# Stored data for abelian variety isogeny class 2.23.h_bm, downloaded from the LMFDB on 12 March 2026.
{"abvar_count": 736, "abvar_counts": [736, 294400, 148398208, 78245632000, 41378373457696, 21920908411494400, 11592870193850238112, 6132582656073391104000, 3244149520133635509085312, 1716155616625418877422272000], "abvar_counts_str": "736 294400 148398208 78245632000 41378373457696 21920908411494400 11592870193850238112 6132582656073391104000 3244149520133635509085312 1716155616625418877422272000 ", "all_polarized_product": false, "all_unpolarized_product": false, "angle_corank": 0, "angle_rank": 2, "angles": [0.466753484570318, 0.813988011405393], "center_dim": 4, "cohen_macaulay_max": 1, "curve_count": 31, "curve_counts": [31, 557, 12196, 279609, 6428861, 148078334, 3404835395, 78310630801, 1801151889868, 41426506030757], "curve_counts_str": "31 557 12196 279609 6428861 148078334 3404835395 78310630801 1801151889868 41426506030757 ", "curves": ["y^2=3*x^6+19*x^5+18*x^4+3*x^2+7*x+9", "y^2=8*x^6+2*x^5+3*x^4+x^3+22*x^2+9*x+18", "y^2=11*x^6+19*x^5+x^4+9*x^3+16*x^2+19*x+1", "y^2=13*x^6+9*x^5+x^4+11*x^3+7*x^2+4*x+5", "y^2=12*x^6+14*x^5+4*x^4+12*x^2+19*x+21", "y^2=4*x^6+19*x^5+10*x^4+5*x^3+8*x^2+20*x+15", "y^2=6*x^6+8*x^5+6*x^4+4*x^3+6*x+17", "y^2=3*x^6+2*x^5+8*x^4+14*x^3+13*x^2+11*x+13", "y^2=21*x^6+12*x^5+x^4+x^3+7*x^2+x+3", "y^2=12*x^6+10*x^5+20*x^4+9*x^3+11*x^2+2*x", "y^2=5*x^6+20*x^4+7*x^3+2*x^2+8*x+6", "y^2=17*x^6+7*x^5+17*x^4+3*x^3+10*x^2+18*x+13", "y^2=3*x^5+20*x^4+9*x^3+19*x^2+15", "y^2=6*x^6+14*x^5+6*x^4+10*x^3+5*x^2+10*x+18", "y^2=3*x^6+22*x^5+21*x^4+4*x^3+7*x^2+13*x+3", "y^2=17*x^6+19*x^5+2*x^4+13*x^3+22*x^2+16*x+4", "y^2=x^6+4*x^5+15*x^4+12*x^3+6*x^2+7*x+2", "y^2=5*x^6+14*x^5+14*x^4+10*x^3+15*x^2+10*x+13", "y^2=22*x^6+14*x^5+6*x^4+12*x^3+6*x^2+17*x+13", "y^2=16*x^6+x^5+13*x^4+12*x^3+10*x+3", "y^2=15*x^6+22*x^5+17*x^4+7*x^3+10*x^2+8*x+3", "y^2=12*x^6+15*x^5+16*x^4+14*x^3+2*x^2+x+2", "y^2=8*x^6+9*x^5+12*x^4+21*x^3+3*x^2+10*x+8", "y^2=13*x^6+21*x^5+21*x^4+16*x^3+9*x^2+x+7", "y^2=22*x^6+20*x^5+3*x^4+4*x^3+21*x^2+2*x", "y^2=2*x^6+12*x^5+2*x^4+20*x^3+6*x^2+16*x+10", "y^2=3*x^6+x^5+18*x^4+5*x^3+6*x^2+3*x+8", "y^2=18*x^6+9*x^5+14*x^4+3*x^3+11*x^2+6*x+6", "y^2=13*x^6+4*x^5+20*x^4+14*x^3+6*x^2+20*x+16", "y^2=14*x^6+16*x^5+19*x^4+14*x^3+18*x^2+17*x+2", "y^2=12*x^6+8*x^5+21*x^4+x^3+10*x^2+9*x+21", "y^2=12*x^6+19*x^5+3*x^4+9*x^3+6*x^2+15*x+11"], "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": 6, "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": ["2.0.91.1", "2.0.7.1"], "geometric_splitting_field": "4.0.8281.2", "geometric_splitting_polynomials": [[25, 0, -3, 0, 1]], "group_structure_count": 2, "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 32, "is_cyclic": false, "is_geometrically_simple": false, "is_geometrically_squarefree": true, "is_primitive": true, "is_simple": false, "is_squarefree": true, "is_supersingular": false, "jacobian_count": 32, "label": "2.23.h_bm", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 2, "newton_coelevation": 2, "newton_elevation": 0, "noncyclic_primes": [2], "number_fields": ["2.0.91.1", "2.0.7.1"], "p": 23, "p_rank": 2, "p_rank_deficit": 0, "pic_prime_gens": [[1, 2, 1, 3], [1, 5, 1, 12], [1, 7, 1, 6]], "poly": [1, 7, 38, 161, 529], "poly_str": "1 7 38 161 529 ", "primitive_models": [], "principal_polarization_count": 36, "q": 23, "real_poly": [1, 7, -8], "simple_distinct": ["1.23.ab", "1.23.i"], "simple_factors": ["1.23.abA", "1.23.iA"], "simple_multiplicities": [1, 1], "singular_primes": ["3,F^2+2*F+44", "2,-F-3"], "size": 164, "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "4.0.8281.2", "splitting_polynomials": [[25, 0, -3, 0, 1]], "twist_count": 4, "twists": [["2.23.aj_cc", "2.529.bb_jo", 2], ["2.23.ah_bm", "2.529.bb_jo", 2], ["2.23.j_cc", "2.529.bb_jo", 2]], "weak_equivalence_count": 6, "zfv_index": 162, "zfv_index_factorization": [[2, 1], [3, 4]], "zfv_is_bass": true, "zfv_is_maximal": false, "zfv_pic_size": 72, "zfv_plus_index": 1, "zfv_plus_index_factorization": [], "zfv_plus_norm": 2548, "zfv_singular_count": 4, "zfv_singular_primes": ["3,F^2+2*F+44", "2,-F-3"]}