{"torsion_structure": [2], "ainvs": "1,1;0,1;0,0;504,190;-43216,-16334", "cm": 0, "torsion_gens": ["[[18,13/2],[-127/4,-49/4],[1,0]]"], "number": 1, "rank": 0, "field_label": "2.2.28.1", "galois_images": ["2B"], "conductor_norm": 72, "abs_disc": 28, "iso_nlabel": 2, "rank_bounds": [0, 0], "conductor_ideal": "(6*w+18)", "base_change": ["2352.i6", "24.a6"], "local_data": [{"p": "(w+3)", "cp": 2, "kod": -3, "red": 0, "normp": 2, "rootno": 1, "ord_cond": 3, "ord_disc": 10, "ord_den_j": 0}, {"p": "(-w+2)", "cp": 2, "kod": 12, "red": -1, "normp": 3, "rootno": 1, "ord_cond": 1, "ord_disc": 8, "ord_den_j": 8}, {"p": "(-w-2)", "cp": 2, "kod": 12, "red": -1, "normp": 3, "rootno": 1, "ord_cond": 1, "ord_disc": 8, "ord_den_j": 8}], "analytic_rank": 0, "minD": "(209952)", "label": "2.2.28.1-72.1-c1", "jinv": "207646/6561,0", "conductor_label": "72.1", "class_deg": 8, "reg": 1, "class_size": 6, "isogeny_degrees": [1, 2, 4, 8], "class_label": "2.2.28.1-72.1-c", "iso_label": "c", "degree": 2, "non_min_p": [], "q_curve": true, "short_label": "72.1-c1", "short_class_label": "72.1-c", "isogeny_matrix": [[1, 8, 4, 2, 8, 4], [8, 1, 2, 4, 4, 8], [4, 2, 1, 2, 2, 4], [2, 4, 2, 1, 4, 2], [8, 4, 2, 4, 1, 8], [4, 8, 4, 2, 8, 1]], "torsion_order": 2, "non-surjective_primes": [2], "equation": "{y}^2+\\left(a+1\\right){x}{y}={x}^{3}+a{x}^{2}+\\left(190a+504\\right){x}-16334a-43216", "gens": [], "ngens": 0, "signature": [2, 0], "trace_hash": 917034386027818635, "heights": [], "isodeg": [1, 2, 4, 8], "omega": {"__RealLiteral__": 0, "data": "2.32527986895540", "prec": 54}, "potential_good_reduction": false, "tamagawa_product": 8, "bad_primes": ["(w+3)", "(-w+2)", "(-w-2)"], "Lvalue": {"__RealLiteral__": 0, "data": "0.878873180268694", "prec": 57}, "sha": 1, "torsion_primes": [2], "n_bad_primes": 3, "reducible_primes": [2], "semistable": false, "disc": "(-209952)", "normdisc": 44079842304}