# Stored data for abelian variety isogeny class 2.41.v_hj, downloaded from the LMFDB on 10 December 2025.
{"abvar_count": 2755, "abvar_counts": [2755, 2730205, 4737170155, 7995899509605, 13419195193750000, 22564196278680584005, 37929142825610305401955, 63759030388920630320850405, 107178933073082282042909580355, 180167782965483875237718100000000], "abvar_counts_str": "2755 2730205 4737170155 7995899509605 13419195193750000 22564196278680584005 37929142825610305401955 63759030388920630320850405 107178933073082282042909580355 180167782965483875237718100000000 ", "all_polarized_product": false, "all_unpolarized_product": false, "angle_corank": 0, "angle_rank": 2, "angles": [0.761697326518416, 0.861796775820454], "center_dim": 4, "cohen_macaulay_max": 1, "curve_count": 63, "curve_counts": [63, 1623, 68733, 2829643, 115826298, 4750252863, 194753840673, 7984925163283, 327381940825443, 13422659310827598], "curve_counts_str": "63 1623 68733 2829643 115826298 4750252863 194753840673 7984925163283 327381940825443 13422659310827598 ", "curves": ["y^2=5*x^6+17*x^5+33*x^4+34*x^3+25*x^2+8*x+26", "y^2=35*x^6+37*x^5+7*x^4+32*x^3+3*x^2+9*x+1", "y^2=40*x^6+32*x^5+14*x^4+10*x^3+x^2+19*x+2", "y^2=5*x^6+25*x^5+30*x^4+11*x^3+8*x^2+19*x+9"], "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": ["4T1"], "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": ["4T1"], "geometric_number_fields": ["4.0.55125.1"], "geometric_splitting_field": "4.0.55125.1", "geometric_splitting_polynomials": [[151, -26, 26, -1, 1]], "group_structure_count": 1, "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 4, "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": 4, "label": "2.41.v_hj", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 2, "newton_coelevation": 2, "newton_elevation": 0, "noncyclic_primes": [], "number_fields": ["4.0.55125.1"], "p": 41, "p_rank": 2, "p_rank_deficit": 0, "pic_prime_gens": [[1, 5, 1, 2], [1, 3, 1, 2]], "poly": [1, 21, 191, 861, 1681], "poly_str": "1 21 191 861 1681 ", "primitive_models": [], "principal_polarization_count": 4, "q": 41, "real_poly": [1, 21, 109], "simple_distinct": ["2.41.v_hj"], "simple_factors": ["2.41.v_hjA"], "simple_multiplicities": [1], "singular_primes": [], "size": 4, "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "4.0.55125.1", "splitting_polynomials": [[151, -26, 26, -1, 1]], "twist_count": 2, "twists": [["2.41.av_hj", "2.1681.ach_flp", 2]], "weak_equivalence_count": 1, "zfv_index": 1, "zfv_index_factorization": [], "zfv_is_bass": true, "zfv_is_maximal": true, "zfv_pic_size": 4, "zfv_plus_index": 1, "zfv_plus_index_factorization": [], "zfv_plus_norm": 2205, "zfv_singular_count": 0, "zfv_singular_primes": []}