# Stored data for abelian variety isogeny class 2.43.ac_abn, downloaded from the LMFDB on 13 April 2026.
{"abvar_count": 1723, "abvar_counts": [1723, 3271977, 6281830564, 11698551310329, 21609012412706923, 39960851019287070096, 73885606198448780968051, 136614052835107153945835625, 252599377806928075326681104836, 467056167524334307529508067642377], "abvar_counts_str": "1723 3271977 6281830564 11698551310329 21609012412706923 39960851019287070096 73885606198448780968051 136614052835107153945835625 252599377806928075326681104836 467056167524334307529508067642377 ", "all_polarized_product": false, "all_unpolarized_product": false, "angle_corank": 1, "angle_rank": 1, "angles": [0.117934720909181, 0.784601387575847], "center_dim": 4, "cohen_macaulay_max": 1, "curve_count": 42, "curve_counts": [42, 1768, 79008, 3421828, 146991642, 6321556078, 271819526622, 11688202596676, 502592699947344, 21611482301574568], "curve_counts_str": "42 1768 79008 3421828 146991642 6321556078 271819526622 11688202596676 502592699947344 21611482301574568 ", "curves": ["y^2=8*x^6+15*x^5+22*x^4+27*x^2+26*x+15", "y^2=20*x^6+8*x^5+16*x^4+26*x^3+33*x^2+17*x+41", "y^2=20*x^6+28*x^5+2*x^4+38*x^3+35*x^2+24*x+17", "y^2=19*x^6+30*x^5+32*x^4+2*x^3+32*x^2+24*x+20", "y^2=3*x^6+3*x^3+22", "y^2=7*x^6+3*x^5+27*x^4+33*x^3+38*x^2+7*x+10", "y^2=22*x^6+11*x^5+16*x^4+26*x^3+21*x^2+26*x+21", "y^2=35*x^6+15*x^5+5*x^4+13*x^3+27*x^2+39*x+14", "y^2=3*x^6+3*x^3+32", "y^2=16*x^6+19*x^5+3*x^4+37*x^3+41*x^2+14*x+36"], "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": 6, "g": 2, "galois_groups": ["4T2"], "geom_dim1_distinct": 1, "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": 2, "geometric_extension_degree": 3, "geometric_galois_groups": ["2T1"], "geometric_number_fields": ["2.0.168.1"], "geometric_splitting_field": "2.0.168.1", "geometric_splitting_polynomials": [[42, 0, 1]], "group_structure_count": 1, "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 10, "is_cyclic": true, "is_geometrically_simple": false, "is_geometrically_squarefree": false, "is_primitive": true, "is_simple": true, "is_squarefree": true, "is_supersingular": false, "jacobian_count": 10, "label": "2.43.ac_abn", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 12, "newton_coelevation": 2, "newton_elevation": 0, "noncyclic_primes": [], "number_fields": ["4.0.28224.6"], "p": 43, "p_rank": 2, "p_rank_deficit": 0, "pic_prime_gens": [[1, 2, 1, 2], [1, 7, 1, 8], [1, 31, 3, 24]], "poly": [1, -2, -39, -86, 1849], "poly_str": "1 -2 -39 -86 1849 ", "primitive_models": [], "principal_polarization_count": 10, "q": 43, "real_poly": [1, -2, -125], "simple_distinct": ["2.43.ac_abn"], "simple_factors": ["2.43.ac_abnA"], "simple_multiplicities": [1], "singular_primes": ["3,3*F^2-F+5", "13,9*F^2-V-8"], "size": 82, "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "4.0.28224.6", "splitting_polynomials": [[196, 0, 14, 0, 1]], "twist_count": 6, "twists": [["2.43.c_abn", "2.1849.ade_hfn", 2], ["2.43.e_dm", "2.79507.atg_mpru", 3], ["2.43.ae_dm", "2.6321363049.kzoe_ctcbyyqg", 6], ["2.43.a_de", "2.6321363049.kzoe_ctcbyyqg", 6], ["2.43.a_ade", "2.39959630797262576401.voeimxw_bkrnmzdxvahyngg", 12]], "weak_equivalence_count": 6, "zfv_index": 117, "zfv_index_factorization": [[3, 2], [13, 1]], "zfv_is_bass": true, "zfv_is_maximal": false, "zfv_pic_size": 48, "zfv_plus_index": 3, "zfv_plus_index_factorization": [[3, 1]], "zfv_plus_norm": 1521, "zfv_singular_count": 4, "zfv_singular_primes": ["3,3*F^2-F+5", "13,9*F^2-V-8"]}