{"Lvalue": {"__RealLiteral__": 0, "data": "1.9182755564977037268046817019158827443", "prec": 130}, "abs_disc": 8, "ainvs": "0,1;-1,1;0,0;-110,-6;2612,-2170", "analytic_rank": 1, "bad_primes": ["(w)", "(2*w+1)"], "base_change": [], "class_deg": 12, "class_label": "2.2.8.1-784.3-f", "class_size": 8, "cm": 0, "cm_type": 0, "conductor_ideal": "(20*w-4)", "conductor_label": "784.3", "conductor_norm": 784, "conductor_norm_factors": [2, 7], "degree": 2, "disc": "(-187532096*w+698004624)", "equation": "{y}^2+a{x}{y}={x}^{3}+\\left(a-1\\right){x}^{2}+\\left(-6a-110\\right){x}-2170a+2612", "field_label": "2.2.8.1", "galois_images": ["2B", "3B"], "gens": ["[[-1,-5],[44,-23],[1,0]]"], "heights": [{"__RealLiteral__": 0, "data": "1.7983895029623960235724358974503480572", "prec": 130}], "iso_label": "f", "iso_nlabel": 5, "isodeg": [1, 2, 3, 4, 6, 12], "isogeny_matrix": [[1, 3, 6, 4, 12, 12, 2, 4], [3, 1, 2, 12, 4, 4, 6, 12], [6, 2, 1, 6, 2, 2, 3, 6], [4, 12, 6, 1, 12, 3, 2, 4], [12, 4, 2, 12, 1, 4, 6, 3], [12, 4, 2, 3, 4, 1, 6, 12], [2, 6, 3, 2, 6, 6, 1, 2], [4, 12, 6, 4, 3, 12, 2, 1]], "jinv": "41622722395132/13841287201,29518306565684/13841287201", "label": "2.2.8.1-784.3-f4", "local_data": [{"p": "(w)", "cp": 1, "kod": -1, "red": 0, "normp": 2, "rootno": 1, "ord_cond": 4, "ord_disc": 8, "ord_den_j": 0}, {"p": "(2*w+1)", "cp": 4, "kod": -16, "red": 0, "normp": 7, "rootno": -1, "ord_cond": 2, "ord_disc": 18, "ord_den_j": 12}], "minD": "(-187532096*w+698004624)", "n_bad_primes": 2, "ngens": 1, "non_min_p": [], "nonmax_primes": [2, 3], "nonmax_rad": 6, "normdisc": -416873881065074944, "number": 4, "omega": {"__RealLiteral__": 0, "data": "1.5084892921689691048289420136426703062", "prec": 130}, "potential_good_reduction": false, "q_curve": false, "rank": 1, "rank_bounds": [1, 1], "reducible_primes": [2, 3], "reg": {"__RealLiteral__": 0, "data": "1.7983895029623960235724358974503480572", "prec": 130}, "root_analytic_conductor": 1.3374038302908666, "semistable": false, "sha": 1, "short_class_label": "784.3-f", "short_label": "784.3-f4", "signature": [2, 0], "tamagawa_product": 4, "torsion_gens": ["[[-7/2,11],[-11,7/4],[1,0]]"], "torsion_order": 2, "torsion_primes": [2], "torsion_structure": [2], "trace_hash": 865115739426479499}