# Stored data for abelian variety isogeny class 2.11.a_ac, downloaded from the LMFDB on 16 December 2025.
{"abvar_count": 120, "abvar_counts": [120, 14400, 1772280, 221414400, 25937283000, 3140976398400, 379749856772280, 45938000465510400, 5559917310046435320, 672742649422089000000], "abvar_counts_str": "120 14400 1772280 221414400 25937283000 3140976398400 379749856772280 45938000465510400 5559917310046435320 672742649422089000000 ", "all_polarized_product": false, "all_unpolarized_product": false, "angle_corank": 1, "angle_rank": 1, "angles": [0.235511365082072, 0.764488634917928], "center_dim": 4, "cohen_macaulay_max": 2, "curve_count": 12, "curve_counts": [12, 118, 1332, 15118, 161052, 1772998, 19487172, 214304158, 2357947692, 25937141398], "curve_counts_str": "12 118 1332 15118 161052 1772998 19487172 214304158 2357947692 25937141398 ", "curves": ["y^2=10*x^5+10*x^3+5*x^2+9*x", "y^2=9*x^5+9*x^3+10*x^2+7*x", "y^2=4*x^6+5*x^5+x^4+x^3+9*x^2+9*x+3", "y^2=6*x^6+8*x^5+9*x^4+6*x^3+2*x^2+6*x+7", "y^2=x^6+5*x^5+7*x^4+x^3+4*x^2+x+3", "y^2=8*x^6+9*x^5+10*x^4+4*x^3+2*x^2+2*x+7", "y^2=8*x^5+8*x^4+2*x^3+6*x^2+8*x+1", "y^2=2*x^5+7*x^4+x^3+2*x^2+7*x+3", "y^2=4*x^6+8*x^5+7*x^4+5*x^3+6*x^2+9*x+4", "y^2=4*x^6+8*x^5+5*x^4+8*x^3+4*x^2+2*x+4", "y^2=8*x^6+5*x^5+10*x^4+5*x^3+8*x^2+4*x+8", "y^2=6*x^6+10*x^5+9*x^4+4*x^3+7*x^2+4*x+9", "y^2=x^6+9*x^5+7*x^4+8*x^3+3*x^2+8*x+7", "y^2=7*x^6+2*x^5+8*x^4+4*x^3+3*x^2+8*x+9", "y^2=3*x^6+4*x^5+5*x^4+8*x^3+6*x^2+5*x+7", "y^2=x^6+7*x^4+x^3+6*x^2+8*x+7", "y^2=7*x^6+4*x^5+5*x^4+9*x^3+8*x^2+7*x", "y^2=3*x^6+8*x^5+10*x^4+7*x^3+5*x^2+3*x", "y^2=3*x^6+10*x^5+7*x^4+x^3+3*x^2+7*x+4", "y^2=5*x^6+10*x^5+3*x^4+3*x^3+10*x^2+6*x+3", "y^2=9*x^6+5*x^5+6*x^4+2*x^3+8*x^2+8*x+1", "y^2=7*x^6+10*x^5+x^4+4*x^3+5*x^2+5*x+2"], "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": 4, "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": 2, "geometric_galois_groups": ["2T1"], "geometric_number_fields": ["2.0.120.1"], "geometric_splitting_field": "2.0.120.1", "geometric_splitting_polynomials": [[30, 0, 1]], "group_structure_count": 3, "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 22, "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": 22, "label": "2.11.a_ac", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 4, "newton_coelevation": 2, "newton_elevation": 0, "noncyclic_primes": [2], "number_fields": ["4.0.57600.5"], "p": 11, "p_rank": 2, "p_rank_deficit": 0, "pic_prime_gens": [[1, 3, 1, 8], [1, 3, 2, 8], [1, 5, 1, 4]], "poly": [1, 0, -2, 0, 121], "poly_str": "1 0 -2 0 121 ", "primitive_models": [], "principal_polarization_count": 28, "q": 11, "real_poly": [1, 0, -24], "simple_distinct": ["2.11.a_ac"], "simple_factors": ["2.11.a_acA"], "simple_multiplicities": [1], "singular_primes": ["2,V+1"], "size": 76, "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "4.0.57600.5", "splitting_polynomials": [[81, 0, 12, 0, 1]], "twist_count": 2, "twists": [["2.11.a_c", "2.14641.si_excw", 4]], "weak_equivalence_count": 5, "zfv_index": 8, "zfv_index_factorization": [[2, 3]], "zfv_is_bass": false, "zfv_is_maximal": false, "zfv_pic_size": 32, "zfv_plus_index": 2, "zfv_plus_index_factorization": [[2, 1]], "zfv_plus_norm": 400, "zfv_singular_count": 2, "zfv_singular_primes": ["2,V+1"]}