# Stored data for abelian variety isogeny class 2.7.c_k, downloaded from the LMFDB on 22 September 2025.
{"abvar_count": 76, "abvar_counts": [76, 3344, 114076, 5831936, 277845436, 13798176656, 681204273196, 33227012132864, 1627795913438764, 79794620811118224], "abvar_counts_str": "76 3344 114076 5831936 277845436 13798176656 681204273196 33227012132864 1627795913438764 79794620811118224 ", "angle_corank": 0, "angle_rank": 2, "angles": [0.424951050725301, 0.709457448494354], "center_dim": 4, "cohen_macaulay_max": 1, "curve_count": 10, "curve_counts": [10, 66, 334, 2430, 16530, 117282, 827158, 5763774, 40338298, 282483586], "curve_counts_str": "10 66 334 2430 16530 117282 827158 5763774 40338298 282483586 ", "curves": ["y^2=2*x^6+4*x^4+3*x^3+6*x^2+3*x+5", "y^2=4*x^6+x^5+3*x^4+2*x^3+2*x^2+4", "y^2=5*x^6+5*x^5+2*x^4+4*x^3+3*x", "y^2=2*x^6+4*x^5+5*x^4+5*x^3+6*x^2+5*x+4", "y^2=6*x^6+5*x^4+6*x^3+x^2+3*x+4", "y^2=5*x^5+6*x^4+3*x^3+5*x^2+3*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": 3, "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": ["4.0.11600.1"], "geometric_splitting_field": "4.0.11600.1", "geometric_splitting_polynomials": [[29, 0, 11, 0, 1]], "group_structure_count": 2, "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 6, "is_geometrically_simple": true, "is_geometrically_squarefree": true, "is_primitive": true, "is_simple": true, "is_squarefree": true, "is_supersingular": false, "jacobian_count": 6, "label": "2.7.c_k", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 2, "newton_coelevation": 2, "newton_elevation": 0, "number_fields": ["4.0.11600.1"], "p": 7, "p_rank": 2, "p_rank_deficit": 0, "poly": [1, 2, 10, 14, 49], "poly_str": "1 2 10 14 49 ", "primitive_models": [], "q": 7, "real_poly": [1, 2, -4], "simple_distinct": ["2.7.c_k"], "simple_factors": ["2.7.c_kA"], "simple_multiplicities": [1], "singular_primes": ["2,-F^2-V-4"], "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "4.0.11600.1", "splitting_polynomials": [[29, 0, 11, 0, 1]], "twist_count": 2, "twists": [["2.7.ac_k", "2.49.q_fm", 2]], "weak_equivalence_count": 3, "zfv_index": 4, "zfv_index_factorization": [[2, 2]], "zfv_is_bass": true, "zfv_is_maximal": false, "zfv_plus_index": 2, "zfv_plus_index_factorization": [[2, 1]], "zfv_plus_norm": 464, "zfv_singular_count": 2, "zfv_singular_primes": ["2,-F^2-V-4"]}