# Stored data for abelian variety isogeny class 2.23.e_bm, downloaded from the LMFDB on 24 November 2025.
{"abvar_count": 664, "abvar_counts": [664, 313408, 146627800, 78291825664, 41407496274904, 21913638493172800, 11593539738097105816, 6132589636188704292864, 3244142602073001090635800, 1716156371963074688543499328], "abvar_counts_str": "664 313408 146627800 78291825664 41407496274904 21913638493172800 11593539738097105816 6132589636188704292864 3244142602073001090635800 1716156371963074688543499328 ", "angle_corank": 0, "angle_rank": 2, "angles": [0.45122148947742, 0.692929747904984], "center_dim": 4, "cohen_macaulay_max": 2, "curve_count": 28, "curve_counts": [28, 590, 12052, 279774, 6433388, 148029230, 3405032036, 78310719934, 1801148048956, 41426524263950], "curve_counts_str": "28 590 12052 279774 6433388 148029230 3405032036 78310719934 1801148048956 41426524263950 ", "curves": ["y^2=x^6+16*x^5+6*x^4+12*x^3+21*x^2+19*x+6", "y^2=8*x^6+17*x^5+18*x^3+19*x^2+16*x+20", "y^2=5*x^6+9*x^5+16*x^4+6*x^2+11*x+6", "y^2=13*x^6+8*x^5+11*x^4+16*x^3+19*x^2+9*x+3", "y^2=10*x^6+17*x^5+8*x^3+2*x^2+9*x", "y^2=20*x^6+21*x^5+4*x^4+8*x^3+9*x^2+8*x+8", "y^2=15*x^6+19*x^5+15*x^4+19*x^3+6*x^2+6*x+17", "y^2=5*x^6+19*x^5+20*x^3+13*x^2+19*x+19", "y^2=7*x^6+x^5+18*x^4+5*x^3+21*x^2+10*x+17", "y^2=19*x^6+2*x^5+3*x^4+2*x^3+13*x^2+19*x+13", "y^2=11*x^5+9*x^4+17*x^3+2*x^2+16*x+2", "y^2=3*x^6+8*x^5+21*x^4+19*x^3+13*x^2+4*x+7", "y^2=6*x^6+20*x^5+7*x^4+3*x^3+5*x^2+7*x+5", "y^2=8*x^6+15*x^5+11*x^4+7*x^3+3*x^2+x+1", "y^2=16*x^6+3*x^5+8*x^4+19*x^3+9*x^2+10*x+13", "y^2=x^6+15*x^5+3*x^4+8*x^3+6*x^2+10*x+8", "y^2=13*x^6+15*x^5+6*x^4+2*x^2+21*x+19", "y^2=16*x^6+6*x^5+9*x^4+4*x^3+22*x^2+13*x+22", "y^2=17*x^6+11*x^5+14*x^4+18*x^3+14*x^2+22*x+13", "y^2=12*x^6+21*x^5+15*x^4+19*x^3+21*x^2+16*x+18", "y^2=18*x^6+7*x^5+20*x^4+11*x^3+22*x^2+10*x+17", "y^2=18*x^6+14*x^5+7*x^4+x^3+19*x^2+18*x+12", "y^2=7*x^6+12*x^4+15*x^3+22*x^2+21*x", "y^2=12*x^6+15*x^5+14*x^4+7*x^3+x^2+16*x+4", "y^2=16*x^6+6*x^5+22*x^4+18*x^3+17*x^2+6*x+18", "y^2=3*x^5+15*x^4+17*x^3+14*x^2+10*x+2", "y^2=5*x^6+3*x^5+14*x^4+8*x+6", "y^2=12*x^6+11*x^5+x^4+20*x^3+11", "y^2=19*x^6+17*x^5+15*x^4+20*x^3+9*x^2+19*x+9", "y^2=2*x^6+10*x^5+11*x^4+8*x^3+11*x^2+10*x+5", "y^2=12*x^6+10*x^5+18*x^4+13*x^3+18*x^2+8*x+12", "y^2=18*x^6+14*x^5+5*x^4+2*x^3+13*x+9", "y^2=3*x^6+7*x^5+10*x^4+21*x^3+15*x^2+22*x+4", "y^2=11*x^6+3*x^5+20*x^4+5*x^3+2*x^2+16*x+1", "y^2=4*x^5+11*x^4+9*x^3+19*x^2+14*x+4", "y^2=8*x^6+13*x^4+13*x^3+x^2+8*x+17", "y^2=7*x^6+17*x^5+9*x^4+7*x^3+14*x^2+20*x+4", "y^2=13*x^6+3*x^5+22*x^4+5*x^3+5*x^2+6*x+3", "y^2=22*x^6+19*x^5+8*x^4+20*x^3+5*x^2+9*x+17", "y^2=14*x^5+18*x^4+9*x^3+5*x^2+19*x+5", "y^2=x^6+16*x^5+17*x^4+18*x^3+9*x^2+2*x+16", "y^2=9*x^5+9*x^4+2*x^3+13*x^2+9*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": 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": ["4.0.201024.4"], "geometric_splitting_field": "4.0.201024.4", "geometric_splitting_polynomials": [[97, 14, 32, -2, 1]], "group_structure_count": 3, "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 42, "is_geometrically_simple": true, "is_geometrically_squarefree": true, "is_primitive": true, "is_simple": true, "is_squarefree": true, "is_supersingular": false, "jacobian_count": 42, "label": "2.23.e_bm", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 2, "newton_coelevation": 2, "newton_elevation": 0, "number_fields": ["4.0.201024.4"], "p": 23, "p_rank": 2, "p_rank_deficit": 0, "poly": [1, 4, 38, 92, 529], "poly_str": "1 4 38 92 529 ", "primitive_models": [], "q": 23, "real_poly": [1, 4, -8], "simple_distinct": ["2.23.e_bm"], "simple_factors": ["2.23.e_bmA"], "simple_multiplicities": [1], "singular_primes": ["2,-9*F-4*V-21"], "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "4.0.201024.4", "splitting_polynomials": [[97, 14, 32, -2, 1]], "twist_count": 2, "twists": [["2.23.ae_bm", "2.529.ci_cpy", 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": 5584, "zfv_singular_count": 2, "zfv_singular_primes": ["2,-9*F-4*V-21"]}