# Stored data for abelian variety isogeny class 2.23.am_cv, downloaded from the LMFDB on 18 July 2026.
{"abvar_count": 315, "abvar_counts": [315, 280665, 148916880, 78177832425, 41400181590075, 21915306183133440, 11593462650638869035, 6132688316249673249225, 3244154411726693360436240, 1716155791883303691727092825], "abvar_counts_str": "315 280665 148916880 78177832425 41400181590075 21915306183133440 11593462650638869035 6132688316249673249225 3244154411726693360436240 1716155791883303691727092825 ", "all_polarized_product": false, "all_unpolarized_product": false, "angle_corank": 0, "angle_rank": 2, "angles": [0.112386341891082, 0.39874255062814], "center_dim": 4, "cohen_macaulay_max": 1, "curve_count": 12, "curve_counts": [12, 532, 12240, 279364, 6432252, 148040494, 3405009396, 78311980036, 1801154605680, 41426510261332], "curve_counts_str": "12 532 12240 279364 6432252 148040494 3405009396 78311980036 1801154605680 41426510261332 ", "curves": ["y^2=2*x^6+21*x^5+19*x^4+x^3+14*x^2+10*x+12", "y^2=2*x^6+14*x^5+22*x^4+9*x^3+22*x^2+2*x+19", "y^2=22*x^6+7*x^5+20*x^4+2*x^3+11*x^2+19*x+15", "y^2=2*x^6+12*x^5+5*x^4+17*x^3+19*x^2+4*x+1", "y^2=17*x^6+7*x^5+22*x^4+15*x^3+20*x^2+17*x+22", "y^2=12*x^6+13*x^5+9*x^4+7*x^3+8*x^2+6*x+19", "y^2=x^6+22*x^5+14*x^4+15*x^3+14*x^2+22*x+1", "y^2=20*x^6+3*x^5+3*x^4+5*x^3+4*x^2+11*x+21", "y^2=22*x^6+13*x^5+5*x^4+9*x^3+5*x^2+13*x+22", "y^2=4*x^6+6*x^5+21*x^4+6*x^3+21*x^2+14*x+17", "y^2=10*x^6+15*x^5+13*x^4+22*x^3+9*x^2+9*x+12", "y^2=22*x^6+19*x^5+5*x^4+4*x^3+19*x^2+17*x+4", "y^2=7*x^6+20*x^5+11*x^4+15*x^3+22*x^2+13*x+19", "y^2=2*x^6+12*x^5+8*x^4+8*x^3+6*x^2+x+3", "y^2=10*x^6+11*x^5+15*x^4+x^3+11*x^2+18*x+2", "y^2=19*x^6+21*x^5+8*x^4+12*x^3+13*x^2+17*x+15", "y^2=11*x^6+15*x^5+3*x^4+11*x^3+20*x^2+5*x+11", "y^2=20*x^6+5*x^4+11*x^3+11*x^2+17", "y^2=22*x^6+x^5+16*x^4+16*x^3+4*x^2+16*x+19", "y^2=20*x^6+x^5+2*x^4+5*x^3+5*x^2+18*x+17", "y^2=x^6+12*x^5+19*x^4+9*x^3+17*x^2+4*x+12"], "dim1_distinct": 2, "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, "endomorphism_ring_count": 8, "g": 2, "galois_groups": ["2T1", "2T1"], "geom_dim1_distinct": 2, "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": 4, "geometric_extension_degree": 1, "geometric_galois_groups": ["2T1", "2T1"], "geometric_number_fields": ["2.0.11.1", "2.0.83.1"], "geometric_splitting_field": "4.0.833569.1", "geometric_splitting_polynomials": [[324, 0, 47, 0, 1]], "group_structure_count": 2, "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 21, "is_cyclic": false, "is_geometrically_simple": false, "is_geometrically_squarefree": true, "is_primitive": true, "is_simple": false, "is_squarefree": true, "is_supersingular": false, "jacobian_count": 21, "label": "2.23.am_cv", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 2, "newton_coelevation": 2, "newton_elevation": 0, "noncyclic_primes": [3], "number_fields": ["2.0.11.1", "2.0.83.1"], "p": 23, "p_rank": 2, "p_rank_deficit": 0, "pic_prime_gens": [[1, 5, 1, 6], [2, 7, 1, 9]], "poly": [1, -12, 73, -276, 529], "poly_str": "1 -12 73 -276 529 ", "primitive_models": [], "principal_polarization_count": 24, "q": 23, "real_poly": [1, -12, 27], "simple_distinct": ["1.23.aj", "1.23.ad"], "simple_factors": ["1.23.ajA", "1.23.adA"], "simple_multiplicities": [1, 1], "singular_primes": ["3,-6*F+V-7", "3,-F+4", "2,-F^2-7*V+4"], "size": 60, "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "4.0.833569.1", "splitting_polynomials": [[324, 0, 47, 0, 1]], "twist_count": 4, "twists": [["2.23.ag_t", "2.529.c_ajd", 2], ["2.23.g_t", "2.529.c_ajd", 2], ["2.23.m_cv", "2.529.c_ajd", 2]], "weak_equivalence_count": 8, "zfv_index": 36, "zfv_index_factorization": [[2, 2], [3, 2]], "zfv_is_bass": true, "zfv_is_maximal": false, "zfv_pic_size": 18, "zfv_plus_index": 1, "zfv_plus_index_factorization": [], "zfv_plus_norm": 913, "zfv_singular_count": 6, "zfv_singular_primes": ["3,-6*F+V-7", "3,-F+4", "2,-F^2-7*V+4"]}