# Stored data for abelian variety isogeny class 2.23.g_ca, downloaded from the LMFDB on 09 October 2026.
{"abvar_count": 726, "abvar_counts": [726, 317988, 144355662, 78195793104, 41464030668126, 21913547204930436, 11592698206262332038, 6132613212081833038848, 3244150580853998857396806, 1716156191181436456548651588], "abvar_counts_str": "726 317988 144355662 78195793104 41464030668126 21913547204930436 11592698206262332038 6132613212081833038848 3244150580853998857396806 1716156191181436456548651588 ", "all_polarized_product": false, "all_unpolarized_product": false, "angle_corank": 0, "angle_rank": 2, "angles": [0.54220181482946, 0.66422795889704], "center_dim": 4, "cohen_macaulay_max": 1, "curve_count": 30, "curve_counts": [30, 598, 11862, 279430, 6442170, 148028614, 3404784882, 78311020990, 1801152478782, 41426519900038], "curve_counts_str": "30 598 11862 279430 6442170 148028614 3404784882 78311020990 1801152478782 41426519900038 ", "curves": ["y^2=10*x^6+14*x^5+7*x^4+3*x^3+19*x^2+6*x+5", "y^2=x^5+x^4+15*x^3+2*x^2+17*x+19", "y^2=9*x^6+9*x^5+19*x^4+3*x^3+7*x^2+9*x+17", "y^2=7*x^6+22*x^5+21*x^4+15*x^3+x^2+x+16", "y^2=13*x^6+20*x^5+7*x^4+15*x^3+21*x^2+11*x+19", "y^2=13*x^6+19*x^5+9*x^4+11*x^3+x^2+15*x+22", "y^2=17*x^6+12*x^5+16*x^4+9*x^3+5*x^2+2*x+9", "y^2=11*x^6+16*x^5+3*x^4+4*x^3+8*x^2+7*x+13", "y^2=17*x^6+x^5+17*x^4+9*x^3+8*x+4", "y^2=8*x^6+17*x^5+11*x^4+9*x^3+x^2+5*x+13", "y^2=2*x^6+4*x^5+12*x^4+13*x^3+9*x^2+7", "y^2=16*x^6+21*x^5+19*x^4+10*x^3+6*x^2+7*x+14", "y^2=9*x^6+18*x^5+7*x^4+2*x^3+13*x^2+11*x+15", "y^2=13*x^6+19*x^5+21*x^3+2*x^2+4*x+14", "y^2=10*x^6+14*x^5+6*x^4+x^2+19*x+11", "y^2=17*x^6+16*x^5+10*x^4+20*x^3+6*x^2+18*x+16", "y^2=x^6+x^5+14*x^4+10*x^3+x^2+16*x+15", "y^2=13*x^6+19*x^5+13*x^4+14*x^3+15*x^2+18*x+3", "y^2=10*x^6+9*x^5+22*x^4+6*x^3+19*x^2+11*x+21", "y^2=6*x^6+7*x^5+14*x^4+7*x^3+12*x^2+2*x+2", "y^2=2*x^5+17*x^4+16*x^2+14*x+21", "y^2=18*x^6+16*x^5+14*x^4+5*x^3+6*x^2+14*x+21", "y^2=15*x^6+17*x^5+9*x^4+8*x^3+8*x^2+6*x+12", "y^2=9*x^6+x^5+10*x^3+10*x^2+x+10", "y^2=7*x^6+18*x^5+9*x^3+4*x^2+12*x+9", "y^2=12*x^6+16*x^5+6*x^4+12*x^3+2*x^2+15*x+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": ["4.0.7488.1"], "geometric_splitting_field": "4.0.7488.1", "geometric_splitting_polynomials": [[6, 0, 4, -2, 1]], "group_structure_count": 2, "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 26, "is_cyclic": false, "is_geometrically_simple": true, "is_geometrically_squarefree": true, "is_primitive": true, "is_simple": true, "is_squarefree": true, "is_supersingular": false, "jacobian_count": 26, "label": "2.23.g_ca", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 2, "newton_coelevation": 2, "newton_elevation": 0, "noncyclic_primes": [11], "number_fields": ["4.0.7488.1"], "p": 23, "p_rank": 2, "p_rank_deficit": 0, "pic_prime_gens": [[1, 2, 1, 2], [1, 3, 1, 6], [1, 11, 1, 4]], "poly": [1, 6, 52, 138, 529], "poly_str": "1 6 52 138 529 ", "primitive_models": [], "principal_polarization_count": 26, "q": 23, "real_poly": [1, 6, 6], "simple_distinct": ["2.23.g_ca"], "simple_factors": ["2.23.g_caA"], "simple_multiplicities": [1], "singular_primes": ["11,F^2+5*F+2*V+3"], "size": 26, "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "4.0.7488.1", "splitting_polynomials": [[6, 0, 4, -2, 1]], "twist_count": 2, "twists": [["2.23.ag_ca", "2.529.cq_dda", 2]], "weak_equivalence_count": 2, "zfv_index": 11, "zfv_index_factorization": [[11, 1]], "zfv_is_bass": true, "zfv_is_maximal": false, "zfv_pic_size": 24, "zfv_plus_index": 1, "zfv_plus_index_factorization": [], "zfv_plus_norm": 6292, "zfv_singular_count": 2, "zfv_singular_primes": ["11,F^2+5*F+2*V+3"]}