# Stored data for abelian variety isogeny class 2.29.ap_ef, downloaded from the LMFDB on 15 June 2026.
{"abvar_count": 501, "abvar_counts": [501, 701901, 600332769, 500939022789, 420701095032576, 353810481229047861, 297560992750640898801, 250247592282045909819429, 210457475971638511082243949, 176994588799567769195234635776], "abvar_counts_str": "501 701901 600332769 500939022789 420701095032576 353810481229047861 297560992750640898801 250247592282045909819429 210457475971638511082243949 176994588799567769195234635776 ", "angle_corank": 0, "angle_rank": 2, "angles": [0.136772039682967, 0.339322847565963], "center_dim": 4, "cohen_macaulay_max": 1, "curve_count": 15, "curve_counts": [15, 835, 24615, 708259, 20510850, 594816091, 17250036315, 500248649059, 14507159183595, 420707263364950], "curve_counts_str": "15 835 24615 708259 20510850 594816091 17250036315 500248649059 14507159183595 420707263364950 ", "curves": ["y^2=26*x^6+23*x^5+10*x^4+3*x^3+5*x^2+15*x+17", "y^2=18*x^6+7*x^5+20*x^4+6*x^3+4*x^2+23*x+11", "y^2=14*x^6+22*x^5+2*x^4+23*x^3+17*x^2+25*x+27", "y^2=21*x^6+2*x^5+6*x^3+9*x^2+28*x+18", "y^2=22*x^6+25*x^5+14*x^4+7*x^3+28*x^2+5*x+3", "y^2=27*x^6+24*x^5+24*x^4+26*x^2+23*x+1"], "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": ["4T3"], "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": ["4T3"], "geometric_number_fields": ["4.0.788949.1"], "geometric_splitting_field": "4.0.788949.1", "geometric_splitting_polynomials": [[141, 27, 25, -1, 1]], "group_structure_count": 1, "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 6, "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": 6, "label": "2.29.ap_ef", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 2, "newton_coelevation": 2, "newton_elevation": 0, "noncyclic_primes": [], "number_fields": ["4.0.788949.1"], "p": 29, "p_rank": 2, "p_rank_deficit": 0, "poly": [1, -15, 109, -435, 841], "poly_str": "1 -15 109 -435 841 ", "primitive_models": [], "q": 29, "real_poly": [1, -15, 51], "simple_distinct": ["2.29.ap_ef"], "simple_factors": ["2.29.ap_efA"], "simple_multiplicities": [1], "singular_primes": [], "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "4.0.788949.1", "splitting_polynomials": [[141, 27, 25, -1, 1]], "twist_count": 2, "twists": [["2.29.p_ef", "2.841.ah_tt", 2]], "weak_equivalence_count": 1, "zfv_index": 1, "zfv_index_factorization": [], "zfv_is_bass": true, "zfv_is_maximal": true, "zfv_plus_index": 1, "zfv_plus_index_factorization": [], "zfv_plus_norm": 1789, "zfv_singular_count": 0, "zfv_singular_primes": []}