# Stored data for abelian variety isogeny class 1.97.a, downloaded from the LMFDB on 07 February 2026.
{"abvar_count": 98, "abvar_counts": [98, 9604, 912674, 88510464, 8587340258, 832973830276, 80798284478114, 7837433417318400, 760231058654565218, 73742412706667506564], "abvar_counts_str": "98 9604 912674 88510464 8587340258 832973830276 80798284478114 7837433417318400 760231058654565218 73742412706667506564 ", "all_polarized_product": false, "all_unpolarized_product": false, "angle_corank": 1, "angle_rank": 0, "angles": [0.5], "center_dim": 2, "cohen_macaulay_max": 1, "curve_count": 98, "curve_counts": [98, 9604, 912674, 88510464, 8587340258, 832973830276, 80798284478114, 7837433417318400, 760231058654565218, 73742412706667506564], "curve_counts_str": "98 9604 912674 88510464 8587340258 832973830276 80798284478114 7837433417318400 760231058654565218 73742412706667506564 ", "curves": ["y^2=x^3+29*x+29", "y^2=x^3+72*x+69", "y^2=x^3+96*x+96", "y^2=x^3+46*x+36"], "dim1_distinct": 1, "dim1_factors": 1, "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": 1, "g": 1, "galois_groups": ["2T1"], "geom_dim1_distinct": 1, "geom_dim1_factors": 1, "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": 1, "geometric_extension_degree": 2, "geometric_galois_groups": ["1T1"], "geometric_number_fields": ["1.1.1.1"], "geometric_splitting_field": "1.1.1.1", "geometric_splitting_polynomials": [[0, 1]], "group_structure_count": 1, "has_geom_ss_factor": true, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 0, "is_cyclic": true, "is_geometrically_simple": true, "is_geometrically_squarefree": true, "is_primitive": true, "is_simple": true, "is_squarefree": true, "is_supersingular": true, "jacobian_count": 4, "label": "1.97.a", "max_divalg_dim": 1, "max_geom_divalg_dim": 4, "max_twist_degree": 1, "newton_coelevation": 0, "newton_elevation": 1, "noncyclic_primes": [], "number_fields": ["2.0.388.1"], "p": 97, "p_rank": 0, "p_rank_deficit": 1, "poly": [1, 0, 97], "poly_str": "1 0 97 ", "primitive_models": [], "principal_polarization_count": 4, "q": 97, "real_poly": [1], "simple_distinct": ["1.97.a"], "simple_factors": ["1.97.aA"], "simple_multiplicities": [1], "singular_primes": [], "size": 4, "slopes": ["1/2A", "1/2B"], "splitting_field": "2.0.388.1", "splitting_polynomials": [[97, 0, 1]], "twist_count": 1, "twists": [], "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": 388, "zfv_singular_count": 0, "zfv_singular_primes": []}