# Stored data for abelian variety isogeny class 2.5.ac_e, downloaded from the LMFDB on 25 April 2026.
{"abvar_count": 18, "abvar_counts": [18, 756, 13986, 414288, 10465218, 244950804, 6099083442, 152961758208, 3809261211714, 95257365427476], "abvar_counts_str": "18 756 13986 414288 10465218 244950804 6099083442 152961758208 3809261211714 95257365427476 ", "all_polarized_product": false, "all_unpolarized_product": false, "angle_corank": 0, "angle_rank": 2, "angles": [0.196618866692638, 0.619957764542144], "center_dim": 4, "cohen_macaulay_max": 1, "curve_count": 4, "curve_counts": [4, 30, 112, 662, 3344, 15678, 78068, 391582, 1950340, 9754350], "curve_counts_str": "4 30 112 662 3344 15678 78068 391582 1950340 9754350 ", "curves": ["y^2=2*x^5+x^4+x^2+4*x", "y^2=4*x^5+4*x^4+x^3+x^2+4*x+3", "y^2=4*x^6+2*x^5+3*x^4+2*x^3+3*x+3", "y^2=3*x^6+3*x^4+2*x^3+4*x^2+x+4"], "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": ["4.0.90944.1"], "geometric_splitting_field": "4.0.90944.1", "geometric_splitting_polynomials": [[18, 4, 4, -2, 1]], "group_structure_count": 1, "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 4, "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": 4, "label": "2.5.ac_e", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 2, "newton_coelevation": 2, "newton_elevation": 0, "noncyclic_primes": [], "number_fields": ["4.0.90944.1"], "p": 5, "p_rank": 2, "p_rank_deficit": 0, "pic_prime_gens": [[1, 2, 1, 2], [1, 3, 1, 4]], "poly": [1, -2, 4, -10, 25], "poly_str": "1 -2 4 -10 25 ", "primitive_models": [], "principal_polarization_count": 4, "q": 5, "real_poly": [1, -2, -6], "simple_distinct": ["2.5.ac_e"], "simple_factors": ["2.5.ac_eA"], "simple_multiplicities": [1], "singular_primes": [], "size": 4, "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "4.0.90944.1", "splitting_polynomials": [[18, 4, 4, -2, 1]], "twist_count": 2, "twists": [["2.5.c_e", "2.25.e_ba", 2]], "weak_equivalence_count": 1, "zfv_index": 1, "zfv_index_factorization": [], "zfv_is_bass": true, "zfv_is_maximal": true, "zfv_pic_size": 4, "zfv_plus_index": 1, "zfv_plus_index_factorization": [], "zfv_plus_norm": 116, "zfv_singular_count": 0, "zfv_singular_primes": []}