# Stored data for abelian variety isogeny class 2.11.ae_v, downloaded from the LMFDB on 30 September 2025.
{"abvar_count": 95, "abvar_counts": [95, 18145, 1848320, 214129145, 26001559375, 3140547051520, 379537013734295, 45939078548781545, 5560000638793118720, 672764508244404090625], "abvar_counts_str": "95 18145 1848320 214129145 26001559375 3140547051520 379537013734295 45939078548781545 5560000638793118720 672764508244404090625 ", "angle_corank": 0, "angle_rank": 2, "angles": [0.279509202170117, 0.511330591614844], "center_dim": 4, "cohen_macaulay_max": 1, "curve_count": 8, "curve_counts": [8, 148, 1388, 14628, 161448, 1772758, 19476248, 214309188, 2357983028, 25937984148], "curve_counts_str": "8 148 1388 14628 161448 1772758 19476248 214309188 2357983028 25937984148 ", "curves": ["y^2=7*x^6+5*x^3+9*x^2+6*x+5", "y^2=3*x^6+x^5+10*x^4+7*x^3+x^2+4*x+6", "y^2=x^6+7*x^5+x^4+6*x^3+5*x^2+x+6", "y^2=9*x^6+8*x^5+3*x^3+7*x+1", "y^2=x^6+3*x^5+4*x^4+8*x^3+x^2+1", "y^2=10*x^6+9*x^5+4*x^4+7*x^3+7*x^2+7*x+7", "y^2=10*x^6+2*x^5+7*x^4+5*x^3+8*x^2+2*x+1", "y^2=9*x^6+x^5+4*x^4+9*x^3+4*x^2+3*x+6", "y^2=7*x^6+4*x^5+5*x^4+x^3+2*x^2+2*x+2", "y^2=10*x^6+3*x^5+2*x^4+3*x^3+4*x^2+7*x+5", "y^2=10*x^6+8*x^5+3*x^4+9*x^3+4*x^2+8*x+7", "y^2=9*x^6+9*x^5+7*x^4+7*x^3+9*x^2+9"], "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": ["4.0.28625.1"], "geometric_splitting_field": "4.0.28625.1", "geometric_splitting_polynomials": [[76, -18, 19, -2, 1]], "group_structure_count": 1, "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 12, "is_geometrically_simple": true, "is_geometrically_squarefree": true, "is_primitive": true, "is_simple": true, "is_squarefree": true, "is_supersingular": false, "jacobian_count": 12, "label": "2.11.ae_v", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 2, "newton_coelevation": 2, "newton_elevation": 0, "number_fields": ["4.0.28625.1"], "p": 11, "p_rank": 2, "p_rank_deficit": 0, "poly": [1, -4, 21, -44, 121], "poly_str": "1 -4 21 -44 121 ", "primitive_models": [], "q": 11, "real_poly": [1, -4, -1], "simple_distinct": ["2.11.ae_v"], "simple_factors": ["2.11.ae_vA"], "simple_multiplicities": [1], "singular_primes": ["2,-F^2-F+9"], "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "4.0.28625.1", "splitting_polynomials": [[76, -18, 19, -2, 1]], "twist_count": 2, "twists": [["2.11.e_v", "2.121.ba_mt", 2]], "weak_equivalence_count": 2, "zfv_index": 4, "zfv_index_factorization": [[2, 2]], "zfv_is_bass": true, "zfv_is_maximal": false, "zfv_plus_index": 2, "zfv_plus_index_factorization": [[2, 1]], "zfv_plus_norm": 1145, "zfv_singular_count": 2, "zfv_singular_primes": ["2,-F^2-F+9"]}