# Stored data for abelian variety isogeny class 2.7.ac_l, downloaded from the LMFDB on 10 September 2025.
{"abvar_count": 45, "abvar_counts": [45, 3465, 123120, 5769225, 285493725, 13803229440, 675458784045, 33228526386825, 1629309326805360, 79798373057766825], "abvar_counts_str": "45 3465 123120 5769225 285493725 13803229440 675458784045 33228526386825 1629309326805360 79798373057766825 ", "angle_corank": 0, "angle_rank": 2, "angles": [0.308124534521218, 0.560518859161838], "center_dim": 4, "cohen_macaulay_max": 1, "curve_count": 6, "curve_counts": [6, 68, 360, 2404, 16986, 117326, 820182, 5764036, 40375800, 282496868], "curve_counts_str": "6 68 360 2404 16986 117326 820182 5764036 40375800 282496868 ", "curves": ["y^2=4*x^6+2*x^4+2*x^3+x^2+2*x+6", "y^2=x^6+2*x^5+6*x^4+x^3+4*x^2+6*x+4", "y^2=5*x^6+3*x^5+3*x^4+2*x^3+3*x^2+3*x+5", "y^2=x^6+x^4+2*x^3+x^2+1", "y^2=x^6+4*x^4+2*x^3+3*x+2", "y^2=2*x^6+3*x^4+2*x^3+3*x^2+2", "y^2=5*x^6+2*x^4+3*x^3+2*x^2+5", "y^2=3*x^6+6*x^4+5*x^3+2*x^2+2*x+2"], "dim1_distinct": 2, "dim1_factors": 2, "dim2_distinct": 0, "dim2_factors": 0, "dim3_distinct": 0, "dim3_factors": 0, "dim4_distinct": 0, "dim4_factors": 0, "dim5_distinct": 0, "dim5_factors": 0, "endomorphism_ring_count": 6, "g": 2, "galois_groups": ["2T1", "2T1"], "geom_dim1_distinct": 2, "geom_dim1_factors": 2, "geom_dim2_distinct": 0, "geom_dim2_factors": 0, "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": ["2T1", "2T1"], "geometric_number_fields": ["2.0.19.1", "2.0.3.1"], "geometric_splitting_field": "4.0.3249.1", "geometric_splitting_polynomials": [[25, -5, -4, -1, 1]], "group_structure_count": 2, "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 8, "is_geometrically_simple": false, "is_geometrically_squarefree": true, "is_primitive": true, "is_simple": false, "is_squarefree": true, "is_supersingular": false, "jacobian_count": 8, "label": "2.7.ac_l", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 6, "newton_coelevation": 2, "newton_elevation": 0, "number_fields": ["2.0.19.1", "2.0.3.1"], "p": 7, "p_rank": 2, "p_rank_deficit": 0, "poly": [1, -2, 11, -14, 49], "poly_str": "1 -2 11 -14 49 ", "primitive_models": [], "q": 7, "real_poly": [1, -2, -3], "simple_distinct": ["1.7.ad", "1.7.b"], "simple_factors": ["1.7.adA", "1.7.bA"], "simple_multiplicities": [1, 1], "singular_primes": ["2,F^2-3*V", "3,9*F-V+10"], "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "4.0.3249.1", "splitting_polynomials": [[25, -5, -4, -1, 1]], "twist_count": 12, "twists": [["2.7.ae_r", "2.49.s_gh", 2], ["2.7.c_l", "2.49.s_gh", 2], ["2.7.e_r", "2.49.s_gh", 2], ["2.7.ai_bd", "2.343.q_abi", 3], ["2.7.b_c", "2.343.q_abi", 3], ["2.7.ah_ba", "2.117649.amm_dlzy", 6], ["2.7.ac_ab", "2.117649.amm_dlzy", 6], ["2.7.ab_c", "2.117649.amm_dlzy", 6], ["2.7.c_ab", "2.117649.amm_dlzy", 6], ["2.7.h_ba", "2.117649.amm_dlzy", 6], ["2.7.i_bd", "2.117649.amm_dlzy", 6]], "weak_equivalence_count": 6, "zfv_index": 48, "zfv_index_factorization": [[2, 4], [3, 1]], "zfv_is_bass": true, "zfv_is_maximal": false, "zfv_plus_index": 1, "zfv_plus_index_factorization": [], "zfv_plus_norm": 513, "zfv_singular_count": 4, "zfv_singular_primes": ["2,F^2-3*V", "3,9*F-V+10"]}