# Stored data for abelian variety isogeny class 3.7.al_ch_ahn, downloaded from the LMFDB on 03 August 2026.
{"abvar_count": 71, "abvar_counts": [71, 110831, 43933877, 13983436439, 4666007907401, 1611031149891527, 556855969625947328, 191505738801887923847, 65710774036055835559223, 22538759336355737710643471], "abvar_counts_str": "71 110831 43933877 13983436439 4666007907401 1611031149891527 556855969625947328 191505738801887923847 65710774036055835559223 22538759336355737710643471 ", "all_polarized_product": false, "all_unpolarized_product": false, "angle_corank": 0, "angle_rank": 3, "angles": [0.0413211978611631, 0.265511145544673, 0.363643463850826], "center_dim": 6, "cohen_macaulay_max": 1, "curve_count": -3, "curve_counts": [-3, 47, 375, 2427, 16517, 116387, 821048, 5762531, 40352631, 282467967], "curve_counts_str": "-3 47 375 2427 16517 116387 821048 5762531 40352631 282467967 ", "curves": [], "dim1_distinct": 0, "dim1_factors": 0, "dim2_distinct": 0, "dim2_factors": 0, "dim3_distinct": 1, "dim3_factors": 1, "dim4_distinct": 0, "dim4_factors": 0, "dim5_distinct": 0, "dim5_factors": 0, "endomorphism_ring_count": 1, "g": 3, "galois_groups": ["6T6"], "geom_dim1_distinct": 0, "geom_dim1_factors": 0, "geom_dim2_distinct": 0, "geom_dim2_factors": 0, "geom_dim3_distinct": 1, "geom_dim3_factors": 1, "geom_dim4_distinct": 0, "geom_dim4_factors": 0, "geom_dim5_distinct": 0, "geom_dim5_factors": 0, "geometric_center_dim": 6, "geometric_extension_degree": 1, "geometric_galois_groups": ["6T6"], "geometric_number_fields": ["6.0.400967.1"], "geometric_splitting_field": "6.0.400967.1", "geometric_splitting_polynomials": [[8, -8, 10, -7, 5, -2, 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": true, "is_geometrically_squarefree": true, "is_primitive": true, "is_simple": true, "is_squarefree": true, "is_supersingular": false, "label": "3.7.al_ch_ahn", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 2, "newton_coelevation": 4, "newton_elevation": 0, "noncyclic_primes": [], "number_fields": ["6.0.400967.1"], "p": 7, "p_rank": 3, "p_rank_deficit": 0, "pic_prime_gens": [], "poly": [1, -11, 59, -195, 413, -539, 343], "poly_str": "1 -11 59 -195 413 -539 343 ", "primitive_models": [], "principal_polarization_count": 1, "q": 7, "real_poly": [1, -11, 38, -41], "simple_distinct": ["3.7.al_ch_ahn"], "simple_factors": ["3.7.al_ch_ahnA"], "simple_multiplicities": [1], "singular_primes": [], "size": 1, "slopes": ["0A", "0B", "0C", "1A", "1B", "1C"], "splitting_field": "6.0.400967.1", "splitting_polynomials": [[8, -8, 10, -7, 5, -2, 1]], "twist_count": 2, "twists": [["3.7.l_ch_hn", "3.49.ad_r_arv", 2]], "weak_equivalence_count": 1, "zfv_index": 1, "zfv_index_factorization": [], "zfv_is_bass": true, "zfv_is_maximal": true, "zfv_pic_size": 1, "zfv_plus_index": 1, "zfv_plus_index_factorization": [], "zfv_plus_norm": 167, "zfv_singular_count": 0, "zfv_singular_primes": []}