# Stored data for abelian variety isogeny class 2.29.at_fr, downloaded from the LMFDB on 23 October 2025.
{"abvar_count": 419, "abvar_counts": [419, 653221, 591589871, 500399293829, 420763339919824, 353816656739478181, 297556318992829138199, 250245850503173201635589, 210457169371889034043151051, 176994563000117004873486443776], "abvar_counts_str": "419 653221 591589871 500399293829 420763339919824 353816656739478181 297556318992829138199 250245850503173201635589 210457169371889034043151051 176994563000117004873486443776 ", "all_polarized_product": false, "all_unpolarized_product": false, "angle_corank": 0, "angle_rank": 2, "angles": [0.0535929210308538, 0.21610966240882], "center_dim": 4, "cohen_macaulay_max": 1, "curve_count": 11, "curve_counts": [11, 775, 24257, 707499, 20513886, 594826471, 17249765369, 500245167219, 14507138049203, 420707202040950], "curve_counts_str": "11 775 24257 707499 20513886 594826471 17249765369 500245167219 14507138049203 420707202040950 ", "curves": ["y^2=8*x^6+19*x^5+22*x^4+15*x^3+24*x^2+4*x+5"], "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": ["4.0.3725.1"], "geometric_splitting_field": "4.0.3725.1", "geometric_splitting_polynomials": [[11, -7, 8, -2, 1]], "group_structure_count": 1, "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 1, "is_geometrically_simple": true, "is_geometrically_squarefree": true, "is_primitive": true, "is_simple": true, "is_squarefree": true, "is_supersingular": false, "jacobian_count": 1, "label": "2.29.at_fr", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 2, "newton_coelevation": 2, "newton_elevation": 0, "number_fields": ["4.0.3725.1"], "p": 29, "p_rank": 2, "p_rank_deficit": 0, "pic_prime_gens": [], "poly": [1, -19, 147, -551, 841], "poly_str": "1 -19 147 -551 841 ", "primitive_models": [], "principal_polarization_count": 1, "q": 29, "real_poly": [1, -19, 89], "simple_distinct": ["2.29.at_fr"], "simple_factors": ["2.29.at_frA"], "simple_multiplicities": [1], "singular_primes": [], "size": 1, "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "4.0.3725.1", "splitting_polynomials": [[11, -7, 8, -2, 1]], "twist_count": 2, "twists": [["2.29.t_fr", "2.841.acp_dmn", 2]], "weak_equivalence_count": 1, "zfv_index": 1, "zfv_index_factorization": [], "zfv_is_bass": true, "zfv_is_maximal": true, "zfv_pic_size": 1, "zfv_plus_index": 1, "zfv_plus_index_factorization": [], "zfv_plus_norm": 149, "zfv_singular_count": 0, "zfv_singular_primes": []}