# Stored data for abelian variety isogeny class 2.37.ag_ab, downloaded from the LMFDB on 06 October 2026.
{"abvar_count": 1141, "abvar_counts": [1141, 1822177, 2520441616, 3510054088569, 4807968191624101, 6582432748975046656, 9012034868651752643293, 12337504629735990109480425, 16890047899007416053217450384, 23122483379459232977924226461377], "abvar_counts_str": "1141 1822177 2520441616 3510054088569 4807968191624101 6582432748975046656 9012034868651752643293 12337504629735990109480425 16890047899007416053217450384 23122483379459232977924226461377 ", "all_polarized_product": false, "all_unpolarized_product": false, "angle_corank": 1, "angle_rank": 1, "angles": [0.00249485507009777, 0.669161521736764], "center_dim": 4, "cohen_macaulay_max": 1, "curve_count": 32, "curve_counts": [32, 1332, 49754, 1872868, 69335072, 2565524022, 94931598752, 3512477380036, 129961694308178, 4808584312690932], "curve_counts_str": "32 1332 49754 1872868 69335072 2565524022 94931598752 3512477380036 129961694308178 4808584312690932 ", "curves": [], "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": 3, "g": 2, "galois_groups": ["4T2"], "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": 3, "geometric_galois_groups": ["2T1"], "geometric_number_fields": ["2.0.7.1"], "geometric_splitting_field": "2.0.7.1", "geometric_splitting_polynomials": [[2, -1, 1]], "group_structure_count": 1, "has_geom_ss_factor": false, "has_jacobian": -1, "has_principal_polarization": -1, "hyp_count": 0, "is_cyclic": true, "is_geometrically_simple": false, "is_geometrically_squarefree": false, "is_primitive": true, "is_simple": true, "is_squarefree": true, "is_supersingular": false, "jacobian_count": 0, "label": "2.37.ag_ab", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 12, "newton_coelevation": 2, "newton_elevation": 0, "noncyclic_primes": [], "number_fields": ["4.0.441.1"], "p": 37, "p_rank": 2, "p_rank_deficit": 0, "pic_prime_gens": [[1, 7, 1, 2], [1, 7, 2, 2]], "poly": [1, -6, -1, -222, 1369], "poly_str": "1 -6 -1 -222 1369 ", "primitive_models": [], "principal_polarization_count": 0, "q": 37, "real_poly": [1, -6, -75], "simple_distinct": ["2.37.ag_ab"], "simple_factors": ["2.37.ag_abA"], "simple_multiplicities": [1], "singular_primes": ["2,-5*F-V+1"], "size": 6, "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "4.0.441.1", "splitting_polynomials": [[4, -2, -1, -1, 1]], "twist_count": 6, "twists": [["2.37.g_ab", "2.1369.abm_cx", 2], ["2.37.m_eg", "2.50653.abiq_rhkw", 3], ["2.37.am_eg", "2.2565726409.alnke_bxttvlic", 6], ["2.37.a_bm", "2.2565726409.alnke_bxttvlic", 6], ["2.37.a_abm", "2.6582952005840035281.abhbzbcmm_pvmavuywlznvtm", 12]], "weak_equivalence_count": 3, "zfv_index": 16, "zfv_index_factorization": [[2, 4]], "zfv_is_bass": true, "zfv_is_maximal": false, "zfv_pic_size": 4, "zfv_plus_index": 4, "zfv_plus_index_factorization": [[2, 2]], "zfv_plus_norm": 1, "zfv_singular_count": 2, "zfv_singular_primes": ["2,-5*F-V+1"]}