# Stored data for abelian variety isogeny class 2.29.g_co, downloaded from the LMFDB on 09 February 2026.
{"abvar_count": 1088, "abvar_counts": [1088, 792064, 583943744, 499317145600, 421032356368448, 353808445281281536, 297551773248765612608, 250247123823444649574400, 210457363350066654061020224, 176994557503252769613679650304], "abvar_counts_str": "1088 792064 583943744 499317145600 421032356368448 353808445281281536 297551773248765612608 250247123823444649574400 210457363350066654061020224 176994557503252769613679650304 ", "angle_corank": 0, "angle_rank": 2, "angles": [0.559453748998352, 0.621118941590843], "center_dim": 4, "cohen_macaulay_max": 2, "curve_count": 36, "curve_counts": [36, 938, 23940, 705966, 20526996, 594812666, 17249501844, 500247712606, 14507151420420, 420707188975178], "curve_counts_str": "36 938 23940 705966 20526996 594812666 17249501844 500247712606 14507151420420 420707188975178 ", "curves": ["y^2=23*x^6+12*x^5+25*x^4+7*x^3+25*x^2+12*x+23", "y^2=26*x^6+11*x^5+5*x^4+8*x^3+5*x^2+11*x+26", "y^2=25*x^6+23*x^5+2*x^4+19*x^3+26*x^2+x+28", "y^2=2*x^6+2*x^5+17*x^4+6*x^3+2*x^2+21*x+11", "y^2=7*x^6+26*x^5+x^4+x^2+26*x+7", "y^2=12*x^5+15*x^4+7*x^3+15*x^2+12*x", "y^2=23*x^6+2*x^5+9*x^4+18*x^3+9*x^2+2*x+23", "y^2=9*x^6+26*x^5+x^4+27*x^3+25*x^2+10*x+4", "y^2=21*x^6+11*x^5+5*x^4+27*x^3+23*x^2+17*x+18", "y^2=9*x^6+16*x^5+11*x^4+6*x^3+11*x^2+16*x+9"], "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": 16, "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": ["2.0.7.1", "2.0.4.1"], "geometric_splitting_field": "4.0.784.1", "geometric_splitting_polynomials": [[4, 0, -3, 0, 1]], "group_structure_count": 6, "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 10, "is_cyclic": false, "is_geometrically_simple": false, "is_geometrically_squarefree": true, "is_primitive": true, "is_simple": false, "is_squarefree": true, "is_supersingular": false, "jacobian_count": 10, "label": "2.29.g_co", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 4, "newton_coelevation": 2, "newton_elevation": 0, "noncyclic_primes": [2], "number_fields": ["2.0.7.1", "2.0.4.1"], "p": 29, "p_rank": 2, "p_rank_deficit": 0, "poly": [1, 6, 66, 174, 841], "poly_str": "1 6 66 174 841 ", "primitive_models": [], "q": 29, "real_poly": [1, 6, 8], "simple_distinct": ["1.29.c", "1.29.e"], "simple_factors": ["1.29.cA", "1.29.eA"], "simple_multiplicities": [1, 1], "singular_primes": ["2,2*F-V-3", "5,16*F+13*V+33"], "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "4.0.784.1", "splitting_polynomials": [[4, 0, -3, 0, 1]], "twist_count": 8, "twists": [["2.29.ag_co", "2.841.ds_fvy", 2], ["2.29.ac_by", "2.841.ds_fvy", 2], ["2.29.c_by", "2.841.ds_fvy", 2], ["2.29.am_da", "2.707281.abyq_diggc", 4], ["2.29.ai_bm", "2.707281.abyq_diggc", 4], ["2.29.i_bm", "2.707281.abyq_diggc", 4], ["2.29.m_da", "2.707281.abyq_diggc", 4]], "weak_equivalence_count": 20, "zfv_index": 80, "zfv_index_factorization": [[2, 4], [5, 1]], "zfv_is_bass": false, "zfv_is_maximal": false, "zfv_plus_index": 1, "zfv_plus_index_factorization": [], "zfv_plus_norm": 11200, "zfv_singular_count": 4, "zfv_singular_primes": ["2,2*F-V-3", "5,16*F+13*V+33"]}