# Stored data for abelian variety isogeny class 2.7.af_r, downloaded from the LMFDB on 11 September 2025.
{"abvar_count": 27, "abvar_counts": [27, 2889, 127089, 5746221, 284148432, 13965683121, 679950980253, 33212289700629, 1627543164886911, 79785138039047424], "abvar_counts_str": "27 2889 127089 5746221 284148432 13965683121 679950980253 33212289700629 1627543164886911 79785138039047424 ", "angle_corank": 0, "angle_rank": 2, "angles": [0.19775185639747, 0.457936209148327], "center_dim": 4, "cohen_macaulay_max": 1, "curve_count": 3, "curve_counts": [3, 59, 369, 2395, 16908, 118703, 825639, 5761219, 40332033, 282450014], "curve_counts_str": "3 59 369 2395 16908 118703 825639 5761219 40332033 282450014 ", "curves": ["y^2=5*x^6+6*x^5+2*x^4+2*x^3+3*x^2+3*x+3", "y^2=5*x^6+5*x^5+2*x^4+3*x^2+2*x+3", "y^2=5*x^6+4*x^5+6*x^4+4*x^3+6*x^2+4*x+6"], "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": 2, "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": ["4.0.4901.1"], "geometric_splitting_field": "4.0.4901.1", "geometric_splitting_polynomials": [[3, -5, 6, -2, 1]], "group_structure_count": 2, "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 3, "is_geometrically_simple": true, "is_geometrically_squarefree": true, "is_primitive": true, "is_simple": true, "is_squarefree": true, "is_supersingular": false, "jacobian_count": 3, "label": "2.7.af_r", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 2, "newton_coelevation": 2, "newton_elevation": 0, "number_fields": ["4.0.4901.1"], "p": 7, "p_rank": 2, "p_rank_deficit": 0, "poly": [1, -5, 17, -35, 49], "poly_str": "1 -5 17 -35 49 ", "primitive_models": [], "q": 7, "real_poly": [1, -5, 3], "simple_distinct": ["2.7.af_r"], "simple_factors": ["2.7.af_rA"], "simple_multiplicities": [1], "singular_primes": ["3,2*F^2+4"], "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "4.0.4901.1", "splitting_polynomials": [[3, -5, 6, -2, 1]], "twist_count": 2, "twists": [["2.7.f_r", "2.49.j_bl", 2]], "weak_equivalence_count": 2, "zfv_index": 3, "zfv_index_factorization": [[3, 1]], "zfv_is_bass": true, "zfv_is_maximal": false, "zfv_plus_index": 1, "zfv_plus_index_factorization": [], "zfv_plus_norm": 261, "zfv_singular_count": 2, "zfv_singular_primes": ["3,2*F^2+4"]}