# Stored data for abelian variety isogeny class 2.43.ay_iv, downloaded from the LMFDB on 27 March 2026.
{"abvar_count": 1023, "abvar_counts": [1023, 3207105, 6287128848, 11685744524025, 21612113707735023, 39959882914299828480, 73885365831535379680119, 136613995071113597933320425, 252599315035141729129084161552, 467056160729787308267771150861025], "abvar_counts_str": "1023 3207105 6287128848 11685744524025 21612113707735023 39959882914299828480 73885365831535379680119 136613995071113597933320425 252599315035141729129084161552 467056160729787308267771150861025 ", "all_polarized_product": false, "all_unpolarized_product": false, "angle_corank": 0, "angle_rank": 2, "angles": [0.0421616081609719, 0.183291501244178], "center_dim": 4, "cohen_macaulay_max": 1, "curve_count": 20, "curve_counts": [20, 1732, 79076, 3418084, 147012740, 6321402934, 271818642332, 11688197654596, 502592575051388, 21611481987179332], "curve_counts_str": "20 1732 79076 3418084 147012740 6321402934 271818642332 11688197654596 502592575051388 21611481987179332 ", "curves": ["y^2=30*x^6+9*x^5+28*x^4+8*x^3+33*x^2+4*x+28", "y^2=35*x^6+16*x^5+39*x^4+41*x^3+12*x^2+15*x+1"], "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": 2, "g": 2, "galois_groups": ["2T1", "2T1"], "geom_dim1_distinct": 2, "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": 4, "geometric_extension_degree": 1, "geometric_galois_groups": ["2T1", "2T1"], "geometric_number_fields": ["2.0.3.1", "2.0.51.1"], "geometric_splitting_field": "4.0.2601.1", "geometric_splitting_polynomials": [[16, 4, 5, -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": true, "is_primitive": true, "is_simple": false, "is_squarefree": true, "is_supersingular": false, "jacobian_count": 2, "label": "2.43.ay_iv", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 6, "newton_coelevation": 2, "newton_elevation": 0, "noncyclic_primes": [], "number_fields": ["2.0.3.1", "2.0.51.1"], "p": 43, "p_rank": 2, "p_rank_deficit": 0, "pic_prime_gens": [[2, 3, 1, 2]], "poly": [1, -24, 229, -1032, 1849], "poly_str": "1 -24 229 -1032 1849 ", "primitive_models": [], "principal_polarization_count": 4, "q": 43, "real_poly": [1, -24, 143], "simple_distinct": ["1.43.an", "1.43.al"], "simple_factors": ["1.43.anA", "1.43.alA"], "simple_multiplicities": [1, 1], "singular_primes": ["2,F^2-5*F+61"], "size": 4, "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "4.0.2601.1", "splitting_polynomials": [[16, 4, 5, -1, 1]], "twist_count": 12, "twists": [["2.43.ac_acf", "2.1849.aeo_jtz", 2], ["2.43.c_acf", "2.1849.aeo_jtz", 2], ["2.43.y_iv", "2.1849.aeo_jtz", 2], ["2.43.ag_bf", "2.79507.aqq_glny", 3], ["2.43.ad_ac", "2.79507.aqq_glny", 3], ["2.43.at_gs", "2.6321363049.chaa_anqbjroc", 6], ["2.43.aq_fl", "2.6321363049.chaa_anqbjroc", 6], ["2.43.d_ac", "2.6321363049.chaa_anqbjroc", 6], ["2.43.g_bf", "2.6321363049.chaa_anqbjroc", 6], ["2.43.q_fl", "2.6321363049.chaa_anqbjroc", 6], ["2.43.t_gs", "2.6321363049.chaa_anqbjroc", 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": 1, "zfv_plus_index_factorization": [], "zfv_plus_norm": 153, "zfv_singular_count": 2, "zfv_singular_primes": ["2,F^2-5*F+61"]}