# Stored data for abelian variety isogeny class 3.11.d_p_be, downloaded from the LMFDB on 06 October 2026.
{"abvar_count": 1908, "abvar_counts": [1908, 2129328, 2325844368, 3205268921088, 4178084422166748, 5557529759978476800, 7394128767792923511492, 9849108429597196005322752, 13111172066244525314817603888, 17449237108803346943338852212528], "abvar_counts_str": "1908 2129328 2325844368 3205268921088 4178084422166748 5557529759978476800 7394128767792923511492 9849108429597196005322752 13111172066244525314817603888 17449237108803346943338852212528 ", "angle_corank": 0, "angle_rank": 3, "angles": [0.298489733980124, 0.586722556015653, 0.782147048426464], "center_dim": 6, "curve_count": 15, "curve_counts": [15, 143, 1314, 14951, 161085, 1770800, 19471047, 214345295, 2358159534, 25937179103], "curve_counts_str": "15 143 1314 14951 161085 1770800 19471047 214345295 2358159534 25937179103 ", "curves": ["y^2=4*x^8+9*x^7+x^6+2*x^4+2*x^3+6*x+8", "y^2=3*x^8+4*x^7+4*x^6+5*x^5+3*x^4+5*x^3+10*x^2+4*x+2", "y^2=2*x^8+x^7+x^6+4*x^5+9*x^4+4*x^2+4", "y^2=x^8+7*x^7+9*x^6+3*x^5+8*x^4+3*x^3+3*x^2+8*x+5", "y^2=10*x^8+8*x^7+10*x^6+10*x^5+x^4+3*x^3+x^2+8*x+10", "y^2=x^8+8*x^7+4*x^6+7*x^5+7*x^4+x^2+4*x+2", "y^2=9*x^8+5*x^7+6*x^6+4*x^5+4*x^4+5*x^3+2*x^2+6*x+7", "y^2=x^8+10*x^7+3*x^6+8*x^5+5*x^4+7*x^3+8*x^2+2*x+2", "y^2=x^8+4*x^6+x^5+9*x^4+5*x^3+9*x^2+3*x+3", "y^2=6*x^8+x^7+3*x^6+6*x^4+8*x^3+8*x^2+2*x+3", "y^2=3*x^8+4*x^7+2*x^6+4*x^5+3*x^3+9*x^2+8*x+3", "y^2=3*x^8+7*x^7+5*x^4+8*x^3+9*x^2+6*x+4", "y^2=5*x^8+x^7+2*x^6+4*x^5+8*x^4+4*x^3+10*x^2+10*x+2", "y^2=4*x^8+3*x^7+7*x^5+9*x^4+3*x^3+10*x^2+4*x+1", "y^2=10*x^8+4*x^7+3*x^6+5*x^4+3*x^3+2*x^2+2*x+8", "y^2=5*x^8+10*x^7+3*x^6+x^5+3*x^4+9*x^3+5*x^2+9*x+9", "y^2=6*x^8+5*x^7+3*x^6+9*x^5+2*x^4+3*x^3+5*x^2+x+3", "y^2=4*x^8+8*x^7+x^5+2*x^4+9*x^3+2*x^2+8*x", "y^2=3*x^8+9*x^7+9*x^6+4*x^5+3*x^4+9*x^3+10*x^2+3*x+5", "y^2=4*x^7+5*x^6+6*x^5+4*x^4+x^3+10*x^2+5*x+10", "y^2=x^7+3*x^6+5*x^5+6*x^3+2*x^2+5*x+8", "y^2=10*x^8+10*x^7+10*x^6+4*x^5+7*x^4+5*x^3+2*x+3", "y^2=7*x^7+5*x^6+9*x^5+9*x^4+5*x^3+3*x^2+9*x+3", "y^2=5*x^8+9*x^7+2*x^6+2*x^5+8*x^4+x^3+3*x^2+x+5", "y^2=2*x^8+10*x^7+3*x^6+10*x^5+8*x^4+8*x^3+8*x^2+2*x+2", "y^2=3*x^8+7*x^7+3*x^6+9*x^5+7*x^3+7*x^2+4*x+6", "y^2=9*x^8+4*x^7+6*x^6+3*x^5+5*x^4+5*x^3+x^2+8*x+10", "y^2=10*x^8+9*x^7+8*x^6+8*x^5+10*x^4+6*x^2+x+4", "y^2=4*x^8+4*x^7+5*x^6+9*x^5+6*x^4+9*x^3+3*x^2+9*x", "y^2=2*x^7+x^6+5*x^5+3*x^4+10*x^3+5*x^2+5*x+5", "y^2=x^8+x^7+8*x^6+2*x^5+4*x^4+10*x^3+9*x^2+4*x+5", "y^2=x^8+5*x^7+5*x^6+7*x^5+10*x^4+2*x^3+8*x^2+5", "y^2=2*x^8+3*x^7+9*x^6+10*x^5+7*x^3+6*x^2+6*x+10", "y^2=6*x^7+5*x^6+10*x^3+9*x+5", "y^2=9*x^8+5*x^7+10*x^6+8*x^5+10*x^3+x^2+5*x+4", "y^2=8*x^8+2*x^7+8*x^6+9*x^5+5*x^4+6*x^3+2*x+10", "y^2=x^8+4*x^7+10*x^6+7*x^5+8*x^4+4*x^3+2*x^2+7*x+2", "y^2=4*x^8+2*x^7+6*x^6+3*x^5+9*x^4+7*x^3+4*x^2+7*x+2"], "dim1_distinct": 0, "dim1_factors": 0, "dim2_distinct": 0, "dim2_factors": 0, "dim3_distinct": 1, "dim3_factors": 1, "dim4_distinct": 0, "dim4_factors": 0, "dim5_distinct": 0, "dim5_factors": 0, "g": 3, "galois_groups": ["6T11"], "geom_dim1_distinct": 0, "geom_dim1_factors": 0, "geom_dim2_distinct": 0, "geom_dim2_factors": 0, "geom_dim3_distinct": 1, "geom_dim3_factors": 1, "geom_dim4_distinct": 0, "geom_dim4_factors": 0, "geom_dim5_distinct": 0, "geom_dim5_factors": 0, "geometric_center_dim": 6, "geometric_extension_degree": 1, "geometric_galois_groups": ["6T11"], "geometric_number_fields": ["6.0.14381280432.1"], "geometric_splitting_field": "6.0.14381280432.1", "geometric_splitting_polynomials": [[761, 15, 156, -9, 18, -3, 1]], "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 38, "is_cyclic": false, "is_geometrically_simple": true, "is_geometrically_squarefree": true, "is_primitive": true, "is_simple": true, "is_squarefree": true, "is_supersingular": false, "label": "3.11.d_p_be", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 2, "newton_coelevation": 4, "newton_elevation": 0, "noncyclic_primes": [2, 3], "number_fields": ["6.0.14381280432.1"], "p": 11, "p_rank": 3, "p_rank_deficit": 0, "poly": [1, 3, 15, 30, 165, 363, 1331], "poly_str": "1 3 15 30 165 363 1331 ", "primitive_models": [], "q": 11, "real_poly": [1, 3, -18, -36], "simple_distinct": ["3.11.d_p_be"], "simple_factors": ["3.11.d_p_beA"], "simple_multiplicities": [1], "slopes": ["0A", "0B", "0C", "1A", "1B", "1C"], "splitting_field": "6.0.14381280432.1", "splitting_polynomials": [[761, 15, 156, -9, 18, -3, 1]], "twist_count": 2, "twists": [["3.11.ad_p_abe", "3.121.v_ol_gsk", 2]]}