{"torsion_structure": [2], "ainvs": "1,1;0,0;1,1;-8,19;-9,18", "cm": 0, "torsion_gens": ["[[5,-4],[-5,1],[1,0]]"], "number": 4, "rank": 0, "field_label": "2.0.3.1", "galois_images": ["2B", "3B[2]"], "conductor_norm": 106875, "abs_disc": 3, "iso_nlabel": 0, "rank_bounds": [0, 0], "conductor_ideal": "(-375*w+150)", "base_change": [], "local_data": [{"p": "(-2*w+1)", "cp": 2, "kod": 3, "red": 0, "normp": 3, "rootno": 1, "ord_cond": 2, "ord_disc": 3, "ord_den_j": 0}, {"p": "(-5*w+2)", "cp": 1, "kod": 5, "red": 1, "normp": 19, "rootno": -1, "ord_cond": 1, "ord_disc": 1, "ord_den_j": 1}, {"p": "(5)", "cp": 2, "kod": -1, "red": 0, "normp": 25, "rootno": 1, "ord_cond": 2, "ord_disc": 6, "ord_den_j": 0}], "analytic_rank": 0, "minD": "(375000*w-328125)", "label": "2.0.3.1-106875.2-a4", "jinv": "27648/19,9153/19", "conductor_label": "106875.2", "class_deg": 6, "reg": 1, "class_size": 4, "class_label": "2.0.3.1-106875.2-a", "iso_label": "a", "degree": 2, "non_min_p": [], "q_curve": false, "short_label": "106875.2-a4", "short_class_label": "106875.2-a", "isogeny_matrix": [[1, 3, 6, 2], [3, 1, 2, 6], [6, 2, 1, 3], [2, 6, 3, 1]], "torsion_order": 2, "equation": "{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^{3}+\\left(19a-8\\right){x}+18a-9", "gens": [], "ngens": 0, "signature": [0, 1], "trace_hash": 1601014021668415430, "heights": [], "isodeg": [1, 2, 3, 6], "omega": {"__RealLiteral__": 0, "data": "1.6278825167444621926089945486333553435", "prec": 130}, "potential_good_reduction": false, "tamagawa_product": 4, "bad_primes": ["(-2*w+1)", "(-5*w+2)", "(5)"], "Lvalue": {"__RealLiteral__": 0, "data": "1.8797168185030014358637572974329945956", "prec": 130}, "sha": 1, "torsion_primes": [2], "n_bad_primes": 3, "reducible_primes": [2, 3], "semistable": false, "disc": "(328125*w+46875)", "normdisc": 125244140625, "conductor_norm_factors": [3, 5, 19], "nonmax_primes": [2, 3], "nonmax_rad": 6, "root_analytic_conductor": 2.7984542595452204, "cm_type": 0}