{"torsion_structure": [2], "ainvs": "1,0;1,0;0,0;4,0;0,0", "cm": 0, "torsion_gens": ["[[0,0],[0,0],[1,0]]"], "number": 1, "rank": 1, "field_label": "2.0.7.1", "galois_images": ["2B"], "conductor_norm": 30492, "abs_disc": 7, "iso_nlabel": 5, "rank_bounds": [1, 1], "conductor_ideal": "(-132*w+66)", "base_change": ["3234.n4", "462.a4"], "local_data": [{"p": "(w)", "cp": 2, "kod": 8, "red": -1, "normp": 2, "rootno": 1, "ord_cond": 1, "ord_disc": 4, "ord_den_j": 4}, {"p": "(-w+1)", "cp": 2, "kod": 8, "red": -1, "normp": 2, "rootno": 1, "ord_cond": 1, "ord_disc": 4, "ord_den_j": 4}, {"p": "(-2*w+1)", "cp": 2, "kod": 6, "red": 1, "normp": 7, "rootno": -1, "ord_cond": 1, "ord_disc": 2, "ord_den_j": 2}, {"p": "(-2*w+3)", "cp": 1, "kod": 5, "red": 1, "normp": 11, "rootno": -1, "ord_cond": 1, "ord_disc": 1, "ord_den_j": 1}, {"p": "(2*w+1)", "cp": 1, "kod": 5, "red": 1, "normp": 11, "rootno": -1, "ord_cond": 1, "ord_disc": 1, "ord_den_j": 1}, {"p": "(3)", "cp": 1, "kod": 5, "red": 1, "normp": 9, "rootno": -1, "ord_cond": 1, "ord_disc": 1, "ord_den_j": 1}], "analytic_rank": 1, "minD": "(3696)", "label": "2.0.7.1-30492.5-f1", "jinv": "4657463/3696,0", "conductor_label": "30492.5", "class_deg": 4, "reg": {"__RealLiteral__": 0, "data": "0.25170205792959537481721288850241219968", "prec": 133}, "class_size": 4, "class_label": "2.0.7.1-30492.5-f", "iso_label": "f", "degree": 2, "non_min_p": [], "q_curve": true, "short_label": "30492.5-f1", "short_class_label": "30492.5-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+{x}{y}={x}^{3}+{x}^{2}+4{x}", "gens": ["[[-2,1],[2,1],[1,0]]"], "ngens": 1, "signature": [0, 1], "trace_hash": 1792216459053026927, "heights": [{"__RealLiteral__": 0, "data": "0.25170205792959537481721288850241219968", "prec": 133}], "isodeg": [1, 2, 4], "omega": {"__RealLiteral__": 0, "data": "3.5077442612216651296993539450952096653", "prec": 130}, "potential_good_reduction": false, "tamagawa_product": 8, "bad_primes": ["(w)", "(-w+1)", "(-2*w+1)", "(-2*w+3)", "(2*w+1)", "(3)"], "Lvalue": {"__RealLiteral__": 0, "data": "2.6696581664282261416455494021480973601", "prec": 130}, "sha": 1, "torsion_primes": [2], "n_bad_primes": 6, "reducible_primes": [2], "semistable": true, "disc": "(-3696)", "normdisc": 13660416, "conductor_norm_factors": [2, 3, 7, 11], "nonmax_primes": [2], "nonmax_rad": 2, "root_analytic_conductor": 3.1241656373601385, "cm_type": 0}