{"torsion_structure": [2, 4], "ainvs": "1,1;1,0;1,1;-183,104;753,-436", "cm": 0, "torsion_gens": ["[[-11,6],[-4,2],[1,0]]", "[[-3,1],[27,-16],[1,0]]"], "number": 3, "rank": 0, "field_label": "2.2.12.1", "galois_images": ["2Cs"], "conductor_norm": 2904, "abs_disc": 12, "iso_nlabel": 2, "rank_bounds": [0, 0], "conductor_ideal": "(22*w+66)", "base_change": ["528.b2", "792.f2"], "local_data": [{"p": "(w+1)", "cp": 2, "kod": -5, "red": 0, "normp": 2, "rootno": 1, "ord_cond": 3, "ord_disc": 8, "ord_den_j": 0}, {"p": "(w)", "cp": 2, "kod": 6, "red": -1, "normp": 3, "rootno": 1, "ord_cond": 1, "ord_disc": 2, "ord_den_j": 2}, {"p": "(-2*w+1)", "cp": 4, "kod": 8, "red": 1, "normp": 11, "rootno": -1, "ord_cond": 1, "ord_disc": 4, "ord_den_j": 4}, {"p": "(2*w+1)", "cp": 4, "kod": 8, "red": 1, "normp": 11, "rootno": -1, "ord_cond": 1, "ord_disc": 4, "ord_den_j": 4}], "analytic_rank": 0, "minD": "(702768)", "label": "2.2.12.1-2904.1-c3", "jinv": "122657188/43923,0", "conductor_label": "2904.1", "class_deg": 8, "reg": 1, "class_size": 6, "class_label": "2.2.12.1-2904.1-c", "iso_label": "c", "degree": 2, "non_min_p": [], "q_curve": true, "short_label": "2904.1-c3", "short_class_label": "2904.1-c", "isogeny_matrix": [[1, 8, 4, 2, 8, 4], [8, 1, 2, 4, 4, 8], [4, 2, 1, 2, 2, 4], [2, 4, 2, 1, 4, 2], [8, 4, 2, 4, 1, 8], [4, 8, 4, 2, 8, 1]], "torsion_order": 8, "equation": "{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^{3}+{x}^{2}+\\left(104a-183\\right){x}-436a+753", "gens": [], "ngens": 0, "signature": [2, 0], "trace_hash": 883693121061524795, "heights": [], "isodeg": [1, 2, 4], "omega": {"__RealLiteral__": 0, "data": "6.8706847285163000614113204588477826701", "prec": 130}, "potential_good_reduction": false, "tamagawa_product": 64, "bad_primes": ["(w+1)", "(w)", "(-2*w+1)", "(2*w+1)"], "Lvalue": {"__RealLiteral__": 0, "data": "1.9833958387629683278433895614484180631", "prec": 130}, "sha": 1, "torsion_primes": [2], "n_bad_primes": 4, "reducible_primes": [2], "semistable": false, "disc": "(702768)", "normdisc": 493882861824, "conductor_norm_factors": [2, 3, 11], "nonmax_primes": [2], "nonmax_rad": 2, "root_analytic_conductor": 2.2723662457221816, "cm_type": 0}