# Stored data for abelian variety isogeny class 3.7.a_r_ac, downloaded from the LMFDB on 02 August 2026.
{"abvar_count": 478, "abvar_counts": [478, 230396, 39616162, 13271731184, 4795581223078, 1624735421277308, 556934640261477466, 191758671819310036736, 65747800827469996771174, 22537037138392674273611996], "abvar_counts_str": "478 230396 39616162 13271731184 4795581223078 1624735421277308 556934640261477466 191758671819310036736 65747800827469996771174 22537037138392674273611996 ", "angle_corank": 0, "angle_rank": 3, "angles": [0.362567518263453, 0.532491252912703, 0.602531211105932], "center_dim": 6, "cohen_macaulay_max": 1, "curve_count": 8, "curve_counts": [8, 84, 338, 2300, 16978, 117384, 821164, 5770140, 40375364, 282446384], "curve_counts_str": "8 84 338 2300 16978 117384 821164 5770140 40375364 282446384 ", "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": ["6T11"], "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": ["6T11"], "geometric_number_fields": ["6.0.353180096.1"], "geometric_splitting_field": "6.0.353180096.1", "geometric_splitting_polynomials": [[343, 0, 119, -2, 17, 0, 1]], "group_structure_count": 1, "has_geom_ss_factor": false, "has_jacobian": 0, "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.a_r_ac", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 2, "newton_coelevation": 4, "newton_elevation": 0, "noncyclic_primes": [], "number_fields": ["6.0.353180096.1"], "p": 7, "p_rank": 3, "p_rank_deficit": 0, "poly": [1, 0, 17, -2, 119, 0, 343], "poly_str": "1 0 17 -2 119 0 343 ", "primitive_models": [], "q": 7, "real_poly": [1, 0, -4, -2], "simple_distinct": ["3.7.a_r_ac"], "simple_factors": ["3.7.a_r_acA"], "simple_multiplicities": [1], "singular_primes": [], "slopes": ["0A", "0B", "0C", "1A", "1B", "1C"], "splitting_field": "6.0.353180096.1", "splitting_polynomials": [[343, 0, 119, -2, 17, 0, 1]], "twist_count": 2, "twists": [["3.7.a_r_c", "3.49.bi_uh_gzw", 2]], "weak_equivalence_count": 1, "zfv_index": 1, "zfv_index_factorization": [], "zfv_is_bass": true, "zfv_is_maximal": true, "zfv_plus_index": 1, "zfv_plus_index_factorization": [], "zfv_plus_norm": 16124, "zfv_singular_count": 0, "zfv_singular_primes": []}