# Stored data for abelian variety isogeny class 2.41.a_adb, downloaded from the LMFDB on 13 January 2026.
{"abvar_count": 1603, "abvar_counts": [1603, 2569609, 4750009600, 7968668431689, 13422659260913203, 22562591200092160000, 37929227195041234820803, 63758988800279907999552009, 107178930967532285315819142400, 180167781634578973009253499719209], "abvar_counts_str": "1603 2569609 4750009600 7968668431689 13422659260913203 22562591200092160000 37929227195041234820803 63758988800279907999552009 107178930967532285315819142400 180167781634578973009253499719209 ", "all_polarized_product": false, "all_unpolarized_product": false, "angle_corank": 1, "angle_rank": 1, "angles": [0.043183900918734, 0.956816099081266], "center_dim": 4, "cohen_macaulay_max": 1, "curve_count": 42, "curve_counts": [42, 1524, 68922, 2820004, 115856202, 4749914958, 194754273882, 7984919954884, 327381934393962, 13422659211674004], "curve_counts_str": "42 1524 68922 2820004 115856202 4749914958 194754273882 7984919954884 327381934393962 13422659211674004 ", "curves": ["y^2=30*x^6+37*x^5+18*x^4+6*x^3+28*x^2+5*x+10", "y^2=16*x^6+22*x^5+28*x^4+33*x^3+2*x^2+34*x+22"], "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": ["2.0.483.1"], "geometric_splitting_field": "2.0.483.1", "geometric_splitting_polynomials": [[121, -1, 1]], "group_structure_count": 1, "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 2, "is_cyclic": true, "is_geometrically_simple": false, "is_geometrically_squarefree": false, "is_primitive": true, "is_simple": true, "is_squarefree": true, "is_supersingular": false, "jacobian_count": 2, "label": "2.41.a_adb", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 6, "newton_coelevation": 2, "newton_elevation": 0, "noncyclic_primes": [], "number_fields": ["4.0.233289.3"], "p": 41, "p_rank": 2, "p_rank_deficit": 0, "pic_prime_gens": [[1, 7, 1, 2]], "poly": [1, 0, -79, 0, 1681], "poly_str": "1 0 -79 0 1681 ", "primitive_models": [], "principal_polarization_count": 4, "q": 41, "real_poly": [1, 0, -161], "simple_distinct": ["2.41.a_adb"], "simple_factors": ["2.41.a_adbA"], "simple_multiplicities": [1], "singular_primes": ["2,F^2-9*F+4*V-1"], "size": 4, "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "4.0.233289.3", "splitting_polynomials": [[1600, 40, 41, -1, 1]], "twist_count": 4, "twists": [["2.41.ad_bs", "2.68921.a_afkac", 3], ["2.41.d_bs", "2.68921.a_afkac", 3], ["2.41.a_db", "2.2825761.ainm_bendod", 4], ["2.41.ad_bs", "2.4750104241.akuae_chtmdewc", 6], ["2.41.d_bs", "2.4750104241.akuae_chtmdewc", 6]], "weak_equivalence_count": 2, "zfv_index": 4, "zfv_index_factorization": [[2, 2]], "zfv_is_bass": true, "zfv_is_maximal": false, "zfv_pic_size": 2, "zfv_plus_index": 2, "zfv_plus_index_factorization": [[2, 1]], "zfv_plus_norm": 9, "zfv_singular_count": 2, "zfv_singular_primes": ["2,F^2-9*F+4*V-1"]}