# Stored data for abelian variety isogeny class 3.13.ad_d_z, downloaded from the LMFDB on 18 March 2026.
{"abvar_count": 1755, "abvar_counts": [1755, 4782375, 10978488495, 23681484084375, 51024119179067775, 112571662548335313375, 247099996406805800581440, 542845925990212138070034375, 1192552247767809783146433127155, 2619962690319166011881636852184375], "abvar_counts_str": "1755 4782375 10978488495 23681484084375 51024119179067775 112571662548335313375 247099996406805800581440 542845925990212138070034375 1192552247767809783146433127155 2619962690319166011881636852184375 ", "angle_corank": 0, "angle_rank": 3, "angles": [0.176419801312953, 0.372027052593186, 0.809147045189016], "center_dim": 6, "curve_count": 11, "curve_counts": [11, 167, 2273, 29027, 370121, 4831799, 62757524, 815798579, 10604667929, 137856757907], "curve_counts_str": "11 167 2273 29027 370121 4831799 62757524 815798579 10604667929 137856757907 ", "curves": ["y^2=x^7+2*x^5+5*x^4+x^3+8*x^2+2*x+11", "y^2=2*x^7+5*x^5+10*x^4+3*x^3+10*x^2+11*x+7", "y^2=x^7+5*x^5+7*x^4+2*x^3+3*x^2+8*x+5", "y^2=x^7+12*x^5+12*x^4+8*x^3+7*x^2+10*x+7", "y^2=x^7+8*x^5+11*x^3+9*x^2+5*x+8", "y^2=x^7+3*x^5+2*x^4+4*x^3+9*x^2+11*x+7", "y^2=2*x^7+7*x^5+2*x^4+8*x^3+11*x^2+2*x+8", "y^2=2*x^7+8*x^5+9*x^4+10*x^3+9*x^2+7*x+5", "y^2=2*x^7+12*x^5+11*x^4+3*x^3+x+11", "y^2=x^7+5*x^5+8*x^4+12*x^3+11*x^2+11*x+11", "y^2=2*x^7+x^5+2*x^4+10*x^3+7*x^2+11*x+8", "y^2=2*x^7+4*x^5+12*x^4+6*x^3+8*x^2+3*x+11", "y^2=2*x^7+9*x^5+4*x^4+6*x^3+3*x^2+8*x+11", "y^2=x^7+4*x^5+7*x^4+6*x^2+4*x+10", "y^2=2*x^7+2*x^5+8*x^3+11*x^2+4*x+7", "y^2=2*x^7+5*x^5+2*x^4+11*x^3+8*x^2+10*x+8", "y^2=2*x^7+x^5+8*x^4+3*x^2+11", "y^2=2*x^7+10*x^5+12*x^4+10*x^3+6*x^2+5*x+11", "y^2=x^7+4*x^3+10*x^2+1", "y^2=2*x^7+2*x^5+12*x^4+x^3+9*x^2+x+8", "y^2=x^7+12*x^5+4*x^4+5*x^3+2*x^2+x+6", "y^2=2*x^7+7*x^5+5*x^4+1", "y^2=2*x^7+7*x^5+4*x^4+5*x^3+9*x^2+2*x+7", "y^2=2*x^7+2*x^5+x^4+3*x^3+5*x^2+8*x+11", "y^2=x^7+8*x^5+8*x^4+7*x^3+9*x^2+3*x+8", "y^2=2*x^7+4*x^5+12*x^4+12*x^3+6*x^2+x+11", "y^2=2*x^7+5*x^5+x^4+10*x^3+11*x^2+2*x+5", "y^2=x^7+7*x^4+4*x^3+6*x^2+3*x+7", "y^2=x^7+x^5+3*x^4+8*x^3+9*x^2+10*x+11", "y^2=x^7+6*x^5+5*x^4+6*x^3+8*x^2+x+8", "y^2=2*x^7+6*x^4+10*x^3+8*x^2+6*x+2", "y^2=2*x^7+2*x^5+x^4+6*x^3+4*x^2+x+8", "y^2=x^7+12*x^5+7*x^4+4*x^3+10*x^2+9*x+12", "y^2=2*x^7+5*x^5+x^4+7*x^2+6*x+2", "y^2=2*x^7+2*x^5+9*x^4+2*x^3+6*x^2+x+8", "y^2=x^7+8*x^5+12*x^4+11*x^3+5*x^2+12*x+9", "y^2=x^7+8*x^5+10*x^4+3*x^3+2*x^2+2*x+7", "y^2=2*x^7+10*x^5+6*x^4+5*x^3+5*x^2+4*x+5", "y^2=x^7+7*x^5+5*x^4+8*x^3+2*x^2+8*x+2", "y^2=2*x^7+12*x^5+7*x^4+7*x^3+8*x^2+12*x+6", "y^2=2*x^7+11*x^5+11*x^4+9*x^2+5*x+8", "y^2=2*x^7+x^5+7*x^4+8*x^3+x^2+3*x+1", "y^2=x^7+4*x^5+7*x^4+3*x^2+10*x+6", "y^2=2*x^7+11*x^5+4*x^4+8*x^3+7*x^2+9*x+7", "y^2=x^7+3*x^5+12*x^4+8*x^3+x^2+2*x+3", "y^2=2*x^7+8*x^5+4*x^4+x^3+12*x^2+2*x+8", "y^2=x^7+x^5+9*x^4+8*x^3+10*x^2+12*x+5", "y^2=x^7+9*x^5+5*x^4+3*x^3+10*x^2+3*x+12", "y^2=2*x^7+6*x^5+11*x^4+6*x^3+2*x^2+x+4", "y^2=2*x^7+2*x^3+8*x^2+4*x+5", "y^2=x^7+2*x^5+6*x^4+12*x^3+8*x^2+9*x+7", "y^2=2*x^7+5*x^4+3*x^3+12*x^2+2*x+8"], "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": ["6T6"], "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": ["6T6"], "geometric_number_fields": ["6.0.299976183.1"], "geometric_splitting_field": "6.0.299976183.1", "geometric_splitting_polynomials": [[265, -23, 93, -15, 17, -1, 1]], "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 52, "is_cyclic": false, "is_geometrically_simple": true, "is_geometrically_squarefree": true, "is_primitive": true, "is_simple": true, "is_squarefree": true, "is_supersingular": false, "label": "3.13.ad_d_z", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 2, "newton_coelevation": 4, "newton_elevation": 0, "noncyclic_primes": [3], "number_fields": ["6.0.299976183.1"], "p": 13, "p_rank": 3, "p_rank_deficit": 0, "poly": [1, -3, 3, 25, 39, -507, 2197], "poly_str": "1 -3 3 25 39 -507 2197 ", "primitive_models": [], "q": 13, "real_poly": [1, -3, -36, 103], "simple_distinct": ["3.13.ad_d_z"], "simple_factors": ["3.13.ad_d_zA"], "simple_multiplicities": [1], "slopes": ["0A", "0B", "0C", "1A", "1B", "1C"], "splitting_field": "6.0.299976183.1", "splitting_polynomials": [[265, -23, 93, -15, 17, -1, 1]], "twist_count": 2, "twists": [["3.13.d_d_az", "3.169.ad_jd_bkz", 2]]}