{"Lvalue": {"__RealLiteral__": 0, "data": "1.3479672263758588637523223214459093297", "prec": 130}, "abs_disc": 13, "ainvs": "1,0;-1,0;1,1;16,-8;37,-17", "analytic_rank": 0, "bad_primes": ["(-w)", "(-w+1)"], "base_change": [], "class_deg": 3, "class_label": "2.2.13.1-729.1-e", "class_size": 2, "cm": 0, "cm_type": 0, "conductor_ideal": "(27)", "conductor_label": "729.1", "conductor_norm": 729, "conductor_norm_factors": [3], "degree": 2, "disc": "(1215*w-729)", "equation": "{y}^2+{x}{y}+\\left(a+1\\right){y}={x}^{3}-{x}^{2}+\\left(-8a+16\\right){x}-17a+37", "field_label": "2.2.13.1", "galois_images": ["3B.1.1"], "gens": [], "heights": [], "iso_label": "e", "iso_nlabel": 4, "isodeg": [1, 3], "isogeny_matrix": [[1, 3], [3, 1]], "jinv": "22482,16755", "label": "2.2.13.1-729.1-e2", "local_data": [{"p": "(-w)", "cp": 3, "kod": -4, "red": 0, "normp": 3, "rootno": -1, "ord_cond": 3, "ord_disc": 9, "ord_den_j": 0}, {"p": "(-w+1)", "cp": 1, "kod": 4, "red": 0, "normp": 3, "rootno": -1, "ord_cond": 3, "ord_disc": 5, "ord_den_j": 0}], "minD": "(1215*w-729)", "n_bad_primes": 2, "ngens": 0, "non_min_p": [], "nonmax_primes": [3], "nonmax_rad": 3, "normdisc": -4782969, "number": 2, "omega": {"__RealLiteral__": 0, "data": "14.580494857029401747808747293993101247", "prec": 130}, "potential_good_reduction": true, "q_curve": false, "rank": 0, "rank_bounds": [0, 0], "reducible_primes": [3], "reg": 1, "root_analytic_conductor": 1.6741413055494874, "semistable": false, "sha": 1, "short_class_label": "729.1-e", "short_label": "729.1-e2", "signature": [2, 0], "tamagawa_product": 3, "torsion_gens": ["[[1,0],[-7,2],[1,0]]"], "torsion_order": 3, "torsion_primes": [3], "torsion_structure": [3], "trace_hash": 639208935815868871}