{"torsion_structure": [6], "ainvs": "1,1;0,0;1,1;507,285;2888,1611", "cm": 0, "torsion_gens": ["[[34,18],[275,152],[1,0]]"], "number": 2, "rank": 0, "field_label": "2.2.21.1", "galois_images": ["2B", "3B.1.1"], "conductor_norm": 225, "abs_disc": 21, "iso_nlabel": 2, "rank_bounds": [0, 0], "conductor_ideal": "(15)", "base_change": [], "local_data": [{"p": "(-w+2)", "cp": 2, "kod": -1, "red": 0, "normp": 3, "rootno": -1, "ord_cond": 2, "ord_disc": 6, "ord_den_j": 0}, {"p": "(-w)", "cp": 12, "kod": 16, "red": 1, "normp": 5, "rootno": -1, "ord_cond": 1, "ord_disc": 12, "ord_den_j": 12}, {"p": "(-w+1)", "cp": 2, "kod": 8, "red": -1, "normp": 5, "rootno": 1, "ord_cond": 1, "ord_disc": 4, "ord_den_j": 4}], "analytic_rank": 0, "minD": "(961875*w+10293750)", "label": "2.2.21.1-225.1-c2", "jinv": "-619846590969/244140625,359104782699/244140625", "conductor_label": "225.1", "class_deg": 12, "reg": 1, "class_size": 8, "class_label": "2.2.21.1-225.1-c", "iso_label": "c", "degree": 2, "non_min_p": [], "q_curve": true, "short_label": "225.1-c2", "short_class_label": "225.1-c", "isogeny_matrix": [[1, 3, 6, 4, 12, 12, 2, 4], [3, 1, 2, 12, 4, 4, 6, 12], [6, 2, 1, 6, 2, 2, 3, 6], [4, 12, 6, 1, 12, 3, 2, 4], [12, 4, 2, 12, 1, 4, 6, 3], [12, 4, 2, 3, 4, 1, 6, 12], [2, 6, 3, 2, 6, 6, 1, 2], [4, 12, 6, 4, 3, 12, 2, 1]], "torsion_order": 6, "equation": "{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^{3}+\\left(285a+507\\right){x}+1611a+2888", "gens": [], "ngens": 0, "signature": [2, 0], "trace_hash": 532525166927343768, "heights": [], "isodeg": [1, 2, 3, 4, 6, 12], "omega": {"__RealLiteral__": 0, "data": "3.1102820457996860449289670751064842512", "prec": 130}, "potential_good_reduction": false, "tamagawa_product": 48, "bad_primes": ["(-w+2)", "(-w)", "(-w+1)"], "Lvalue": {"__RealLiteral__": 0, "data": "0.90495891476439162371240211350015123184", "prec": 133}, "sha": 1, "torsion_primes": [2, 3], "n_bad_primes": 3, "reducible_primes": [2, 3], "semistable": false, "disc": "(-961875*w-10293750)", "normdisc": 111236572265625, "conductor_norm_factors": [3, 5], "nonmax_primes": [2, 3], "nonmax_rad": 6, "root_analytic_conductor": 1.5859658456821613, "cm_type": 0}