# Stored data for abelian variety isogeny class 2.5.d_i, downloaded from the LMFDB on 03 March 2026.
{"abvar_count": 52, "abvar_counts": [52, 832, 15808, 389376, 9225892, 249892864, 6130116772, 152101168128, 3814694762944, 95326492186432], "abvar_counts_str": "52 832 15808 389376 9225892 249892864 6130116772 152101168128 3814694762944 95326492186432 ", "all_polarized_product": false, "all_unpolarized_product": false, "angle_corank": 1, "angle_rank": 1, "angles": [0.459924988886651, 0.793258322219984], "center_dim": 4, "cohen_macaulay_max": 1, "curve_count": 9, "curve_counts": [9, 33, 126, 625, 2949, 15990, 78465, 389377, 1953126, 9761433], "curve_counts_str": "9 33 126 625 2949 15990 78465 389377 1953126 9761433 ", "curves": ["y^2=4*x^6+3*x^5+2*x^4+3*x^3+2*x+2", "y^2=x^6+4*x^5+3*x^4+x^3+3*x^2+2*x+1", "y^2=x^5+4*x^4+3*x^2+x+4", "y^2=x^6+4*x^5+3*x^3+3*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": 3, "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": 6, "geometric_galois_groups": ["2T1"], "geometric_number_fields": ["2.0.51.1"], "geometric_splitting_field": "2.0.51.1", "geometric_splitting_polynomials": [[13, -1, 1]], "group_structure_count": 2, "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 4, "is_cyclic": false, "is_geometrically_simple": false, "is_geometrically_squarefree": false, "is_primitive": true, "is_simple": true, "is_squarefree": true, "is_supersingular": false, "jacobian_count": 4, "label": "2.5.d_i", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 12, "newton_coelevation": 2, "newton_elevation": 0, "noncyclic_primes": [2], "number_fields": ["4.0.2601.1"], "p": 5, "p_rank": 2, "p_rank_deficit": 0, "pic_prime_gens": [[1, 3, 1, 2]], "poly": [1, 3, 8, 15, 25], "poly_str": "1 3 8 15 25 ", "primitive_models": [], "principal_polarization_count": 4, "q": 5, "real_poly": [1, 3, -2], "simple_distinct": ["2.5.d_i"], "simple_factors": ["2.5.d_iA"], "simple_multiplicities": [1], "singular_primes": ["2,3*F-5"], "size": 4, "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "4.0.2601.1", "splitting_polynomials": [[16, 4, 5, -1, 1]], "twist_count": 4, "twists": [["2.5.ad_i", "2.25.h_y", 2], ["2.5.ad_i", "2.125.a_ha", 3], ["2.5.a_ah", "2.125.a_ha", 3], ["2.5.a_ah", "2.15625.oa_drfy", 6], ["2.5.a_h", "2.244140625.afoe_bpkeyqg", 12]], "weak_equivalence_count": 3, "zfv_index": 4, "zfv_index_factorization": [[2, 2]], "zfv_is_bass": true, "zfv_is_maximal": false, "zfv_pic_size": 2, "zfv_plus_index": 1, "zfv_plus_index_factorization": [], "zfv_plus_norm": 144, "zfv_singular_count": 2, "zfv_singular_primes": ["2,3*F-5"]}