# Stored data for abelian variety isogeny class 2.11.b_k, downloaded from the LMFDB on 16 April 2026.
{"abvar_count": 144, "abvar_counts": [144, 17280, 1774656, 218488320, 25833267504, 3130493184000, 379894475893104, 45952044838778880, 5560018338439596096, 672758038151896752000], "abvar_counts_str": "144 17280 1774656 218488320 25833267504 3130493184000 379894475893104 45952044838778880 5560018338439596096 672758038151896752000 ", "all_polarized_product": false, "all_unpolarized_product": false, "angle_corank": 0, "angle_rank": 2, "angles": [0.35061540727732, 0.706037166300355], "center_dim": 4, "cohen_macaulay_max": 1, "curve_count": 13, "curve_counts": [13, 141, 1336, 14921, 160403, 1767078, 19494593, 214369681, 2357990536, 25937734701], "curve_counts_str": "13 141 1336 14921 160403 1767078 19494593 214369681 2357990536 25937734701 ", "curves": ["y^2=8*x^5+4*x^4+4*x^2+3*x+8", "y^2=5*x^6+7*x^5+7*x^4+x^3+10*x+9", "y^2=3*x^6+10*x^4+7*x^3+8*x^2+6*x+7", "y^2=x^6+9*x^5+10*x^4+6*x^3+7*x^2+3*x+2", "y^2=8*x^6+10*x^5+4*x^4+9*x^3+x^2+4*x+8", "y^2=8*x^6+2*x^5+5*x^4+7*x^3+8*x^2+9*x+3", "y^2=9*x^6+2*x^5+10*x^4+4*x^3+4*x^2+2*x+2", "y^2=10*x^6+9*x^5+4*x^4+10*x^3+2*x+10", "y^2=7*x^6+7*x^5+10*x^4+5*x^3+6*x^2+8*x+10", "y^2=5*x^6+x^5+x^4+2*x+8", "y^2=5*x^6+4*x^5+x^4+7*x^3+x^2+7*x", "y^2=10*x^6+4*x^5+7*x^3+4*x^2+7*x+4", "y^2=10*x^6+6*x^5+6*x^4+9*x^3+10*x^2+3", "y^2=4*x^6+4*x^5+8*x^4+8*x^3+3*x^2+x+6"], "dim1_distinct": 2, "dim1_factors": 2, "dim2_distinct": 0, "dim2_factors": 0, "dim3_distinct": 0, "dim3_factors": 0, "dim4_distinct": 0, "dim4_factors": 0, "dim5_distinct": 0, "dim5_factors": 0, "endomorphism_ring_count": 6, "g": 2, "galois_groups": ["2T1", "2T1"], "geom_dim1_distinct": 2, "geom_dim1_factors": 2, "geom_dim2_distinct": 0, "geom_dim2_factors": 0, "geom_dim3_distinct": 0, "geom_dim3_factors": 0, "geom_dim4_distinct": 0, "geom_dim4_factors": 0, "geom_dim5_distinct": 0, "geom_dim5_factors": 0, "geometric_center_dim": 4, "geometric_extension_degree": 1, "geometric_galois_groups": ["2T1", "2T1"], "geometric_number_fields": ["2.0.35.1", "2.0.7.1"], "geometric_splitting_field": "4.0.1225.1", "geometric_splitting_polynomials": [[4, 2, 5, -1, 1]], "group_structure_count": 2, "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 14, "is_cyclic": false, "is_geometrically_simple": false, "is_geometrically_squarefree": true, "is_primitive": true, "is_simple": false, "is_squarefree": true, "is_supersingular": false, "jacobian_count": 14, "label": "2.11.b_k", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 2, "newton_coelevation": 2, "newton_elevation": 0, "noncyclic_primes": [2], "number_fields": ["2.0.35.1", "2.0.7.1"], "p": 11, "p_rank": 2, "p_rank_deficit": 0, "pic_prime_gens": [[1, 3, 1, 42]], "poly": [1, 1, 10, 11, 121], "poly_str": "1 1 10 11 121 ", "primitive_models": [], "principal_polarization_count": 18, "q": 11, "real_poly": [1, 1, -12], "simple_distinct": ["1.11.ad", "1.11.e"], "simple_factors": ["1.11.adA", "1.11.eA"], "simple_multiplicities": [1, 1], "singular_primes": ["7,4*V+8", "2,7*F+7"], "size": 100, "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "4.0.1225.1", "splitting_polynomials": [[4, 2, 5, -1, 1]], "twist_count": 4, "twists": [["2.11.ah_bi", "2.121.t_mi", 2], ["2.11.ab_k", "2.121.t_mi", 2], ["2.11.h_bi", "2.121.t_mi", 2]], "weak_equivalence_count": 6, "zfv_index": 98, "zfv_index_factorization": [[2, 1], [7, 2]], "zfv_is_bass": true, "zfv_is_maximal": false, "zfv_pic_size": 42, "zfv_plus_index": 1, "zfv_plus_index_factorization": [], "zfv_plus_norm": 980, "zfv_singular_count": 4, "zfv_singular_primes": ["7,4*V+8", "2,7*F+7"]}