# Stored data for abelian variety isogeny class 2.5.f_q, downloaded from the LMFDB on 05 September 2025.
{"abvar_count": 72, "abvar_counts": [72, 864, 11232, 432000, 9845352, 239376384, 6147842472, 152549568000, 3811808344032, 95392127486304], "abvar_counts_str": "72 864 11232 432000 9845352 239376384 6147842472 152549568000 3811808344032 95392127486304 ", "all_polarized_product": true, "all_unpolarized_product": true, "angle_corank": 0, "angle_rank": 2, "angles": [0.647583617650433, 0.73405785978537], "center_dim": 4, "cohen_macaulay_max": 1, "curve_count": 11, "curve_counts": [11, 33, 86, 689, 3151, 15318, 78691, 390529, 1951646, 9768153], "curve_counts_str": "11 33 86 689 3151 15318 78691 390529 1951646 9768153 ", "curves": [], "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": ["2.0.4.1", "2.0.11.1"], "geometric_splitting_field": "4.0.1936.1", "geometric_splitting_polynomials": [[9, 0, -5, 0, 1]], "group_structure_count": 2, "has_geom_ss_factor": false, "has_jacobian": -1, "has_principal_polarization": 1, "hyp_count": 0, "is_geometrically_simple": false, "is_geometrically_squarefree": true, "is_primitive": true, "is_simple": false, "is_squarefree": true, "is_supersingular": false, "jacobian_count": 0, "label": "2.5.f_q", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 4, "newton_coelevation": 2, "newton_elevation": 0, "number_fields": ["2.0.4.1", "2.0.11.1"], "p": 5, "p_rank": 2, "p_rank_deficit": 0, "pic_prime_gens": [], "poly": [1, 5, 16, 25, 25], "poly_str": "1 5 16 25 25 ", "primitive_models": [], "principal_polarization_count": 2, "q": 5, "real_poly": [1, 5, 6], "simple_distinct": ["1.5.c", "1.5.d"], "simple_factors": ["1.5.cA", "1.5.dA"], "simple_multiplicities": [1, 1], "singular_primes": ["2,F^2+3*F"], "size": 2, "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "4.0.1936.1", "splitting_polynomials": [[9, 0, -5, 0, 1]], "twist_count": 8, "twists": [["2.5.af_q", "2.25.h_ce", 2], ["2.5.ab_e", "2.25.h_ce", 2], ["2.5.b_e", "2.25.h_ce", 2], ["2.5.ah_w", "2.625.cl_cwm", 4], ["2.5.ab_ac", "2.625.cl_cwm", 4], ["2.5.b_ac", "2.625.cl_cwm", 4], ["2.5.h_w", "2.625.cl_cwm", 4]], "weak_equivalence_count": 2, "zfv_index": 2, "zfv_index_factorization": [[2, 1]], "zfv_is_bass": true, "zfv_is_maximal": false, "zfv_pic_size": 1, "zfv_plus_index": 1, "zfv_plus_index_factorization": [], "zfv_plus_norm": 176, "zfv_singular_count": 2, "zfv_singular_primes": ["2,F^2+3*F"]}