{"torsion_structure": [2], "ainvs": "1,1;0,1;1,0;125,-126;612,0", "cm": 0, "torsion_gens": ["[[0,-31/4],[-35/8,31/4],[1,0]]"], "number": 3, "rank": 1, "field_label": "2.0.3.1", "galois_images": ["2B"], "conductor_norm": 71148, "abs_disc": 3, "iso_nlabel": 3, "rank_bounds": [1, 1], "conductor_ideal": "(-308*w+154)", "base_change": ["1386.k2", "462.a2"], "local_data": [{"p": "(-2*w+1)", "cp": 2, "kod": 12, "red": -1, "normp": 3, "rootno": 1, "ord_cond": 1, "ord_disc": 8, "ord_den_j": 8}, {"p": "(-3*w+1)", "cp": 4, "kod": 8, "red": 1, "normp": 7, "rootno": -1, "ord_cond": 1, "ord_disc": 4, "ord_den_j": 4}, {"p": "(3*w-2)", "cp": 4, "kod": 8, "red": 1, "normp": 7, "rootno": -1, "ord_cond": 1, "ord_disc": 4, "ord_den_j": 4}, {"p": "(2)", "cp": 1, "kod": 5, "red": 1, "normp": 4, "rootno": -1, "ord_cond": 1, "ord_disc": 1, "ord_den_j": 1}, {"p": "(11)", "cp": 1, "kod": 5, "red": 1, "normp": 121, "rootno": -1, "ord_cond": 1, "ord_disc": 1, "ord_den_j": 1}], "analytic_rank": 1, "minD": "(4278582)", "label": "2.0.3.1-71148.2-d3", "jinv": "223980311017/4278582,0", "conductor_label": "71148.2", "class_deg": 4, "reg": {"__RealLiteral__": 0, "data": "0.25170205792959537481721288850241219968", "prec": 133}, "class_size": 4, "class_label": "2.0.3.1-71148.2-d", "iso_label": "d", "degree": 2, "non_min_p": [], "q_curve": true, "short_label": "71148.2-d3", "short_class_label": "71148.2-d", "isogeny_matrix": [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], "torsion_order": 2, "equation": "{y}^2+\\left(a+1\\right){x}{y}+{y}={x}^{3}+a{x}^{2}+\\left(-126a+125\\right){x}+612", "gens": ["[[0,-6],[0,6],[1,0]]"], "ngens": 1, "signature": [0, 1], "trace_hash": 850185859551650292, "heights": [{"__RealLiteral__": 0, "data": "0.25170205792959537481721288850241219968", "prec": 133}], "isodeg": [1, 2, 4], "omega": {"__RealLiteral__": 0, "data": "0.87693606530541628242483848627380241632", "prec": 133}, "potential_good_reduction": false, "tamagawa_product": 32, "bad_primes": ["(-2*w+1)", "(-3*w+1)", "(3*w-2)", "(2)", "(11)"], "Lvalue": {"__RealLiteral__": 0, "data": "4.0779702091047873305422951734470400559", "prec": 130}, "sha": 1, "torsion_primes": [2], "n_bad_primes": 5, "reducible_primes": [2], "semistable": true, "disc": "(4278582)", "normdisc": 18306263930724, "conductor_norm_factors": [2, 3, 7, 11], "nonmax_primes": [2], "nonmax_rad": 2, "root_analytic_conductor": 2.527783385245146, "cm_type": 0}