# Stored data for abelian variety isogeny class 2.23.g_w, downloaded from the LMFDB on 31 May 2026.
{"abvar_count": 696, "abvar_counts": [696, 283968, 150918552, 78229776384, 41377144863576, 21916984929512256, 11592801161112532728, 6132682827707029291008, 3244144675100096997304056, 1716155558635802655999405888], "abvar_counts_str": "696 283968 150918552 78229776384 41377144863576 21916984929512256 11592801161112532728 6132682827707029291008 3244144675100096997304056 1716155558635802655999405888 ", "angle_corank": 0, "angle_rank": 2, "angles": [0.407627611179013, 0.865217056948345], "center_dim": 4, "cohen_macaulay_max": 2, "curve_count": 30, "curve_counts": [30, 538, 12402, 279550, 6428670, 148051834, 3404815122, 78311909950, 1801149199902, 41426504630938], "curve_counts_str": "30 538 12402 279550 6428670 148051834 3404815122 78311909950 1801149199902 41426504630938 ", "curves": ["y^2=6*x^6+13*x^5+21*x^4+10*x^3+16*x+3", "y^2=5*x^5+4*x^4+20*x^3+11*x^2+13*x+17", "y^2=4*x^6+22*x^5+7*x^4+15*x^3+19*x^2+8*x+1", "y^2=16*x^6+14*x^5+14*x^4+8*x^3+13*x^2+10", "y^2=17*x^6+2*x^5+13*x^4+17*x^2+13*x+7", "y^2=21*x^5+17*x^4+x^3+3*x^2+9*x+4", "y^2=12*x^6+x^5+16*x^4+19*x^3+16*x+14", "y^2=17*x^6+10*x^5+16*x^4+6*x^2+9*x+4", "y^2=12*x^6+13*x^5+21*x^4+10*x^3+22*x^2+9*x+9", "y^2=7*x^6+x^5+5*x^4+14*x^3+13*x^2+10*x", "y^2=20*x^6+7*x^5+7*x^4+2*x^3+17*x^2+12*x+4", "y^2=2*x^6+6*x^5+12*x^4+9*x^2+14*x+5", "y^2=4*x^6+8*x^5+x^4+16*x^3+15*x^2+12*x+9", "y^2=15*x^6+10*x^5+16*x^4+21*x^3+11*x^2+21*x+8", "y^2=10*x^6+x^5+18*x^4+22*x^3+8*x^2+16*x+20", "y^2=10*x^6+20*x^4+18*x^3+10*x^2+16*x+1", "y^2=4*x^6+4*x^5+17*x^4+8*x^3+19*x^2+2", "y^2=13*x^6+10*x^5+20*x^4+8*x^3+16*x^2+13*x+20", "y^2=16*x^6+4*x^5+20*x^4+15*x^3+4*x^2+22*x+17", "y^2=19*x^6+x^5+18*x^4+x^3+x^2+18*x+18", "y^2=7*x^6+6*x^5+4*x^4+6*x^2+7*x+4", "y^2=x^6+15*x^5+9*x^4+16*x^3+11*x^2+10*x+3", "y^2=10*x^6+13*x^5+5*x^4+6*x^3+7*x^2+5*x+10", "y^2=22*x^6+4*x^5+17*x^4+15*x^3+20*x^2+14*x+13", "y^2=3*x^6+7*x^5+7*x^4+12*x^3+x^2+12*x+10", "y^2=7*x^6+14*x^5+18*x^4+10*x^3+16*x^2+9*x+15", "y^2=8*x^6+x^5+x^4+8*x^3+3*x^2+x+12", "y^2=16*x^6+13*x^5+6*x^4+12*x^3+21*x^2+15*x+9", "y^2=9*x^6+12*x^5+10*x^4+5*x^3+4*x^2+6", "y^2=14*x^6+20*x^5+14*x^4+11*x^3+20*x^2+18*x+7", "y^2=3*x^6+6*x^5+x^4+7*x^3+9*x^2+3*x+5", "y^2=12*x^6+22*x^5+10*x^4+6*x^3+19*x^2+9*x+9", "y^2=16*x^6+4*x^5+x^4+8*x^3+13*x^2+7*x+16", "y^2=21*x^6+14*x^5+5*x^4+x^3+9*x^2+21*x+13", "y^2=9*x^6+7*x^5+4*x^4+4*x^3+10*x^2+17*x+19", "y^2=6*x^6+3*x^5+17*x^4+2*x^3+17*x^2+16*x+12", "y^2=15*x^6+17*x^5+7*x^4+