# Stored data for abelian variety isogeny class 2.23.al_cn, downloaded from the LMFDB on 17 February 2026.
{"abvar_count": 331, "abvar_counts": [331, 284329, 148717969, 78130481581, 41409806217616, 21917978276337841, 11593602896189906461, 6132664414232187980949, 3244151009847898941114031, 1716155863098953973291937024], "abvar_counts_str": "331 284329 148717969 78130481581 41409806217616 21917978276337841 11593602896189906461 6132664414232187980949 3244151009847898941114031 1716155863098953973291937024 ", "all_polarized_product": false, "all_unpolarized_product": false, "angle_corank": 0, "angle_rank": 2, "angles": [0.125643553687156, 0.428178140927574], "center_dim": 4, "cohen_macaulay_max": 1, "curve_count": 13, "curve_counts": [13, 539, 12223, 279195, 6433748, 148058543, 3405050585, 78311674819, 1801152716959, 41426511980414], "curve_counts_str": "13 539 12223 279195 6433748 148058543 3405050585 78311674819 1801152716959 41426511980414 ", "curves": ["y^2=14*x^6+2*x^5+x^4+17*x^3+15*x^2+9*x+22", "y^2=15*x^6+20*x^5+20*x^4+19*x^3+3*x^2+18*x+7", "y^2=20*x^6+20*x^5+15*x^4+3*x^3+x^2+10*x+21", "y^2=21*x^6+20*x^4+18*x^3+2*x^2+21*x+17", "y^2=7*x^6+22*x^5+14*x^4+7*x^3+5*x^2+8*x+9", "y^2=10*x^6+13*x^5+2*x^4+10*x^3+20*x^2+14*x+17"], "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": 2, "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": ["4.0.29725.1"], "geometric_splitting_field": "4.0.29725.1", "geometric_splitting_polynomials": [[81, -9, 17, -1, 1]], "group_structure_count": 1, "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 6, "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": 6, "label": "2.23.al_cn", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 2, "newton_coelevation": 2, "newton_elevation": 0, "noncyclic_primes": [], "number_fields": ["4.0.29725.1"], "p": 23, "p_rank": 2, "p_rank_deficit": 0, "pic_prime_gens": [[1, 29, 1, 2], [1, 31, 1, 2]], "poly": [1, -11, 65, -253, 529], "poly_str": "1 -11 65 -253 529 ", "primitive_models": [], "principal_polarization_count": 6, "q": 23, "real_poly": [1, -11, 19], "simple_distinct": ["2.23.al_cn"], "simple_factors": ["2.23.al_cnA"], "simple_multiplicities": [1], "singular_primes": ["3,-10*F^2-3*F-V+14"], "size": 6, "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "4.0.29725.1", "splitting_polynomials": [[81, -9, 17, -1, 1]], "twist_count": 2, "twists": [["2.23.l_cn", "2.529.j_akx", 2]], "weak_equivalence_count": 2, "zfv_index": 9, "zfv_index_factorization": [[3, 2]], "zfv_is_bass": true, "zfv_is_maximal": false, "zfv_pic_size": 4, "zfv_plus_index": 3, "zfv_plus_index_factorization": [[3, 1]], "zfv_plus_norm": 1189, "zfv_singular_count": 2, "zfv_singular_primes": ["3,-10*F^2-3*F-V+14"]}