# Stored data for abelian variety isogeny class 2.23.al_cp, downloaded from the LMFDB on 17 February 2026.
{"abvar_count": 333, "abvar_counts": [333, 286713, 149527323, 78253439229, 41418293691888, 21918113794710441, 11593613907778242519, 6132666771128254947093, 3244149564556170503471337, 1716155370596801235121913088], "abvar_counts_str": "333 286713 149527323 78253439229 41418293691888 21918113794710441 11593613907778242519 6132666771128254947093 3244149564556170503471337 1716155370596801235121913088 ", "all_polarized_product": false, "all_unpolarized_product": false, "angle_corank": 0, "angle_rank": 2, "angles": [0.15035436713852, 0.417487041857173], "center_dim": 4, "cohen_macaulay_max": 1, "curve_count": 13, "curve_counts": [13, 543, 12289, 279635, 6435068, 148059459, 3405053819, 78311704915, 1801151914531, 41426500091838], "curve_counts_str": "13 543 12289 279635 6435068 148059459 3405053819 78311704915 1801151914531 41426500091838 ", "curves": ["y^2=18*x^6+18*x^5+14*x^4+14*x^3+17*x^2+15*x+17", "y^2=5*x^6+19*x^5+22*x^4+19*x^3+8*x^2+7*x+17", "y^2=11*x^6+17*x^4+18*x^3+11*x^2+7*x+20", "y^2=x^6+18*x^5+19*x^4+20*x^3+17*x^2+3*x+14", "y^2=15*x^6+21*x^5+22*x^4+2*x^3+6*x^2+4*x+9", "y^2=11*x^6+13*x^5+x^4+15*x^3+22*x^2+17", "y^2=13*x^6+10*x^5+13*x^4+4*x^3+16*x+1", "y^2=15*x^6+4*x^5+3*x^4+13*x^3+6*x^2+10*x+10", "y^2=7*x^6+22*x^5+12*x^4+12*x^3+14*x^2+21*x+2"], "dim1_distinct": 0, "dim1_factors": 0, "dim2_distinct": 1, "dim2_factors": 1, "dim3_distinct": 0, "dim3_factors": 0, "dim4_distinct": 0, "dim4_factors": 0, "dim5_distinct": 0, "dim5_factors": 0, "endomorphism_ring_count": 1, "g": 2, "galois_groups": ["4T3"], "geom_dim1_distinct": 0, "geom_dim1_factors": 0, "geom_dim2_distinct": 1, "geom_dim2_factors": 1, "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": ["4T3"], "geometric_number_fields": ["4.0.2241053.1"], "geometric_splitting_field": "4.0.2241053.1", "geometric_splitting_polynomials": [[157, 40, 22, -1, 1]], "group_structure_count": 1, "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 9, "is_cyclic": true, "is_geometrically_simple": true, "is_geometrically_squarefree": true, "is_primitive": true, "is_simple": true, "is_squarefree": true, "is_supersingular": false, "jacobian_count": 9, "label": "2.23.al_cp", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 2, "newton_coelevation": 2, "newton_elevation": 0, "noncyclic_primes": [], "number_fields": ["4.0.2241053.1"], "p": 23, "p_rank": 2, "p_rank_deficit": 0, "pic_prime_gens": [[1, 3, 1, 9]], "poly": [1, -11, 67, -253, 529], "poly_str": "1 -11 67 -253 529 ", "primitive_models": [], "principal_polarization_count": 9, "q": 23, "real_poly": [1, -11, 21], "simple_distinct": ["2.23.al_cp"], "simple_factors": ["2.23.al_cpA"], "simple_multiplicities": [1], "singular_primes": [], "size": 9, "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "4.0.2241053.1", "splitting_polynomials": [[157, 40, 22, -1, 1]], "twist_count": 2, "twists": [["2.23.l_cp", "2.529.n_at", 2]], "weak_equivalence_count": 1, "zfv_index": 1, "zfv_index_factorization": [], "zfv_is_bass": true, "zfv_is_maximal": true, "zfv_pic_size": 9, "zfv_plus_index": 1, "zfv_plus_index_factorization": [], "zfv_plus_norm": 1637, "zfv_singular_count": 0, "zfv_singular_primes": []}