# Stored data for abelian variety isogeny class 2.23.g_cd, downloaded from the LMFDB on 19 December 2025.
{"abvar_count": 729, "abvar_counts": [729, 321489, 143712144, 78137579961, 41491852967889, 21912236678174976, 11592206576576623089, 6132682925916067787049, 3244153569049138779326736, 1716154765625985690177914049], "abvar_counts_str": "729 321489 143712144 78137579961 41491852967889 21912236678174976 11592206576576623089 6132682925916067787049 3244153569049138779326736 1716154765625985690177914049 ", "angle_corank": 1, "angle_rank": 1, "angles": [0.60125744937186, 0.60125744937186], "center_dim": 2, "curve_count": 30, "curve_counts": [30, 604, 11808, 279220, 6446490, 148019758, 3404640486, 78311911204, 1801154137824, 41426485488364], "curve_counts_str": "30 604 11808 279220 6446490 148019758 3404640486 78311911204 1801154137824 41426485488364 ", "curves": ["y^2=17*x^6+7*x^5+x^4+8*x^3+3*x^2+15*x+21", "y^2=8*x^6+22*x^5+22*x^4+19*x^3+22*x^2+22*x+8", "y^2=16*x^6+6*x^4+9*x^3+13*x^2+6", "y^2=18*x^6+18*x^5+3*x^4+22*x^3+3*x^2+18*x+18", "y^2=x^6+12*x^5+16*x^4+19*x^3+14*x^2+14*x+22", "y^2=6*x^6+11*x^5+15*x^4+7*x^3+15*x^2+5*x+6", "y^2=9*x^6+19*x^5+x^4+14*x^3+x^2+19*x+9", "y^2=12*x^6+17*x^5+5*x^4+22*x^3+5*x^2+17*x+12", "y^2=15*x^6+16*x^5+8*x^4+7*x^3+8*x^2+16*x+15", "y^2=x^6+11*x^5+2*x^4+19*x^3+2*x^2+11*x+1", "y^2=16*x^6+10*x^4+10*x^3+10*x^2+16", "y^2=17*x^6+19*x^5+4*x^4+5*x^3+4*x^2+19*x+17", "y^2=12*x^6+21*x^5+21*x^4+13*x^3+21*x^2+21*x+12", "y^2=4*x^6+13*x^5+2*x^4+21*x^3+2*x^2+13*x+4", "y^2=x^6+7*x^5+12*x^4+x^3+2*x^2+20*x+18"], "dim1_distinct": 1, "dim1_factors": 2, "dim2_distinct": 0, "dim2_factors": 0, "dim3_distinct": 0, "dim3_factors": 0, "dim4_distinct": 0, "dim4_factors": 0, "dim5_distinct": 0, "dim5_factors": 0, "g": 2, "galois_groups": ["2T1"], "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": 1, "geometric_galois_groups": ["2T1"], "geometric_number_fields": ["2.0.83.1"], "geometric_splitting_field": "2.0.83.1", "geometric_splitting_polynomials": [[21, -1, 1]], "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 15, "is_cyclic": false, "is_geometrically_simple": false, "is_geometrically_squarefree": false, "is_primitive": true, "is_simple": false, "is_squarefree": false, "is_supersingular": false, "jacobian_count": 15, "label": "2.23.g_cd", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 6, "newton_coelevation": 2, "newton_elevation": 0, "noncyclic_primes": [3], "number_fields": ["2.0.83.1"], "p": 23, "p_rank": 2, "p_rank_deficit": 0, "poly": [1, 6, 55, 138, 529], "poly_str": "1 6 55 138 529 ", "primitive_models": [], "q": 23, "real_poly": [1, 6, 9], "simple_distinct": ["1.23.d"], "simple_factors": ["1.23.dA", "1.23.dB"], "simple_multiplicities": [2], "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "2.0.83.1", "splitting_polynomials": [[21, -1, 1]], "twist_count": 6, "twists": [["2.23.ag_cd", "2.529.cw_dpj", 2], ["2.23.a_bl", "2.529.cw_dpj", 2], ["2.23.ad_ao", "2.12167.anw_dfyc", 3], ["2.23.a_abl", "2.279841.axy_bljah", 4], ["2.23.d_ao", "2.148035889.axwm_bekgxdm", 6]]}