{"torsion_structure": [4], "ainvs": "1,1;0,0;1,0;-21,20;22,0", "cm": 0, "torsion_gens": ["[[0,-4],[-15,4],[1,0]]"], "number": 1, "rank": 2, "field_label": "2.0.3.1", "galois_images": ["2B"], "conductor_norm": 75625, "abs_disc": 3, "iso_nlabel": 0, "rank_bounds": [2, 2], "conductor_ideal": "[75625,275,275]", "base_change": ["275.a4", "2475.i4"], "local_data": [{"p": "[25,5,5]", "cp": 4, "kod": "I_{1}^*", "red": 0, "normp": 25, "rootno": 1, "ord_cond": 2, "ord_disc": 7, "ord_den_j": 1}, {"p": "[121,11,11]", "cp": 1, "kod": "I_{1}", "red": 1, "normp": 121, "rootno": -1, "ord_cond": 1, "ord_disc": 1, "ord_den_j": 1}], "analytic_rank": 2, "minD": "[738525390625,859375,859375]", "label": "2.0.3.1-75625.1-a1", "jinv": "59319/55,0", "conductor_label": "75625.1", "class_deg": 4, "reg": {"__RealLiteral__": 0, "data": "2.57226317996014", "prec": 54}, "class_size": 4, "isogeny_degrees": [1, 2, 4], "class_label": "2.0.3.1-75625.1-a", "iso_label": "a", "degree": 2, "non_min_p": [], "q_curve": true, "short_label": "75625.1-a1", "short_class_label": "75625.1-a", "isogeny_matrix": [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], "torsion_order": 4, "non-surjective_primes": [2], "equation": "\"y^2+\\left(a+1\\right)xy+y=x^{3}+\\left(20a-21\\right)x+22\"", "gens": ["[[-1,1],[-5,2],[1,0]]", "[[1,0],[-4,-3],[1,0]]"], "ngens": 2, "signature": [0, 1], "trace_hash": 374322226900100012, "heights": [{"__RealLiteral__": 0, "data": "1.67487013253474", "prec": 54}, {"__RealLiteral__": 0, "data": "1.67487013253474", "prec": 54}], "isodeg": [1, 2, 4], "omega": {"__RealLiteral__": 0, "data": "1.41649768876523", "prec": 54}, "potential_good_reduction": false, "tamagawa_product": 4, "bad_primes": ["[25,5,5]", "[121,11,11]"], "Lvalue": {"__RealLiteral__": 0, "data": "4.20727248113888", "prec": 54}, "sha": 1, "torsion_primes": [2], "n_bad_primes": 2, "reducible_primes": [2], "semistable": false}