# Stored data for abelian variety isogeny class 2.29.an_dg, downloaded from the LMFDB on 27 October 2025.
{"abvar_count": 536, "abvar_counts": [536, 705376, 593553536, 498743154560, 420445732619896, 353811384255379456, 297562338916222293176, 250246752474241697000960, 210457223722006944273282176, 176994573371193988897424293216], "abvar_counts_str": "536 705376 593553536 498743154560 420445732619896 353811384255379456 297562338916222293176 250246752474241697000960 210457223722006944273282176 176994573371193988897424293216 ", "all_polarized_product": false, "all_unpolarized_product": false, "angle_corank": 0, "angle_rank": 2, "angles": [0.0672107836573051, 0.426379556366298], "center_dim": 4, "cohen_macaulay_max": 1, "curve_count": 17, "curve_counts": [17, 841, 24338, 705153, 20498397, 594817606, 17250114353, 500246970273, 14507141795642, 420707226692481], "curve_counts_str": "17 841 24338 705153 20498397 594817606 17250114353 500246970273 14507141795642 420707226692481 ", "curves": ["y^2=23*x^5+16*x^4+28*x^3+10*x^2+14*x+17", "y^2=18*x^6+25*x^5+15*x^4+26*x^3+9*x^2+19*x+26", "y^2=2*x^6+x^5+6*x^4+8*x^3+15*x^2+7*x+21", "y^2=8*x^6+21*x^5+17*x^4+20*x^3+15*x^2+2*x+11", "y^2=12*x^6+22*x^5+10*x^4+19*x^3+3*x^2+26*x+3", "y^2=18*x^6+16*x^5+9*x^4+2*x^3+15*x^2+28", "y^2=17*x^6+7*x^4+20*x^3+21*x^2+20*x+10", "y^2=2*x^6+24*x^5+16*x^4+19*x^3+9*x^2+26*x+2", "y^2=27*x^6+6*x^5+5*x^4+12*x^3+2*x^2+10*x+17", "y^2=12*x^6+9*x^5+13*x^4+28*x^3+10*x^2+23*x+7", "y^2=21*x^6+12*x^5+8*x^4+5*x^3+12*x^2+2*x+7", "y^2=8*x^6+21*x^5+7*x^4+9*x^3+2*x^2+26*x+22"], "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": 2, "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": ["4.0.591500.2"], "geometric_splitting_field": "4.0.591500.2", "geometric_splitting_polynomials": [[35, 0, 20, 0, 1]], "group_structure_count": 2, "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 12, "is_geometrically_simple": true, "is_geometrically_squarefree": true, "is_primitive": true, "is_simple": true, "is_squarefree": true, "is_supersingular": false, "jacobian_count": 12, "label": "2.29.an_dg", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 2, "newton_coelevation": 2, "newton_elevation": 0, "number_fields": ["4.0.591500.2"], "p": 29, "p_rank": 2, "p_rank_deficit": 0, "pic_prime_gens": [[1, 2, 1, 2], [1, 5, 1, 4], [1, 7, 1, 4]], "poly": [1, -13, 84, -377, 841], "poly_str": "1 -13 84 -377 841 ", "primitive_models": [], "principal_polarization_count": 12, "q": 29, "real_poly": [1, -13, 26], "simple_distinct": ["2.29.an_dg"], "simple_factors": ["2.29.an_dgA"], "simple_multiplicities": [1], "singular_primes": ["2,2*F^2+F+3"], "size": 24, "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "4.0.591500.2", "splitting_polynomials": [[35, 0, 20, 0, 1]], "twist_count": 2, "twists": [["2.29.n_dg", "2.841.ab_aboy", 2]], "weak_equivalence_count": 2, "zfv_index": 2, "zfv_index_factorization": [[2, 1]], "zfv_is_bass": true, "zfv_is_maximal": false, "zfv_pic_size": 16, "zfv_plus_index": 1, "zfv_plus_index_factorization": [], "zfv_plus_norm": 560, "zfv_singular_count": 2, "zfv_singular_primes": ["2,2*F^2+F+3"]}