": "(w)", "cp": 2, "kod": 6, "red": -1, "normp": 3, "rootno": 1, "ord_cond": 1, "ord_disc": 2, "ord_den_j": 2}, {"p": "(19)", "cp": 3, "kod": 7, "red": 1, "normp": 361, "rootno": -1, "ord_cond": 1, "ord_disc": 3, "ord_den_j": 3}], "analytic_rank": 1, "minD": "(82308)", "label": "2.2.12.1-2166.1-a4", "jinv": "8671983378625/82308,0", "conductor_label": "2166.1", "class_deg": 6, "reg": {"__RealLiteral__": 0, "data": "1.0648513558535038321810741577039963860", "prec": 130}, "class_size": 4, "class_label": "2.2.12.1-2166.1-a", "iso_label": "a", "degree": 2, "non_min_p": [], "q_curve": true, "short_label": "2166.1-a4", "short_class_label": "2166.1-a", "isogeny_matrix": [[1, 3, 6, 2], [3, 1, 2, 6], [6, 2, 1, 3], [2, 6, 3, 1]], "torsion_order": 6, "equation": "{y}^2+a{x}{y}={x}^{3}-{x}^{2}-428{x}+3444", "gens": ["[[14,0],[0,-14],[1,0]]"], "ngens": 1, "signature": [2, 0], "trace_hash": 384448441547860239, "heights": [{"__RealLiteral__": 0, "data": "1.0648513558535038321810741577039963860", "prec": 130}], "isodeg": [1, 2, 3, 6], "omega": {"__RealLiteral__": 0, "data": "9.5230706703525575400834697758307041135", "prec": 130}, "potential_good_reduction": false, "tamagawa_product": 12, "bad_primes": ["(w+1)", "(w)", "(19)"], "Lvalue": {"__RealLiteral__": 0, "data": "1.9515699098625507987564511296851760588", "prec": 130}, "sha": 1, "torsion_primes": [2, 3], "n_bad_primes": 3, "reducible_primes": [2, 3], "semistable": true, "disc": "(82308)", "normdisc": 6774606864, "conductor_norm_factors": [2, 3, 19], "nonmax_primes": [2, 3], "nonmax_rad": 6, "root_analytic_conductor": 2.111756256803294, "cm_type": 0}