{"torsion_structure": [2], "ainvs": "1,0;1,1;0,0;-1609,5809;-36864,-101245", "cm": 0, "torsion_gens": ["[[235/4,-61],[-235/8,61/2],[1,0]]"], "number": 1, "rank": 1, "field_label": "2.0.3.1", "galois_images": ["2B"], "conductor_norm": 96100, "abs_disc": 3, "iso_nlabel": 0, "rank_bounds": [1, 1], "conductor_ideal": "(350*w-240)", "base_change": [], "local_data": [{"p": "(6*w-5)", "cp": 2, "kod": -5, "red": 0, "normp": 31, "rootno": -1, "ord_cond": 2, "ord_disc": 7, "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}, {"p": "(5)", "cp": 10, "kod": 14, "red": 1, "normp": 25, "rootno": -1, "ord_cond": 1, "ord_disc": 10, "ord_den_j": 10}], "analytic_rank": 1, "minD": "(-6644570312500*w+6300234375000)", "label": "2.0.3.1-96100.3-a1", "jinv": "309491975847/605468750,507226797683/242187500", "conductor_label": "96100.3", "class_deg": 2, "reg": {"__RealLiteral__": 0, "data": "1.4984481541939309167077644566259126119", "prec": 130}, "class_size": 2, "class_label": "2.0.3.1-96100.3-a", "iso_label": "a", "degree": 2, "non_min_p": [], "q_curve": false, "short_label": "96100.3-a1", "short_class_label": "96100.3-a", "isogeny_matrix": [[1, 2], [2, 1]], "torsion_order": 2, "equation": "{y}^2+{x}{y}={x}^{3}+\\left(a+1\\right){x}^{2}+\\left(5809a-1609\\right){x}-101245a-36864", "gens": ["[[245/3,-11],[-6280/9,-838/9],[1,0]]"], "ngens": 1, "signature": [0, 1], "trace_hash": 634171777344130420, "heights": [{"__RealLiteral__": 0, "data": "1.4984481541939309167077644566259126119", "prec": 130}], "isodeg": [1, 2], "omega": {"__RealLiteral__": 0, "data": "0.098366399050263012957453088709664284553", "prec": 137}, "potential_good_reduction": false, "tamagawa_product": 40, "bad_primes": ["(6*w-5)", "(2)", "(5)"], "Lvalue": {"__RealLiteral__": 0, "data": "3.4039867294299059663922946638356201705", "prec": 130}, "sha": 1, "torsion_primes": [2], "n_bad_primes": 3, "reducible_primes": [2], "semistable": false, "disc": "(-344335937500*w+6644570312500)", "normdisc": 41980917527770996093750000, "conductor_norm_factors": [2, 5, 31], "nonmax_primes": [2], "nonmax_rad": 2, "root_analytic_conductor": 2.7250848405103056, "cm_type": 0}