# Stored data for abelian variety isogeny class 2.29.ag_co, downloaded from the LMFDB on 24 November 2025.
{"abvar_count": 728, "abvar_counts": [728, 792064, 605894744, 499317145600, 420382317002648, 353808445281281536, 297564692233130213528, 250247123823444649574400, 210457205380303408215003224, 176994557503252769613679650304], "abvar_counts_str": "728 792064 605894744 499317145600 420382317002648 353808445281281536 297564692233130213528 250247123823444649574400 210457205380303408215003224 176994557503252769613679650304 ", "angle_corank": 0, "angle_rank": 2, "angles": [0.378881058409157, 0.440546251001648], "center_dim": 4, "cohen_macaulay_max": 2, "curve_count": 24, "curve_counts": [24, 938, 24840, 705966, 20495304, 594812666, 17250250776, 500247712606, 14507140531320, 420707188975178], "curve_counts_str": "24 938 24840 705966 20495304 594812666 17250250776 500247712606 14507140531320 420707188975178 ", "curves": ["y^2=26*x^6+6*x^5+27*x^4+18*x^3+27*x^2+6*x+26", "y^2=23*x^6+22*x^5+10*x^4+16*x^3+10*x^2+22*x+23", "y^2=27*x^6+26*x^5+x^4+24*x^3+13*x^2+15*x+14", "y^2=4*x^6+4*x^5+5*x^4+12*x^3+4*x^2+13*x+22", "y^2=18*x^6+13*x^5+15*x^4+15*x^2+13*x+18", "y^2=6*x^5+22*x^4+18*x^3+22*x^2+6*x", "y^2=17*x^6+4*x^5+18*x^4+7*x^3+18*x^2+4*x+17", "y^2=18*x^6+23*x^5+2*x^4+25*x^3+21*x^2+20*x+8", "y^2=13*x^6+22*x^5+10*x^4+25*x^3+17*x^2+5*x+7", "y^2=18*x^6+3*x^5+22*x^4+12*x^3+22*x^2+3*x+18"], "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": ["2.0.4.1", "2.0.7.1"], "geometric_splitting_field": "4.0.784.1", "geometric_splitting_polynomials": [[4, 0, -3, 0, 1]], "group_structure_count": 3, "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 10, "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.ag_co", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 4, "newton_coelevation": 2, "newton_elevation": 0, "number_fields": ["2.0.4.1", "2.0.7.1"], "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.ae", "1.29.ac"], "simple_factors": ["1.29.aeA", "1.29.acA"], "simple_multiplicities": [1, 1], "singular_primes": ["2,5*V-17", "5,20*F+16*V-32"], "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "4.0.784.1", "splitting_polynomials": [[4, 0, -3, 0, 1]], "twist_count": 8, "twists": [["2.29.ac_by", "2.841.ds_fvy", 2], ["2.29.c_by", "2.841.ds_fvy", 2], ["2.29.g_co", "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": ["2,5*V-17", "5,20*F+16*V-32"]}