11*x^3+4*x^2+4*x+15", "y^2=11*x^5+2*x^4+14*x^3+19*x^2+22*x+9", "y^2=11*x^6+2*x^5+6*x^4+13*x^3+9*x^2+19*x+22", "y^2=4*x^6+10*x^5+15*x^4+6*x^2+11*x+12", "y^2=17*x^6+19*x^5+2*x^4+13*x^3+21*x^2+5*x+16", "y^2=x^6+12*x^5+18*x^4+20*x^3+11*x^2+13*x+8", "y^2=3*x^5+14*x^4+11*x^3+11*x^2+2*x+4", "y^2=18*x^6+17*x^5+16*x^4+20*x^3+x^2+20*x+1", "y^2=8*x^6+21*x^5+13*x^4+4*x^3+12*x^2+17*x+13", "y^2=13*x^6+13*x^5+3*x^4+11*x^3+22*x^2+9*x+18", "y^2=16*x^6+x^5+11*x^4+14*x^3+17*x^2+19*x+17", "y^2=2*x^5+21*x^4+2*x^3+3*x^2+17*x+4", "y^2=19*x^6+7*x^5+7*x^4+10*x^3+12*x^2+2*x+8", "y^2=6*x^6+15*x^5+6*x^4+22*x^3+11*x^2+14*x+6", "y^2=13*x^6+5*x^5+20*x^4+8*x^3+x^2+x", "y^2=17*x^6+13*x^5+4*x^4+11*x^3+18*x^2+13*x+21", "y^2=19*x^6+22*x^5+11*x^4+20*x^3+4*x^2+14*x+3", "y^2=5*x^6+8*x^4+16*x^3+9*x^2+11*x+13", "y^2=13*x^6+4*x^5+19*x^4+13*x^3+17*x^2+3*x", "y^2=21*x^6+11*x^5+9*x^4+18*x^3+5*x^2+3*x+10", "y^2=13*x^6+6*x^5+9*x^4+8*x^2+17*x+7", "y^2=22*x^6+4*x^4+8*x^3+10*x^2+5*x+6", "y^2=16*x^6+21*x^5+15*x^4+3*x^3+2*x^2+11*x+5", "y^2=9*x^6+15*x^5+7*x^4+11*x^3+8*x+8"], "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": 4, "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": ["4.0.357192.1"], "geometric_splitting_field": "4.0.357192.1", "geometric_splitting_polynomials": [[82, 0, 25, 0, 1]], "group_structure_count": 3, "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 60, "is_cyclic": false, "is_geometrically_simple": true, "is_geometrically_squarefree": true, "is_primitive": true, "is_simple": true, "is_squarefree": true, "is_supersingular": false, "jacobian_count": 60, "label": "2.23.g_w", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 2, "newton_coelevation": 2, "newton_elevation": 0, "noncyclic_primes": [2], "number_fields": ["4.0.357192.1"], "p": 23, "p_rank": 2, "p_rank_deficit": 0, "poly": [1, 6, 22, 138, 529], "poly_str": "1 6 22 138 529 ", "primitive_models": [], "q": 23, "real_poly": [1, 6, -24], "simple_distinct": ["2.23.g_w"], "simple_factors": ["2.23.g_wA"], "simple_multiplicities": [1], "singular_primes": ["2,-F^2-F"], "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "4.0.357192.1", "splitting_polynomials": [[82, 0, 25, 0, 1]], "twist_count": 2, "twists": [["2.23.ag_w", "2.529.i_aek", 2]], "weak_equivalence_count": 5, "zfv_index": 8, "zfv_index_factorization": [[2, 3]], "zfv_is_bass": false, "zfv_is_maximal": false, "zfv_plus_index": 2, "zfv_plus_index_factorization": [[2, 1]], "zfv_plus_norm": 1312, "zfv_singular_count": 2, "zfv_singular_primes": ["2,-F^2-F"]}