# Stored data for abelian variety isogeny class 2.23.a_bj, downloaded from the LMFDB on 12 March 2026.
{"abvar_count": 565, "abvar_counts": [565, 319225, 148023220, 78218105625, 41426499303325, 21910873659168400, 11592836326095311005, 6132693706588016555625, 3244150909898841228278260, 1716154844528386710356055625], "abvar_counts_str": "565 319225 148023220 78218105625 41426499303325 21910873659168400 11592836326095311005 6132693706588016555625 3244150909898841228278260 1716154844528386710356055625 ", "angle_corank": 1, "angle_rank": 1, "angles": [0.387613658108918, 0.612386341891082], "center_dim": 4, "cohen_macaulay_max": 1, "curve_count": 24, "curve_counts": [24, 600, 12168, 279508, 6436344, 148010550, 3404825448, 78312048868, 1801152661464, 41426487393000], "curve_counts_str": "24 600 12168 279508 6436344 148010550 3404825448 78312048868 1801152661464 41426487393000 ", "curves": ["y^2=20*x^6+2*x^5+21*x^4+11*x^2+9*x+21", "y^2=8*x^6+10*x^5+13*x^4+9*x^2+22*x+13", "y^2=9*x^6+2*x^5+17*x^4+13*x^3+15*x^2+2*x+21", "y^2=22*x^6+10*x^5+16*x^4+19*x^3+6*x^2+10*x+13", "y^2=6*x^6+17*x^5+13*x^4+18*x^3+2*x^2+12*x+18", "y^2=7*x^6+16*x^5+19*x^4+21*x^3+10*x^2+14*x+21", "y^2=3*x^6+11*x^5+13*x^4+x^3+14*x^2+3*x+21", "y^2=15*x^6+9*x^5+19*x^4+5*x^3+x^2+15*x+13", "y^2=7*x^6+15*x^5+7*x^3+3*x^2+20*x+3", "y^2=12*x^6+6*x^5+12*x^3+15*x^2+8*x+15", "y^2=12*x^6+20*x^5+21*x^4+8*x^3+x^2+16*x+8", "y^2=19*x^6+5*x^5+17*x^4+13*x^3+12*x^2+16*x+14", "y^2=3*x^6+2*x^5+16*x^4+19*x^3+14*x^2+11*x+1", "y^2=16*x^6+2*x^5+22*x^4+15*x^3+12*x^2+11*x+15", "y^2=11*x^6+10*x^5+18*x^4+6*x^3+14*x^2+9*x+6", "y^2=15*x^6+6*x^5+13*x^4+10*x^3+7*x^2+15*x+9", "y^2=6*x^6+7*x^5+19*x^4+4*x^3+12*x^2+6*x+22", "y^2=17*x^6+3*x^5+21*x^4+19*x^3+14*x^2+3*x+6", "y^2=16*x^6+15*x^5+13*x^4+3*x^3+x^2+15*x+7", "y^2=2*x^6+21*x^5+10*x^4+14*x^3+10*x^2+x+2", "y^2=10*x^6+13*x^5+4*x^4+x^3+4*x^2+5*x+10", "y^2=4*x^6+5*x^5+22*x^4+11*x^2+20*x+21", "y^2=20*x^6+2*x^5+18*x^4+9*x^2+8*x+13", "y^2=16*x^6+6*x^5+13*x^4+8*x^3+x^2+5*x+10", "y^2=11*x^6+7*x^5+19*x^4+17*x^3+5*x^2+2*x+4", "y^2=14*x^6+14*x^5+12*x^4+16*x^3+16*x^2+3*x+7", "y^2=x^6+x^5+14*x^4+11*x^3+11*x^2+15*x+12", "y^2=20*x^6+22*x^5+4*x^4+12*x^3+22", "y^2=8*x^6+18*x^5+20*x^4+14*x^3+18", "y^2=18*x^6+7*x^5+10*x^4+20*x^3+17*x^2+6*x+21", "y^2=4*x^6+3*x^5+x^4+7*x^3+19*x^2+8*x+22", "y^2=20*x^6+15*x^5+5*x^4+12*x^3+3*x^2+17*x+18", "y^2=11*x^6+16*x^5+17*x^4+x^3+19*x^2+x+11", "y^2=9*x^6+11*x^5+16*x^4+5*x^3+3*x^2+5*x+9", "y^2=10*x^6+16*x^5+13*x^4+3*x^3+10*x^2+12*x+18", "y^2=7*x^6+15*x^5+18*x^4+20*x^3+3*x^2+14*x+7"], "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": 3, "g": 2, "galois_groups": ["4T2"], "geom_dim1_distinct": 1, "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": 2, "geometric_extension_degree": 2, "geometric_galois_groups": ["2T1"], "geometric_number_fields": ["2.0.11.1"], "geometric_splitting_field": "2.0.11.1", "geometric_splitting_polynomials": [[3, -1, 1]], "group_structure_count": 1, "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 36, "is_cyclic": true, "is_geometrically_simple": false, "is_geometrically_squarefree": false, "is_primitive": true, "is_simple": true, "is_squarefree": true, "is_supersingular": false, "jacobian_count": 36, "label": "2.23.a_bj", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 12, "newton_coelevation": 2, "newton_elevation": 0, "noncyclic_primes": [], "number_fields": ["4.0.1936.1"], "p": 23, "p_rank": 2, "p_rank_deficit": 0, "poly": [1, 0, 35, 0, 529], "poly_str": "1 0 35 0 529 ", "primitive_models": [], "q": 23, "real_poly": [1, 0, -11], "simple_distinct": ["2.23.a_bj"], "simple_factors": ["2.23.a_bjA"], "simple_multiplicities": [1], "singular_primes": ["3,4*F^2+F-V+1"], "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "4.0.1936.1", "splitting_polynomials": [[9, 0, -5, 0, 1]], "twist_count": 6, "twists": [["2.23.as_ex", "2.279841.amw_bhlex", 4], ["2.23.a_abj", "2.279841.amw_bhlex", 4], ["2.23.s_ex", "2.279841.amw_bhlex", 4], ["2.23.aj_cg", "2.21914624432020321.wvfqlg_qyqdmltqjnny", 12], ["2.23.j_cg", "2.21914624432020321.wvfqlg_qyqdmltqjnny", 12]], "weak_equivalence_count": 3, "zfv_index": 81, "zfv_index_factorization": [[3, 4]], "zfv_is_bass": true, "zfv_is_maximal": false, "zfv_plus_index": 1, "zfv_plus_index_factorization": [], "zfv_plus_norm": 6561, "zfv_singular_count": 2, "zfv_singular_primes": ["3,4*F^2+F-V+1"]}