{"torsion_structure": [2], "ainvs": "1,1;-1,1;0,0;-3,-3;-63,-36", "cm": 0, "torsion_gens": ["[[3,1],[-3,-2],[1,0]]"], "number": 1, "rank": 0, "field_label": "2.2.12.1", "galois_images": ["2B"], "conductor_norm": 1800, "abs_disc": 12, "iso_nlabel": 1, "rank_bounds": [0, 0], "conductor_ideal": "(30*w+30)", "base_change": ["720.i2", "360.c2"], "local_data": [{"p": "(w+1)", "cp": 2, "kod": -5, "red": 0, "normp": 2, "rootno": 1, "ord_cond": 3, "ord_disc": 8, "ord_den_j": 0}, {"p": "(w)", "cp": 4, "kod": -1, "red": 0, "normp": 3, "rootno": -1, "ord_cond": 2, "ord_disc": 6, "ord_den_j": 0}, {"p": "(5)", "cp": 1, "kod": 5, "red": 1, "normp": 25, "rootno": -1, "ord_cond": 1, "ord_disc": 1, "ord_den_j": 1}], "analytic_rank": 0, "minD": "(2160)", "label": "2.2.12.1-1800.1-b1", "jinv": "-108/5,0", "conductor_label": "1800.1", "class_deg": 2, "reg": 1, "class_size": 2, "class_label": "2.2.12.1-1800.1-b", "iso_label": "b", "degree": 2, "non_min_p": [], "q_curve": true, "short_label": "1800.1-b1", "short_class_label": "1800.1-b", "isogeny_matrix": [[1, 2], [2, 1]], "torsion_order": 2, "equation": "{y}^2+\\left(a+1\\right){x}{y}={x}^{3}+\\left(a-1\\right){x}^{2}+\\left(-3a-3\\right){x}-36a-63", "gens": [], "ngens": 0, "signature": [2, 0], "trace_hash": 1208884708870715476, "heights": [], "isodeg": [1, 2], "omega": {"__RealLiteral__": 0, "data": "4.1136574231985375435192865570025517949", "prec": 130}, "potential_good_reduction": false, "tamagawa_product": 8, "bad_primes": ["(w+1)", "(w)", "(5)"], "Lvalue": {"__RealLiteral__": 0, "data": "2.3750212206375779249602169661703951762", "prec": 130}, "sha": 1, "torsion_primes": [2], "n_bad_primes": 3, "reducible_primes": [2], "semistable": false, "disc": "(-2160)", "normdisc": 4665600, "conductor_norm_factors": [2, 3, 5], "nonmax_primes": [2], "nonmax_rad": 2, "root_analytic_conductor": 2.0162635675872824, "cm_type": 0}