# Stored data for abelian variety isogeny class 2.59.abb_ll, downloaded from the LMFDB on 27 March 2026.
{"abvar_count": 2159, "abvar_counts": [2159, 11656441, 42097354337, 146831303228221, 511117601662791824, 1779190465428256488169, 6193378056873441286926629, 21559171843321877030129766549, 75047493812561396428448545540787, 261240334514429174124014224199723776], "abvar_counts_str": "2159 11656441 42097354337 146831303228221 511117601662791824 1779190465428256488169 6193378056873441286926629 21559171843321877030129766549 75047493812561396428448545540787 261240334514429174124014224199723776 ", "all_polarized_product": false, "all_unpolarized_product": false, "angle_corank": 0, "angle_rank": 2, "angles": [0.0280281080987843, 0.224500357008691], "center_dim": 4, "cohen_macaulay_max": 1, "curve_count": 33, "curve_counts": [33, 3347, 204975, 12117435, 714925488, 42180368807, 2488648207533, 146830399711939, 8662995502197255, 511116751363394102], "curve_counts_str": "33 3347 204975 12117435 714925488 42180368807 2488648207533 146830399711939 8662995502197255 511116751363394102 ", "curves": ["y^2=18*x^6+46*x^5+47*x^4+53*x^3+43*x^2+6*x+41"], "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": ["4.0.30589.1"], "geometric_splitting_field": "4.0.30589.1", "geometric_splitting_polynomials": [[17, 2, 6, -1, 1]], "group_structure_count": 1, "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 1, "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": 1, "label": "2.59.abb_ll", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 2, "newton_coelevation": 2, "newton_elevation": 0, "noncyclic_primes": [], "number_fields": ["4.0.30589.1"], "p": 59, "p_rank": 2, "p_rank_deficit": 0, "pic_prime_gens": [], "poly": [1, -27, 297, -1593, 3481], "poly_str": "1 -27 297 -1593 3481 ", "primitive_models": [], "principal_polarization_count": 1, "q": 59, "real_poly": [1, -27, 179], "simple_distinct": ["2.59.abb_ll"], "simple_factors": ["2.59.abb_llA"], "simple_multiplicities": [1], "singular_primes": [], "size": 1, "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "4.0.30589.1", "splitting_polynomials": [[17, 2, 6, -1, 1]], "twist_count": 2, "twists": [["2.59.bb_ll", "2.3481.aff_nnx", 2]], "weak_equivalence_count": 1, "zfv_index": 1, "zfv_index_factorization": [], "zfv_is_bass": true, "zfv_is_maximal": true, "zfv_pic_size": 1, "zfv_plus_index": 1, "zfv_plus_index_factorization": [], "zfv_plus_norm": 181, "zfv_singular_count": 0, "zfv_singular_primes": []}