# Stored data for abelian variety isogeny class 2.97.a_ahl, downloaded from the LMFDB on 06 October 2025.
{"abvar_count": 9217, "abvar_counts": [9217, 84953089, 832970263684, 7834170744744201, 73742412674486072257, 693839460181792489251856, 6528362774605953706553306113, 61425362796858069094800114140169, 577951262543040978400153035522106756, 5437943427054204112206389436675025074049], "abvar_counts_str": "9217 84953089 832970263684 7834170744744201 73742412674486072257 693839460181792489251856 6528362774605953706553306113 61425362796858069094800114140169 577951262543040978400153035522106756 5437943427054204112206389436675025074049 ", "angle_corank": 1, "angle_rank": 1, "angles": [0.0161666856434874, 0.983833314356513], "center_dim": 4, "cohen_macaulay_max": 1, "curve_count": 98, "curve_counts": [98, 9024, 912674, 88492420, 8587340258, 832968522438, 80798284478114, 7837433269090564, 760231058654565218, 73742412659479318464], "curve_counts_str": "98 9024 912674 88492420 8587340258 832968522438 80798284478114 7837433269090564 760231058654565218 73742412659479318464 ", "curves": [], "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": ["4T2"], "geom_dim1_distinct": 1, "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": 2, "geometric_extension_degree": 2, "geometric_galois_groups": ["2T1"], "geometric_number_fields": ["2.0.43.1"], "geometric_splitting_field": "2.0.43.1", "geometric_splitting_polynomials": [[11, -1, 1]], "group_structure_count": 1, "has_geom_ss_factor": false, "has_jacobian": -1, "has_principal_polarization": 1, "hyp_count": 0, "is_geometrically_simple": false, "is_geometrically_squarefree": false, "is_primitive": true, "is_simple": true, "is_squarefree": true, "is_supersingular": false, "jacobian_count": 0, "label": "2.97.a_ahl", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 12, "newton_coelevation": 2, "newton_elevation": 0, "number_fields": ["4.0.29584.2"], "p": 97, "p_rank": 2, "p_rank_deficit": 0, "poly": [1, 0, -193, 0, 9409], "poly_str": "1 0 -193 0 9409 ", "primitive_models": [], "q": 97, "real_poly": [1, 0, -387], "simple_distinct": ["2.97.a_ahl"], "simple_factors": ["2.97.a_ahlA"], "simple_multiplicities": [1], "singular_primes": ["3,-F^2-293*F+148*V-1"], "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "4.0.29584.2", "splitting_polynomials": [[121, 0, -21, 0, 1]], "twist_count": 6, "twists": [["2.97.ac_hn", "2.88529281.accnu_brmvmjb", 4], ["2.97.a_hl", "2.88529281.accnu_brmvmjb", 4], ["2.97.c_hn", "2.88529281.accnu_brmvmjb", 4], ["2.97.ab_ads", "2.693842360995438000295041.ancduqfqme_cwpvzhhrkgklrjzbkg", 12], ["2.97.b_ads", "2.693842360995438000295041.ancduqfqme_cwpvzhhrkgklrjzbkg", 12]], "weak_equivalence_count": 2, "zfv_index": 9, "zfv_index_factorization": [[3, 2]], "zfv_is_bass": true, "zfv_is_maximal": false, "zfv_plus_index": 3, "zfv_plus_index_factorization": [[3, 1]], "zfv_plus_norm": 1, "zfv_singular_count": 2, "zfv_singular_primes": ["3,-F^2-293*F+148*V-1"]}