{"torsion_structure": [], "ainvs": "0,0;1,1;1,0;-350,481;-776,3858", "cm": -27, "torsion_gens": [], "number": 2, "rank": 2, "field_label": "2.0.3.1", "galois_images": ["43Cs.9.1"], "conductor_norm": 149769, "abs_disc": 3, "iso_nlabel": -2, "rank_bounds": [2, 2], "conductor_ideal": "(432*w-315)", "base_change": [], "local_data": [{"p": "(-2*w+1)", "cp": 1, "kod": 2, "red": 0, "normp": 3, "rootno": 1, "ord_cond": 4, "ord_disc": 4, "ord_den_j": 0}, {"p": "(7*w-6)", "cp": 4, "kod": -1, "red": 0, "normp": 43, "rootno": -1, "ord_cond": 2, "ord_disc": 6, "ord_den_j": 0}], "analytic_rank": 2, "minD": "(796077*w-206397)", "label": "2.0.3.1-149769.3-CMb2", "jinv": "-12288000,0", "conductor_label": "149769.3", "class_deg": 3, "reg": {"__RealLiteral__": 0, "data": "0.35423728150518548299079742174749018731", "prec": 133}, "class_size": 2, "class_label": "2.0.3.1-149769.3-CMb", "iso_label": "CMb", "degree": 2, "non_min_p": [], "q_curve": true, "short_label": "149769.3-CMb2", "short_class_label": "149769.3-CMb", "isogeny_matrix": [[1, 3], [3, 1]], "torsion_order": 1, "equation": "{y}^2+{y}={x}^{3}+\\left(a+1\\right){x}^{2}+\\left(481a-350\\right){x}+3858a-776", "gens": ["[[-16,6],[17,-24],[1,0]]", "[[-627/49,376/49],[-568/343,-1992/343],[1,0]]"], "ngens": 2, "signature": [0, 1], "trace_hash": 458751726598172078, "heights": [{"__RealLiteral__": 0, "data": "0.22908425799261606827987520554340697611", "prec": 133}, {"__RealLiteral__": 0, "data": "1.6035898059483124779591264388038488328", "prec": 130}], "isodeg": [1, 3], "omega": {"__RealLiteral__": 0, "data": "0.71392491041515692123029412386872519513", "prec": 133}, "potential_good_reduction": true, "tamagawa_product": 4, "bad_primes": ["(-2*w+1)", "(7*w-6)"], "Lvalue": {"__RealLiteral__": 0, "data": "4.6723584478544375636578287609234563777", "prec": 130}, "sha": 1, "torsion_primes": [], "n_bad_primes": 2, "reducible_primes": [3], "semistable": false, "disc": "(-589680*w+796077)", "normdisc": 512030406969, "conductor_norm_factors": [3, 43], "nonmax_primes": [43], "nonmax_rad": 43, "root_analytic_conductor": 3.044771202351772, "cm_type": 1}