{"torsion_structure": [2], "ainvs": "0,1;-1,0;0,0;-523,190;-4408,1947", "cm": 0, "torsion_gens": ["[[-16,6],[3,5],[1,0]]"], "number": 1, "rank": 0, "field_label": "2.0.3.1", "galois_images": ["2B", "3B[2]"], "conductor_norm": 100156, "abs_disc": 3, "iso_nlabel": 3, "rank_bounds": [0, 0], "conductor_ideal": "(-364*w+154)", "base_change": [], "local_data": [{"p": "(-3*w+1)", "cp": 4, "kod": -10, "red": 0, "normp": 7, "rootno": -1, "ord_cond": 2, "ord_disc": 12, "ord_den_j": 6}, {"p": "(3*w-2)", "cp": 2, "kod": 10, "red": -1, "normp": 7, "rootno": 1, "ord_cond": 1, "ord_disc": 6, "ord_den_j": 6}, {"p": "(-9*w+1)", "cp": 1, "kod": 5, "red": -1, "normp": 73, "rootno": 1, "ord_cond": 1, "ord_disc": 1, "ord_den_j": 1}, {"p": "(2)", "cp": 2, "kod": 6, "red": -1, "normp": 4, "rootno": 1, "ord_cond": 1, "ord_disc": 2, "ord_den_j": 2}], "analytic_rank": 0, "minD": "(1385434624*w-12706092)", "label": "2.0.3.1-100156.3-d1", "jinv": "-64083232890/8588377,275361962643/34353508", "conductor_label": "100156.3", "class_deg": 6, "reg": 1, "class_size": 4, "class_label": "2.0.3.1-100156.3-d", "iso_label": "d", "degree": 2, "non_min_p": [], "q_curve": false, "short_label": "100156.3-d1", "short_class_label": "100156.3-d", "isogeny_matrix": [[1, 6, 2, 3], [6, 1, 3, 2], [2, 3, 1, 6], [3, 2, 6, 1]], "torsion_order": 2, "equation": "{y}^2+a{x}{y}={x}^{3}-{x}^{2}+\\left(190a-523\\right){x}+1947a-4408", "gens": [], "ngens": 0, "signature": [0, 1], "trace_hash": 1446055330985190033, "heights": [], "isodeg": [1, 2, 3, 6], "omega": {"__RealLiteral__": 0, "data": "0.37823656331094247538891976845040383948", "prec": 133}, "potential_good_reduction": false, "tamagawa_product": 16, "bad_primes": ["(-3*w+1)", "(3*w-2)", "(-9*w+1)", "(2)"], "Lvalue": {"__RealLiteral__": 0, "data": "1.7469998531594525303397538347276101045", "prec": 130}, "sha": 1, "torsion_primes": [2], "n_bad_primes": 4, "reducible_primes": [2, 3], "semistable": false, "disc": "(-12706092*w-1372728532)", "normdisc": 1901987082359404432, "conductor_norm_factors": [2, 7, 73], "nonmax_primes": [2, 3], "nonmax_rad": 6, "root_analytic_conductor": 2.7533943933537297, "cm_type": 0}