{"torsion_structure": [2], "ainvs": "1,0;0,0;0,0;-784,0;-8515,0", "cm": 0, "torsion_gens": ["[[-65/4,0],[65/8,0],[1,0]]"], "number": 6, "rank": 1, "field_label": "2.2.21.1", "galois_images": ["2B"], "conductor_norm": 21, "abs_disc": 21, "iso_nlabel": 1, "rank_bounds": [1, 1], "conductor_ideal": "(-2*w+1)", "base_change": ["21.a1", "441.f1"], "local_data": [{"p": "(-w+2)", "cp": 2, "kod": 6, "red": 1, "normp": 3, "rootno": -1, "ord_cond": 1, "ord_disc": 2, "ord_den_j": 2}, {"p": "(w+3)", "cp": 2, "kod": 8, "red": -1, "normp": 7, "rootno": 1, "ord_cond": 1, "ord_disc": 4, "ord_den_j": 4}], "analytic_rank": 1, "minD": "(147)", "label": "2.2.21.1-21.1-b6", "jinv": "53297461115137/147,0", "conductor_label": "21.1", "class_deg": 8, "reg": {"__RealLiteral__": 0, "data": "2.6385088231341581748855033900597912662", "prec": 130}, "class_size": 6, "class_label": "2.2.21.1-21.1-b", "iso_label": "b", "degree": 2, "non_min_p": [], "q_curve": true, "short_label": "21.1-b6", "short_class_label": "21.1-b", "isogeny_matrix": [[1, 8, 4, 8, 2, 4], [8, 1, 2, 4, 4, 8], [4, 2, 1, 2, 2, 4], [8, 4, 2, 1, 4, 8], [2, 4, 2, 4, 1, 2], [4, 8, 4, 8, 2, 1]], "torsion_order": 2, "equation": "{y}^2+{x}{y}={x}^{3}-784{x}-8515", "gens": ["[[84/5,-296/25],[-2193/25,4292/125],[1,0]]"], "ngens": 1, "signature": [2, 0], "trace_hash": 156798392119375225, "heights": [{"__RealLiteral__": 0, "data": "2.6385088231341581748855033900597912662", "prec": 130}], "isodeg": [1, 2, 4, 8], "omega": {"__RealLiteral__": 0, "data": "0.81402043591529410859009812409796429515", "prec": 133}, "potential_good_reduction": false, "tamagawa_product": 4, "bad_primes": ["(-w+2)", "(w+3)"], "Lvalue": {"__RealLiteral__": 0, "data": "0.93737681397741291827004797814744196432", "prec": 133}, "sha": 1, "torsion_primes": [2], "n_bad_primes": 2, "reducible_primes": [2], "semistable": true, "disc": "(147)", "normdisc": 21609, "conductor_norm_factors": [3, 7], "nonmax_primes": [2], "nonmax_rad": 2, "root_analytic_conductor": 0.8766031452281368, "cm_type": 0}