{"Lvalue": {"__RealLiteral__": 0, "data": "3.0926193317313108731318833608166397661", "prec": 130}, "abs_disc": 457, "ainvs": "1,0;0,1;1,0;-102655956047261842,-10075393175452795;-18261363907664053540688320,-1792301473526103661546294", "analytic_rank": 1, "bad_primes": ["(6987*w-78176)", "(-196*w+2193)"], "base_change": [], "class_deg": 2, "class_label": "2.2.457.1-6.1-a", "class_size": 2, "cm": 0, "cm_type": 0, "conductor_ideal": "(-53*w-540)", "conductor_label": "6.1", "conductor_norm": 6, "conductor_norm_factors": [2, 3], "degree": 2, "disc": "(-29267*w+327462)", "equation": "{y}^2+{x}{y}+{y}={x}^{3}+a{x}^{2}+\\left(-10075393175452795a-102655956047261842\\right){x}-1792301473526103661546294a-18261363907664053540688320", "field_label": "2.2.457.1", "galois_images": ["2B"], "gens": ["[[-3292452634/27,-969434906/81],[-24318238505290/243,-7160300007059/729],[1,0]]"], "heights": [{"__RealLiteral__": 0, "data": "1.8323957108589342020944433706507945019", "prec": 130}], "iso_label": "a", "iso_nlabel": 0, "isodeg": [1, 2], "isogeny_matrix": [[1, 2], [2, 1]], "jinv": "14336917/144,1399157/144", "label": "2.2.457.1-6.1-a2", "local_data": [{"p": "(6987*w-78176)", "cp": 2, "kod": 8, "red": -1, "normp": 2, "rootno": 1, "ord_cond": 1, "ord_disc": 4, "ord_den_j": 4}, {"p": "(-196*w+2193)", "cp": 2, "kod": 6, "red": 1, "normp": 3, "rootno": -1, "ord_cond": 1, "ord_disc": 2, "ord_den_j": 2}], "minD": "(-29267*w+327462)", "n_bad_primes": 2, "ngens": 1, "non_min_p": [], "nonmax_primes": [2], "nonmax_rad": 2, "normdisc": -144, "number": 2, "omega": {"__RealLiteral__": 0, "data": "18.039948946002181955426086893478814742", "prec": 130}, "potential_good_reduction": false, "q_curve": false, "rank": 1, "rank_bounds": [1, 1], "reducible_primes": [2], "reg": {"__RealLiteral__": 0, "data": "1.8323957108589342020944433706507945019", "prec": 130}, "root_analytic_conductor": 2.9897471883700377, "semistable": true, "sha": 1, "short_class_label": "6.1-a", "short_label": "6.1-a2", "signature": [2, 0], "tamagawa_product": 4, "torsion_gens": ["[[-483693683/4,-47473175/4],[483693679/8,47473175/8],[1,0]]"], "torsion_order": 2, "torsion_primes": [2], "torsion_structure": [2], "trace_hash": 443475136633604351}