# Stored data for abelian variety isogeny class 2.23.ai_ck, downloaded from the LMFDB on 24 June 2026.
{"abvar_count": 400, "abvar_counts": [400, 313600, 153264400, 78400000000, 41371910410000, 21908523113478400, 11592939647601984400, 6132694164710400000000, 3244157357725988783904400, 1716155405565441303195040000], "abvar_counts_str": "400 313600 153264400 78400000000 41371910410000 21908523113478400 11592939647601984400 6132694164710400000000 3244157357725988783904400 1716155405565441303195040000 ", "angle_corank": 1, "angle_rank": 1, "angles": [0.363071407864004, 0.363071407864004], "center_dim": 2, "curve_count": 16, "curve_counts": [16, 590, 12592, 280158, 6427856, 147994670, 3404855792, 78312054718, 1801156241296, 41426500935950], "curve_counts_str": "16 590 12592 280158 6427856 147994670 3404855792 78312054718 1801156241296 41426500935950 ", "curves": ["y^2=14*x^6+15*x^5+9*x^4+18*x^3+9*x^2+15*x+14", "y^2=9*x^6+9*x^4+9*x^2+9", "y^2=10*x^6+18*x^5+9*x^4+18*x^3+9*x^2+4", "y^2=5*x^6+13*x^5+12*x^4+4*x^2+4*x+7", "y^2=6*x^5+22*x^4+6*x^3+19*x^2+7*x+8", "y^2=5*x^6+22*x^5+16*x^4+18*x^3+8*x^2+17*x+15", "y^2=17*x^6+22*x^5+8*x^4+10*x^3+8*x^2+22*x+17", "y^2=12*x^5+15*x^4+17*x^3+21*x^2+10*x+10", "y^2=10*x^6+4*x^4+4*x^2+10", "y^2=21*x^6+x^5+16*x^4+14*x^3+16*x^2+x+21", "y^2=13*x^6+13*x^5+10*x^4+13*x^3+2*x^2+5*x", "y^2=20*x^6+17*x^4+20*x^3+15*x^2+21", "y^2=11*x^6+7*x^5+14*x^4+6*x^3+14*x^2+7*x+11", "y^2=19*x^6+14*x^4+14*x^2+19"], "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": ["2.0.19.1"], "geometric_splitting_field": "2.0.19.1", "geometric_splitting_polynomials": [[5, -1, 1]], "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 14, "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": 14, "label": "2.23.ai_ck", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 6, "newton_coelevation": 2, "newton_elevation": 0, "noncyclic_primes": [2, 5], "number_fields": ["2.0.19.1"], "p": 23, "p_rank": 2, "p_rank_deficit": 0, "poly": [1, -8, 62, -184, 529], "poly_str": "1 -8 62 -184 529 ", "primitive_models": [], "q": 23, "real_poly": [1, -8, 16], "simple_distinct": ["1.23.ae"], "simple_factors": ["1.23.aeA", "1.23.aeB"], "simple_multiplicities": [2], "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "2.0.19.1", "splitting_polynomials": [[5, -1, 1]], "twist_count": 6, "twists": [["2.23.a_be", "2.529.ci_cxi", 2], ["2.23.i_ck", "2.529.ci_cxi", 2], ["2.23.e_ah", "2.12167.qi_dymo", 3], ["2.23.a_abe", "2.279841.me_bhgwk", 4], ["2.23.ae_ah", "2.148035889.acizk_cirkzco", 6]]}