# Stored data for abelian variety isogeny class 2.7.ag_v, downloaded from the LMFDB on 15 June 2026.
{"abvar_count": 23, "abvar_counts": [23, 2737, 130916, 5848969, 282342503, 13896471568, 680365917527, 33255091162377, 1627947385063652, 79774236353790097], "abvar_counts_str": "23 2737 130916 5848969 282342503 13896471568 680365917527 33255091162377 1627947385063652 79774236353790097 ", "angle_corank": 0, "angle_rank": 2, "angles": [0.185925252552296, 0.403118263530947], "center_dim": 4, "cohen_macaulay_max": 1, "curve_count": 2, "curve_counts": [2, 56, 380, 2436, 16802, 118118, 826142, 5768644, 40342052, 282411416], "curve_counts_str": "2 56 380 2436 16802 118118 826142 5768644 40342052 282411416 ", "curves": ["y^2=3*x^6+3*x^5+2*x^3+x^2+6", "y^2=6*x^6+4*x^5+4*x^4+x^3+4*x^2+5*x+2"], "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": 1, "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": ["4.0.13888.1"], "geometric_splitting_field": "4.0.13888.1", "geometric_splitting_polynomials": [[17, -2, 9, -2, 1]], "group_structure_count": 1, "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 2, "is_cyclic": true, "is_geometrically_simple": true, "is_geometrically_squarefree": true, "is_primitive": true, "is_simple": true, "is_squarefree": true, "is_supersingular": false, "jacobian_count": 2, "label": "2.7.ag_v", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 2, "newton_coelevation": 1, "newton_elevation": 1, "noncyclic_primes": [], "number_fields": ["4.0.13888.1"], "p": 7, "p_rank": 1, "p_rank_deficit": 1, "poly": [1, -6, 21, -42, 49], "poly_str": "1 -6 21 -42 49 ", "primitive_models": [], "q": 7, "real_poly": [1, -6, 7], "simple_distinct": ["2.7.ag_v"], "simple_factors": ["2.7.ag_vA"], "simple_multiplicities": [1], "singular_primes": [], "slopes": ["0A", "1/2A", "1/2B", "1A"], "splitting_field": "4.0.13888.1", "splitting_polynomials": [[17, -2, 9, -2, 1]], "twist_count": 2, "twists": [["2.7.g_v", "2.49.g_bj", 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": 217, "zfv_singular_count": 0, "zfv_singular_primes": []}