{"torsion_structure": [5], "ainvs": "1,1;0,1;0,1;5,-15;21,-7", "cm": 0, "torsion_gens": ["[[-6,4],[-7,-7],[1,0]]"], "number": 3, "rank": 0, "field_label": "2.0.3.1", "galois_images": ["5Cs.1.1"], "conductor_norm": 124, "abs_disc": 3, "iso_nlabel": 0, "rank_bounds": [0, 0], "conductor_ideal": "[124,62,-12*w+2]", "base_change": [], "local_data": [{"p": "[31,31,-6*w+1]", "cp": 5, "kod": "I_{5}", "red": 1, "normp": 31, "rootno": -1, "ord_cond": 1, "ord_disc": 5, "ord_den_j": 5}, {"p": "[4,2,2]", "cp": 1, "kod": "I_{5}", "red": -1, "normp": 4, "rootno": 1, "ord_cond": 1, "ord_disc": 5, "ord_den_j": 5}], "analytic_rank": 0, "minD": "[29316250624,916132832,-191200*w+139168]", "label": "2.0.3.1-124.1-a3", "jinv": "1018073036305/916132832,511363962461/916132832", "conductor_label": "124.1", "class_deg": 25, "reg": 1, "class_size": 3, "isogeny_degrees": [1, 5], "class_label": "2.0.3.1-124.1-a", "iso_label": "a", "degree": 2, "non_min_p": [], "q_curve": false, "short_label": "124.1-a3", "short_class_label": "124.1-a", "isogeny_matrix": [[1, 25, 5], [25, 1, 5], [5, 5, 1]], "torsion_order": 5, "non-surjective_primes": [5], "equation": "\"y^2+\\left(a+1\\right)xy+ay=x^{3}+ax^{2}+\\left(-15a+5\\right)x-7a+21\"", "gens": [], "ngens": 0, "signature": [0, 1], "trace_hash": 2010446710265882352, "heights": [], "isodeg": [1, 5], "omega": {"__RealLiteral__": 0, "data": "1.84215893028954", "prec": 54}, "potential_good_reduction": false, "tamagawa_product": 5, "bad_primes": ["[31,31,-6*w+1]", "[4,2,2]"], "Lvalue": {"__RealLiteral__": 0, "data": "0.425428381717095", "prec": 57}, "sha": 1, "torsion_primes": [5], "n_bad_primes": 2, "reducible_primes": [5], "semistable": true}