{"Lvalue": {"__RealLiteral__": 0, "data": "4.2072724811388759079841492553189858144", "prec": 130}, "abs_disc": 3, "ainvs": "1,1;0,0;1,0;-21,20;22,0", "analytic_rank": 2, "bad_primes": ["(5)", "(11)"], "base_change": ["275.a4", "2475.i4"], "class_deg": 4, "class_label": "2.0.3.1-75625.1-a", "class_size": 4, "cm": 0, "cm_type": 0, "conductor_ideal": "(275)", "conductor_label": "75625.1", "conductor_norm": 75625, "conductor_norm_factors": [5, 11], "degree": 2, "disc": "(-859375)", "equation": "{y}^2+\\left(a+1\\right){x}{y}+{y}={x}^{3}+\\left(20a-21\\right){x}+22", "field_label": "2.0.3.1", "galois_images": ["2B"], "gens": ["[[-1,1],[-5,2],[1,0]]", "[[1,0],[-4,-3],[1,0]]"], "heights": [{"__RealLiteral__": 0, "data": "1.6748701325347444194835328781638245777", "prec": 130}, {"__RealLiteral__": 0, "data": "1.6748701325347444194835328781638245777", "prec": 130}], "iso_label": "a", "iso_nlabel": 0, "isodeg": [1, 2, 4], "isogeny_matrix": [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], "jinv": "59319/55,0", "label": "2.0.3.1-75625.1-a1", "local_data": [{"p": "(5)", "cp": 4, "kod": -5, "red": 0, "normp": 25, "rootno": 1, "ord_cond": 2, "ord_disc": 7, "ord_den_j": 1}, {"p": "(11)", "cp": 1, "kod": 5, "red": 1, "normp": 121, "rootno": -1, "ord_cond": 1, "ord_disc": 1, "ord_den_j": 1}], "minD": "(859375)", "n_bad_primes": 2, "ngens": 2, "non_min_p": [], "nonmax_primes": [2], "nonmax_rad": 2, "normdisc": 738525390625, "number": 1, "omega": {"__RealLiteral__": 0, "data": "1.4164976887652323834412748914627671298", "prec": 130}, "potential_good_reduction": false, "q_curve": true, "rank": 2, "rank_bounds": [2, 2], "reducible_primes": [2], "reg": {"__RealLiteral__": 0, "data": "2.5722631799601447389094934068516650161", "prec": 130}, "root_analytic_conductor": 2.5666433657124306, "semistable": false, "sha": 1, "short_class_label": "75625.1-a", "short_label": "75625.1-a1", "signature": [0, 1], "tamagawa_product": 4, "torsion_gens": ["[[0,-4],[-15,4],[1,0]]"], "torsion_order": 4, "torsion_primes": [2], "torsion_structure": [4], "trace_hash": 374322226900100012}