{"torsion_structure": [2, 6], "ainvs": "0,1;1,0;1,1;-4917256,1756162;5365074571,-1921823000", "cm": 0, "torsion_gens": ["[[-1970,731],[-1828,619],[1,0]]", "[[972,-323],[4542,-1663],[1,0]]"], "number": 11, "rank": 0, "field_label": "2.2.21.1", "galois_images": ["2Cs", "3B.1.1"], "conductor_norm": 2100, "abs_disc": 21, "iso_nlabel": 37, "rank_bounds": [0, 0], "conductor_ideal": "(-20*w+10)", "base_change": ["1470.b1", "630.h1"], "local_data": [{"p": "(-w+2)", "cp": 2, "kod": 6, "red": -1, "normp": 3, "rootno": 1, "ord_cond": 1, "ord_disc": 2, "ord_den_j": 2}, {"p": "(-w)", "cp": 2, "kod": 8, "red": -1, "normp": 5, "rootno": 1, "ord_cond": 1, "ord_disc": 4, "ord_den_j": 4}, {"p": "(-w+1)", "cp": 2, "kod": 8, "red": -1, "normp": 5, "rootno": 1, "ord_cond": 1, "ord_disc": 4, "ord_den_j": 4}, {"p": "(w+3)", "cp": 6, "kod": 10, "red": 1, "normp": 7, "rootno": -1, "ord_cond": 1, "ord_disc": 6, "ord_den_j": 6}, {"p": "(2)", "cp": 6, "kod": 10, "red": 1, "normp": 4, "rootno": -1, "ord_cond": 1, "ord_disc": 6, "ord_den_j": 6}], "analytic_rank": 0, "minD": "(41160000)", "label": "2.2.21.1-2100.1-bl11", "jinv": "4791901410190533590281/41160000,0", "conductor_label": "2100.1", "class_deg": 24, "reg": 1, "class_size": 12, "class_label": "2.2.21.1-2100.1-bl", "iso_label": "bl", "degree": 2, "non_min_p": [], "q_curve": true, "short_label": "2100.1-bl11", "short_class_label": "2100.1-bl", "isogeny_matrix": [[1, 8, 3, 24, 12, 8, 6, 24, 4, 12, 2, 4], [8, 1, 24, 3, 6, 4, 12, 12, 2, 24, 4, 8], [3, 24, 1, 8, 4, 24, 2, 8, 12, 4, 6, 12], [24, 3, 8, 1, 2, 12, 4, 4, 6, 8, 12, 24], [12, 6, 4, 2, 1, 6, 2, 2, 3, 4, 6, 12], [8, 4, 24, 12, 6, 1, 12, 3, 2, 24, 4, 8], [6, 12, 2, 4, 2, 12, 1, 4, 6, 2, 3, 6], [24, 12, 8, 4, 2, 3, 4, 1, 6, 8, 12, 24], [4, 2, 12, 6, 3, 2, 6, 6, 1, 12, 2, 4], [12, 24, 4, 8, 4, 24, 2, 8, 12, 1, 6, 3], [2, 4, 6, 12, 6, 4, 3, 12, 2, 6, 1, 2], [4, 8, 12, 24, 12, 8, 6, 24, 4, 3, 2, 1]], "torsion_order": 12, "equation": "{y}^2+a{x}{y}+\\left(a+1\\right){y}={x}^{3}+{x}^{2}+\\left(1756162a-4917256\\right){x}-1921823000a+5365074571", "gens": [], "ngens": 0, "signature": [2, 0], "trace_hash": 1466112155763017420, "heights": [], "isodeg": [1, 2, 3, 4, 6, 12], "omega": {"__RealLiteral__": 0, "data": "1.0219193515930720262198313784095104294", "prec": 130}, "potential_good_reduction": false, "tamagawa_product": 288, "bad_primes": ["(-w+2)", "(-w)", "(-w+1)", "(w+3)", "(2)"], "Lvalue": {"__RealLiteral__": 0, "data": "1.7840086791677879793925732790472330287", "prec": 130}, "sha": 4, "torsion_primes": [2, 3], "n_bad_primes": 5, "reducible_primes": [2, 3], "semistable": true, "disc": "(41160000)", "normdisc": 1694145600000000, "conductor_norm_factors": [2, 3, 5, 7], "nonmax_primes": [2, 3], "nonmax_rad": 6, "root_analytic_conductor": 2.7720625429882744, "cm_type": 0}