# Stored data for abelian variety isogeny class 2.23.al_cl, downloaded from the LMFDB on 17 February 2026.
{"abvar_count": 329, "abvar_counts": [329, 281953, 147910175, 78003143309, 41398488019504, 21917014830737425, 11593445063628669731, 6132644159803900524149, 3244150667721867082390925, 1716156165476704537306217728], "abvar_counts_str": "329 281953 147910175 78003143309 41398488019504 21917014830737425 11593445063628669731 6132644159803900524149 3244150667721867082390925 1716156165476704537306217728 ", "all_polarized_product": false, "all_unpolarized_product": false, "angle_corank": 0, "angle_rank": 2, "angles": [0.0980658819420015, 0.437882154474006], "center_dim": 4, "cohen_macaulay_max": 1, "curve_count": 13, "curve_counts": [13, 535, 12157, 278739, 6431988, 148052035, 3405004231, 78311416179, 1801152527011, 41426519279550], "curve_counts_str": "13 535 12157 278739 6431988 148052035 3405004231 78311416179 1801152527011 41426519279550 ", "curves": ["y^2=7*x^6+17*x^5+19*x^4+3*x^3+11*x^2+x+11", "y^2=21*x^6+10*x^5+21*x^4+19*x^3+22*x^2+13*x+9", "y^2=11*x^6+11*x^5+11*x^4+22*x^3+15*x^2+8*x+3", "y^2=18*x^6+19*x^5+7*x^4+9*x^3+13*x^2+2*x", "y^2=19*x^6+12*x^5+22*x^4+11*x^3+2*x^2+21*x+10", "y^2=17*x^6+x^5+9*x^4+5*x^3+21*x^2+21*x+7", "y^2=10*x^6+19*x^5+2*x^4+16*x^3+8*x^2+18*x+4", "y^2=5*x^6+3*x^5+11*x^4+3*x^3+6*x^2+21*x+7", "y^2=8*x^5+8*x^4+2*x^3+3*x^2+12*x+12", "y^2=19*x^6+21*x^5+20*x^4+5*x^3+12*x^2+5*x+17"], "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": 1, "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": ["4.0.2103941.1"], "geometric_splitting_field": "4.0.2103941.1", "geometric_splitting_polynomials": [[121, 64, 18, -1, 1]], "group_structure_count": 1, "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 10, "is_cyclic": true, "is_geometrically_simple": true, "is_geometrically_squarefree": true, "is_primitive": true, "is_simple": true, "is_squarefree": true, "is_supersingular": false, "jacobian_count": 10, "label": "2.23.al_cl", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 2, "newton_coelevation": 2, "newton_elevation": 0, "noncyclic_primes": [], "number_fields": ["4.0.2103941.1"], "p": 23, "p_rank": 2, "p_rank_deficit": 0, "pic_prime_gens": [[1, 7, 1, 5], [1, 7, 3, 2]], "poly": [1, -11, 63, -253, 529], "poly_str": "1 -11 63 -253 529 ", "primitive_models": [], "principal_polarization_count": 10, "q": 23, "real_poly": [1, -11, 17], "simple_distinct": ["2.23.al_cl"], "simple_factors": ["2.23.al_clA"], "simple_multiplicities": [1], "singular_primes": [], "size": 10, "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "4.0.2103941.1", "splitting_polynomials": [[121, 64, 18, -1, 1]], "twist_count": 2, "twists": [["2.23.l_cl", "2.529.f_aut", 2]], "weak_equivalence_count": 1, "zfv_index": 1, "zfv_index_factorization": [], "zfv_is_bass": true, "zfv_is_maximal": true, "zfv_pic_size": 10, "zfv_plus_index": 1, "zfv_plus_index_factorization": [], "zfv_plus_norm": 749, "zfv_singular_count": 0, "zfv_singular_primes": []}