# Stored data for abelian variety isogeny class 2.17.al_ck, downloaded from the LMFDB on 06 October 2026.
{"abvar_count": 154, "abvar_counts": [154, 84700, 24906112, 7026712000, 2017227550954, 582618715571200, 168383383307588218, 48662203092791904000, 14063141011230982642048, 4064229053264910897713500], "abvar_counts_str": "154 84700 24906112 7026712000 2017227550954 582618715571200 168383383307588218 48662203092791904000 14063141011230982642048 4064229053264910897713500 ", "all_polarized_product": false, "all_unpolarized_product": false, "angle_corank": 0, "angle_rank": 2, "angles": [0.177280642488854, 0.338793663196658], "center_dim": 4, "cohen_macaulay_max": 1, "curve_count": 7, "curve_counts": [7, 293, 5068, 84129, 1420727, 24137426, 410352215, 6975902401, 118588353436, 2015992733093], "curve_counts_str": "7 293 5068 84129 1420727 24137426 410352215 6975902401 118588353436 2015992733093 ", "curves": ["y^2=10*x^6+16*x^5+12*x^4+7*x^3+3*x^2+14*x+5", "y^2=11*x^6+2*x^5+6*x^4+4*x^3+11*x^2+8*x+16", "y^2=15*x^6+7*x^5+5*x^4+12*x^3+13*x^2+14*x+14", "y^2=7*x^6+13*x^5+2*x^3+6*x^2+5*x+14"], "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": 2, "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": ["2.0.19.1", "2.0.52.1"], "geometric_splitting_field": "4.0.976144.3", "geometric_splitting_polynomials": [[77, -36, 37, -2, 1]], "group_structure_count": 1, "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 4, "is_cyclic": true, "is_geometrically_simple": false, "is_geometrically_squarefree": true, "is_primitive": true, "is_simple": false, "is_squarefree": true, "is_supersingular": false, "jacobian_count": 4, "label": "2.17.al_ck", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 2, "newton_coelevation": 2, "newton_elevation": 0, "noncyclic_primes": [], "number_fields": ["2.0.19.1", "2.0.52.1"], "p": 17, "p_rank": 2, "p_rank_deficit": 0, "pic_prime_gens": [[2, 2, 1, 2], [1, 5, 1, 4]], "poly": [1, -11, 62, -187, 289], "poly_str": "1 -11 62 -187 289 ", "primitive_models": [], "principal_polarization_count": 6, "q": 17, "real_poly": [1, -11, 28], "simple_distinct": ["1.17.ah", "1.17.ae"], "simple_factors": ["1.17.ahA", "1.17.aeA"], "simple_multiplicities": [1, 1], "singular_primes": ["3,2*F^2-4*V+50"], "size": 10, "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "4.0.976144.3", "splitting_polynomials": [[77, -36, 37, -2, 1]], "twist_count": 4, "twists": [["2.17.ad_g", "2.289.d_lw", 2], ["2.17.d_g", "2.289.d_lw", 2], ["2.17.l_ck", "2.289.d_lw", 2]], "weak_equivalence_count": 2, "zfv_index": 9, "zfv_index_factorization": [[3, 2]], "zfv_is_bass": true, "zfv_is_maximal": false, "zfv_pic_size": 8, "zfv_plus_index": 1, "zfv_plus_index_factorization": [], "zfv_plus_norm": 988, "zfv_singular_count": 2, "zfv_singular_primes": ["3,2*F^2-4*V+50"]}