# Stored data for abelian variety isogeny class 2.23.al_cm, downloaded from the LMFDB on 17 February 2026.
{"abvar_count": 330, "abvar_counts": [330, 283140, 148313880, 78067360800, 41404501035150, 21917600935813440, 11593543119040321230, 6132656857338591465600, 3244151151725578741029240, 1716156055261745420101049700], "abvar_counts_str": "330 283140 148313880 78067360800 41404501035150 21917600935813440 11593543119040321230 6132656857338591465600 3244151151725578741029240 1716156055261745420101049700 ", "all_polarized_product": false, "all_unpolarized_product": false, "angle_corank": 0, "angle_rank": 2, "angles": [0.112386341891082, 0.433137181603982], "center_dim": 4, "cohen_macaulay_max": 1, "curve_count": 13, "curve_counts": [13, 537, 12190, 278969, 6432923, 148055994, 3405033029, 78311578321, 1801152795730, 41426516619057], "curve_counts_str": "13 537 12190 278969 6432923 148055994 3405033029 78311578321 1801152795730 41426516619057 ", "curves": ["y^2=4*x^6+14*x^5+9*x^4+13*x^3+17*x^2+13*x+5", "y^2=8*x^6+20*x^5+13*x^4+13*x^3+17*x^2+15*x+9", "y^2=18*x^5+11*x^4+11*x^3+13*x^2+12*x+11", "y^2=3*x^6+19*x^5+12*x^4+18*x+5", "y^2=11*x^6+6*x^5+9*x^4+12*x^3+21*x^2+11*x+10", "y^2=14*x^6+14*x^5+20*x^4+4*x^3+9*x^2+21*x+20", "y^2=6*x^6+20*x^5+5*x^4+10*x^3+8*x^2+5*x+3", "y^2=10*x^6+21*x^5+12*x^4+10*x^3+3*x^2+8*x+13"], "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": ["2.0.11.1", "2.0.88.1"], "geometric_splitting_field": "4.0.7744.2", "geometric_splitting_polynomials": [[23, -2, 3, -2, 1]], "group_structure_count": 1, "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 8, "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": 8, "label": "2.23.al_cm", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 2, "newton_coelevation": 2, "newton_elevation": 0, "noncyclic_primes": [], "number_fields": ["2.0.11.1", "2.0.88.1"], "p": 23, "p_rank": 2, "p_rank_deficit": 0, "pic_prime_gens": [[2, 2, 1, 6], [1, 3, 1, 24]], "poly": [1, -11, 64, -253, 529], "poly_str": "1 -11 64 -253 529 ", "primitive_models": [], "principal_polarization_count": 10, "q": 23, "real_poly": [1, -11, 18], "simple_distinct": ["1.23.aj", "1.23.ac"], "simple_factors": ["1.23.ajA", "1.23.acA"], "simple_multiplicities": [1, 1], "singular_primes": ["7,-2*F^2+25*F-53"], "size": 50, "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "4.0.7744.2", "splitting_polynomials": [[23, -2, 3, -2, 1]], "twist_count": 4, "twists": [["2.23.ah_bc", "2.529.h_apw", 2], ["2.23.h_bc", "2.529.h_apw", 2], ["2.23.l_cm", "2.529.h_apw", 2]], "weak_equivalence_count": 2, "zfv_index": 49, "zfv_index_factorization": [[7, 2]], "zfv_is_bass": true, "zfv_is_maximal": false, "zfv_pic_size": 48, "zfv_plus_index": 1, "zfv_plus_index_factorization": [], "zfv_plus_norm": 968, "zfv_singular_count": 2, "zfv_singular_primes": ["7,-2*F^2+25*F-53"]}