# Stored data for abelian variety isogeny class 2.13.ac_t, downloaded from the LMFDB on 14 May 2026.
{"abvar_count": 161, "abvar_counts": [161, 34937, 4886672, 816722249, 138140196201, 23278072552448, 3935710960479137, 665448980992054217, 112459095120579951632, 19004957217422261625897], "abvar_counts_str": "161 34937 4886672 816722249 138140196201 23278072552448 3935710960479137 665448980992054217 112459095120579951632 19004957217422261625897 ", "all_polarized_product": false, "all_unpolarized_product": false, "angle_corank": 0, "angle_rank": 2, "angles": [0.321851226345849, 0.581600614125801], "center_dim": 4, "cohen_macaulay_max": 1, "curve_count": 12, "curve_counts": [12, 204, 2226, 28596, 372052, 4822662, 62721972, 815770404, 10604847162, 137858444284], "curve_counts_str": "12 204 2226 28596 372052 4822662 62721972 815770404 10604847162 137858444284 ", "curves": ["y^2=5*x^6+8*x^5+2*x^4+2*x^3+12*x^2+11*x+10", "y^2=2*x^6+11*x^5+3*x^4+9*x^3+12*x+10", "y^2=2*x^6+6*x^5+9*x^4+3*x^3+3*x+5", "y^2=3*x^6+6*x^5+6*x^4+9*x^3+10*x^2+12*x+3", "y^2=12*x^6+8*x^5+x^4+9*x^3+12*x^2+12", "y^2=8*x^6+11*x^5+8*x^4+11*x^3+5*x^2+8*x+7", "y^2=8*x^6+3*x^5+2*x^4+10*x^3+6*x^2+6*x+6", "y^2=2*x^6+12*x^5+4*x^4+4*x^3+8*x^2+12*x+7", "y^2=4*x^6+x^5+x^4+x^3+8*x^2+9*x+3", "y^2=10*x^6+6*x^5+9*x^4+8*x^2+10*x+5", "y^2=7*x^6+4*x^5+7*x^4+5*x^3+9*x^2+6*x+11", "y^2=4*x^6+6*x^5+x^4+12*x^3+7*x^2+12*x+7", "y^2=8*x^6+5*x^5+11*x^4+8*x^3+10*x^2+10*x+9", "y^2=11*x^6+3*x^5+11*x^4+4*x^3+x^2+8*x+8", "y^2=4*x^6+2*x^5+x^4+4*x^3+4*x^2+10*x+4", "y^2=12*x^6+3*x^5+3*x^4+5*x^3+7*x^2+12*x+2", "y^2=8*x^6+7*x^5+3*x^4+12*x^3+x^2+9", "y^2=12*x^6+12*x^5+3*x^4+4*x^3+3*x^2+5*x+6"], "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": 2, "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": ["4.0.116288.1"], "geometric_splitting_field": "4.0.116288.1", "geometric_splitting_polynomials": [[119, -22, 23, -2, 1]], "group_structure_count": 1, "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 18, "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": 18, "label": "2.13.ac_t", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 2, "newton_coelevation": 2, "newton_elevation": 0, "noncyclic_primes": [], "number_fields": ["4.0.116288.1"], "p": 13, "p_rank": 2, "p_rank_deficit": 0, "pic_prime_gens": [[1, 7, 1, 6], [1, 7, 2, 6]], "poly": [1, -2, 19, -26, 169], "poly_str": "1 -2 19 -26 169 ", "primitive_models": [], "principal_polarization_count": 18, "q": 13, "real_poly": [1, -2, -7], "simple_distinct": ["2.13.ac_t"], "simple_factors": ["2.13.ac_tA"], "simple_multiplicities": [1], "singular_primes": ["2,-3*F^2+4*F+V"], "size": 18, "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "4.0.116288.1", "splitting_polynomials": [[119, -22, 23, -2, 1]], "twist_count": 2, "twists": [["2.13.c_t", "2.169.bi_wx", 2]], "weak_equivalence_count": 2, "zfv_index": 4, "zfv_index_factorization": [[2, 2]], "zfv_is_bass": true, "zfv_is_maximal": false, "zfv_pic_size": 12, "zfv_plus_index": 2, "zfv_plus_index_factorization": [[2, 1]], "zfv_plus_norm": 1817, "zfv_singular_count": 2, "zfv_singular_primes": ["2,-3*F^2+4*F+V"]}