# Stored data for abelian variety isogeny class 2.29.ar_ez, downloaded from the LMFDB on 07 November 2025.
{"abvar_count": 461, "abvar_counts": [461, 682741, 599420321, 501777084245, 420945811577296, 353836892978425981, 297558922078611396041, 250246373550914869847045, 210457284172575820900943741, 176994582057589430870181769216], "abvar_counts_str": "461 682741 599420321 501777084245 420945811577296 353836892978425981 297558922078611396041 250246373550914869847045 210457284172575820900943741 176994582057589430870181769216 ", "angle_corank": 0, "angle_rank": 2, "angles": [0.148587705548809, 0.259628098962837], "center_dim": 4, "cohen_macaulay_max": 1, "curve_count": 13, "curve_counts": [13, 811, 24577, 709443, 20522778, 594860491, 17249916277, 500246212803, 14507145962593, 420707247339606], "curve_counts_str": "13 811 24577 709443 20522778 594860491 17249916277 500246212803 14507145962593 420707247339606 ", "curves": ["y^2=3*x^6+5*x^5+20*x^4+16*x^3+9*x^2+x+14", "y^2=17*x^6+26*x^5+8*x^4+2*x^3+8*x^2+14*x+15"], "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": ["4.0.36125.1"], "geometric_splitting_field": "4.0.36125.1", "geometric_splitting_polynomials": [[101, -21, 21, -1, 1]], "group_structure_count": 1, "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 2, "is_geometrically_simple": true, "is_geometrically_squarefree": true, "is_primitive": true, "is_simple": true, "is_squarefree": true, "is_supersingular": false, "jacobian_count": 2, "label": "2.29.ar_ez", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 2, "newton_coelevation": 2, "newton_elevation": 0, "number_fields": ["4.0.36125.1"], "p": 29, "p_rank": 2, "p_rank_deficit": 0, "poly": [1, -17, 129, -493, 841], "poly_str": "1 -17 129 -493 841 ", "primitive_models": [], "q": 29, "real_poly": [1, -17, 71], "simple_distinct": ["2.29.ar_ez"], "simple_factors": ["2.29.ar_ezA"], "simple_multiplicities": [1], "singular_primes": [], "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "4.0.36125.1", "splitting_polynomials": [[101, -21, 21, -1, 1]], "twist_count": 2, "twists": [["2.29.r_ez", "2.841.abf_cib", 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": 1445, "zfv_singular_count": 0, "zfv_singular_primes": []}