# Stored data for abelian variety isogeny class 2.61.abb_ls, downloaded from the LMFDB on 12 February 2026.
{"abvar_count": 2352, "abvar_counts": [2352, 13406400, 51520795200, 191807027193600, 713423619261382512, 2654392338040343040000, 9876849924977249890820592, 36751698483286618954697702400, 136753052840548015382510835124800, 508858108653623078737901572967160000], "abvar_counts_str": "2352 13406400 51520795200 191807027193600 713423619261382512 2654392338040343040000 9876849924977249890820592 36751698483286618954697702400 136753052840548015382510835124800 508858108653623078737901572967160000 ", "all_polarized_product": true, "all_unpolarized_product": true, "angle_corank": 1, "angle_rank": 1, "angles": [0.146275019398249, 0.187058313935084], "center_dim": 4, "cohen_macaulay_max": 1, "curve_count": 35, "curve_counts": [35, 3601, 226982, 13853041, 844691855, 51521216038, 3142748369915, 191707337131201, 11694146092834142, 713342910308616601], "curve_counts_str": "35 3601 226982 13853041 844691855 51521216038 3142748369915 191707337131201 11694146092834142 713342910308616601 ", "curves": [], "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": 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": 6, "geometric_galois_groups": ["2T1"], "geometric_number_fields": ["2.0.3.1"], "geometric_splitting_field": "2.0.3.1", "geometric_splitting_polynomials": [[1, -1, 1]], "group_structure_count": 3, "has_geom_ss_factor": false, "has_jacobian": -1, "has_principal_polarization": 1, "hyp_count": 0, "is_cyclic": false, "is_geometrically_simple": false, "is_geometrically_squarefree": false, "is_primitive": true, "is_simple": false, "is_squarefree": true, "is_supersingular": false, "jacobian_count": 0, "label": "2.61.abb_ls", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 12, "newton_coelevation": 2, "newton_elevation": 0, "noncyclic_primes": [2], "number_fields": ["2.0.3.1", "2.0.3.1"], "p": 61, "p_rank": 2, "p_rank_deficit": 0, "pic_prime_gens": [[1, 3, 1, 2], [2, 3, 1, 2]], "poly": [1, -27, 304, -1647, 3721], "poly_str": "1 -27 304 -1647 3721 ", "primitive_models": [], "principal_polarization_count": 12, "q": 61, "real_poly": [1, -27, 182], "simple_distinct": ["1.61.ao", "1.61.an"], "simple_factors": ["1.61.aoA", "1.61.anA"], "simple_multiplicities": [1, 1], "singular_primes": ["2,-F-2*V+25", "5,18*F+21*V-291"], "size": 12, "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "2.0.3.1", "splitting_polynomials": [[1, -1, 1]], "twist_count": 24, "twists": [["2.61.ab_aci", "2.3721.aer_qea", 2], ["2.61.b_aci", "2.3721.aer_qea", 2], ["2.61.bb_ls", "2.3721.aer_qea", 2], ["2.61.ap_fg", "2.226981.a_xyoc", 3], ["2.61.am_ef", "2.226981.a_xyoc", 3], ["2.61.a_acw", "2.226981.a_xyoc", 3], ["2.61.a_abv", "2.226981.a_xyoc", 3], ["2.61.a_er", "2.226981.a_xyoc", 3], ["2.61.m_ef", "2.226981.a_xyoc", 3], ["2.61.p_fg", "2.226981.a_xyoc", 3], ["2.61.bb_ls", "2.226981.a_xyoc", 3], ["2.61.abc_mg", "2.51520374361.bvxce_biwwnttgg", 6], ["2.61.aba_lf", "2.51520374361.bvxce_biwwnttgg", 6], ["2.61.ao_ff", "2.51520374361.bvxce_biwwnttgg", 6], ["2.61.an_ee", "2.51520374361.bvxce_biwwnttgg", 6], ["2.61.ac_et", "2.51520374361.bvxce_biwwnttgg", 6], ["2.61.c_et", "2.51520374361.bvxce_biwwnttgg", 6], ["2.61.n_ee", "2.51520374361.bvxce_biwwnttgg", 6], ["2.61.o_ff", "2.51520374361.bvxce_biwwnttgg", 6], ["2.61.ba_lf", "2.51520374361.bvxce_biwwnttgg", 6], ["2.61.bc_mg", "2.51520374361.bvxce_biwwnttgg", 6], ["2.61.a_aer", "2.2654348974297586158321.aslnftuee_glilyrtgymllhqmg", 12], ["2.61.a_bv", "2.2654348974297586158321.aslnftuee_glilyrtgymllhqmg", 12], ["2.61.a_cw", "2.2654348974297586158321.aslnftuee_glilyrtgymllhqmg", 12]], "weak_equivalence_count": 6, "zfv_index": 20, "zfv_index_factorization": [[2, 2], [5, 1]], "zfv_is_bass": true, "zfv_is_maximal": false, "zfv_pic_size": 4, "zfv_plus_index": 1, "zfv_plus_index_factorization": [], "zfv_plus_norm": 3600, "zfv_singular_count": 4, "zfv_singular_primes": ["2,-F-2*V+25", "5,18*F+21*V-291"]}