{"Lvalue": {"__RealLiteral__": 0, "data": "4.6371055145167530674461497236135310127", "prec": 127}, "abs_disc": 21, "ainvs": "0,1;1,-1;1,0;21,-8;-2630,942", "analytic_rank": 0, "bad_primes": ["(-w+2)", "(w+3)", "(2)"], "base_change": ["882.e2", "882.j2"], "class_deg": 3, "class_label": "2.2.21.1-1764.1-b", "class_size": 2, "cm": 0, "cm_type": 0, "conductor_ideal": "(42)", "conductor_label": "1764.1", "conductor_norm": 1764, "conductor_norm_factors": [2, 3, 7], "degree": 2, "disc": "(-677376)", "equation": "{y}^2+a{x}{y}+{y}={x}^{3}+\\left(-a+1\\right){x}^{2}+\\left(-8a+21\\right){x}+942a-2630", "field_label": "2.2.21.1", "galois_images": ["3B.1.1"], "gens": [], "heights": [], "iso_label": "b", "iso_nlabel": 1, "isodeg": [1, 3], "isogeny_matrix": [[1, 3], [3, 1]], "jinv": "189/512,0", "label": "2.2.21.1-1764.1-b2", "local_data": [{"p": "(-w+2)", "cp": 4, "kod": -1, "red": 0, "normp": 3, "rootno": -1, "ord_cond": 2, "ord_disc": 6, "ord_den_j": 0}, {"p": "(w+3)", "cp": 3, "kod": 4, "red": 0, "normp": 7, "rootno": 1, "ord_cond": 2, "ord_disc": 4, "ord_den_j": 0}, {"p": "(2)", "cp": 9, "kod": 13, "red": 1, "normp": 4, "rootno": -1, "ord_cond": 1, "ord_disc": 9, "ord_den_j": 9}], "minD": "(677376)", "n_bad_primes": 3, "ngens": 0, "non_min_p": [], "nonmax_primes": [3], "nonmax_rad": 3, "normdisc": 458838245376, "number": 2, "omega": {"__RealLiteral__": 0, "data": "1.7708239188141806440186526334363900664", "prec": 127}, "potential_good_reduction": false, "q_curve": true, "rank": 0, "rank_bounds": [0, 0], "reducible_primes": [3], "reg": 1, "root_analytic_conductor": 2.653828453061149, "semistable": false, "sha": 1, "short_class_label": "1764.1-b", "short_label": "1764.1-b2", "signature": [2, 0], "tamagawa_product": 108, "torsion_gens": ["[[15,-5],[-56,19],[1,0]]"], "torsion_order": 3, "torsion_primes": [3], "torsion_structure": [3], "trace_hash": 1013403020907376173}