# Stored data for abelian variety isogeny class 2.43.ax_ij, downloaded from the LMFDB on 27 March 2026.
{"abvar_count": 1055, "abvar_counts": [1055, 3248345, 6308637305, 11693538506525, 21614336225262000, 39960415703458055705, 73885489152015696544205, 136614031822157724887093525, 252599330392391419613683458755, 467056167589375823476207621728000], "abvar_counts_str": "1055 3248345 6308637305 11693538506525 21614336225262000 39960415703458055705 73885489152015696544205 136614031822157724887093525 252599330392391419613683458755 467056167589375823476207621728000 ", "all_polarized_product": false, "all_unpolarized_product": false, "angle_corank": 0, "angle_rank": 2, "angles": [0.0878968508670004, 0.209239299354085], "center_dim": 4, "cohen_macaulay_max": 1, "curve_count": 21, "curve_counts": [21, 1755, 79347, 3420363, 147027856, 6321487215, 271819096017, 11688200798883, 502592605607451, 21611482304584150], "curve_counts_str": "21 1755 79347 3420363 147027856 6321487215 271819096017 11688200798883 502592605607451 21611482304584150 ", "curves": ["y^2=28*x^6+21*x^5+31*x^4+19*x^3+32*x^2+16*x+15", "y^2=27*x^6+42*x^5+17*x^4+22*x^3+36*x^2+15*x+41", "y^2=29*x^6+7*x^5+21*x^4+16*x^3+17*x^2+14*x+18"], "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": ["4.0.20525.1"], "geometric_splitting_field": "4.0.20525.1", "geometric_splitting_polynomials": [[55, -15, 16, -2, 1]], "group_structure_count": 1, "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 3, "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": 3, "label": "2.43.ax_ij", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 2, "newton_coelevation": 2, "newton_elevation": 0, "noncyclic_primes": [], "number_fields": ["4.0.20525.1"], "p": 43, "p_rank": 2, "p_rank_deficit": 0, "pic_prime_gens": [[1, 5, 1, 3]], "poly": [1, -23, 217, -989, 1849], "poly_str": "1 -23 217 -989 1849 ", "primitive_models": [], "principal_polarization_count": 3, "q": 43, "real_poly": [1, -23, 131], "simple_distinct": ["2.43.ax_ij"], "simple_factors": ["2.43.ax_ijA"], "simple_multiplicities": [1], "singular_primes": [], "size": 3, "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "4.0.20525.1", "splitting_polynomials": [[55, -15, 16, -2, 1]], "twist_count": 2, "twists": [["2.43.x_ij", "2.1849.adr_hvp", 2]], "weak_equivalence_count": 1, "zfv_index": 1, "zfv_index_factorization": [], "zfv_is_bass": true, "zfv_is_maximal": true, "zfv_pic_size": 3, "zfv_plus_index": 1, "zfv_plus_index_factorization": [], "zfv_plus_norm": 821, "zfv_singular_count": 0, "zfv_singular_primes": []}