# Stored data for abelian variety isogeny class 2.23.ad_bc, downloaded from the LMFDB on 12 September 2026.
{"abvar_count": 486, "abvar_counts": [486, 306180, 148243608, 78492304800, 41466866711346, 21911229496860480, 11592124178634088722, 6132618628849668009600, 3244153203440214799189752, 1716155772691442668164324900], "abvar_counts_str": "486 306180 148243608 78492304800 41466866711346 21911229496860480 11592124178634088722 6132618628849668009600 3244153203440214799189752 1716155772691442668164324900 ", "angle_corank": 0, "angle_rank": 2, "angles": [0.28487738277385, 0.60125744937186], "center_dim": 4, "cohen_macaulay_max": 1, "curve_count": 21, "curve_counts": [21, 577, 12186, 280489, 6442611, 148012954, 3404616285, 78311090161, 1801153934838, 41426509798057], "curve_counts_str": "21 577 12186 280489 6442611 148012954 3404616285 78311090161 1801153934838 41426509798057 ", "curves": ["y^2=7*x^6+14*x^5+6*x^4+12*x^3+14*x^2+6*x+5", "y^2=5*x^6+6*x^5+16*x^4+15*x^3+13*x^2+19*x+13", "y^2=19*x^6+19*x^5+12*x^4+12*x^3+17*x^2+x+18", "y^2=15*x^6+20*x^5+7*x^4+15*x^3+x^2+19*x+9", "y^2=2*x^5+3*x^4+2*x^3+21*x^2+20", "y^2=x^6+15*x^4+15*x^3+3*x^2+21*x+22", "y^2=4*x^6+21*x^5+10*x^4+10*x^3+10*x^2+20*x+14", "y^2=8*x^6+12*x^5+9*x^4+10*x^2+17*x+12", "y^2=3*x^6+7*x^5+3*x^4+16*x^3+18*x^2+16*x+11", "y^2=3*x^6+4*x^5+17*x^4+17*x^3+17*x^2+21*x+4", "y^2=14*x^6+11*x^5+17*x^4+5*x^3+20*x^2+4*x+14", "y^2=9*x^6+12*x^5+3*x^4+9*x^3+21*x^2+16*x+7", "y^2=3*x^6+15*x^5+8*x^4+20*x^3+12*x+13", "y^2=13*x^6+15*x^5+2*x^4+11*x^3+7*x^2+20*x+16", "y^2=8*x^6+22*x^5+11*x^4+11*x^3+8*x^2+4*x+7", "y^2=16*x^6+22*x^5+4*x^4+22*x^3+15*x^2+8*x+20", "y^2=5*x^6+12*x^5+14*x^4+3*x^3+12*x+1", "y^2=7*x^6+5*x^5+15*x^4+22*x^3+18*x^2+8*x+16", "y^2=14*x^6+3*x^5+6*x^4+7*x^3+17*x^2+22*x+3", "y^2=12*x^6+2*x^5+20*x^4+19*x^3+22*x^2+4*x+1", "y^2=15*x^6+14*x^5+6*x^4+11*x^3+2*x^2+4*x+4", "y^2=20*x^6+4*x^5+7*x^4+6*x^3+7*x^2+4*x+5", "y^2=20*x^6+4*x^5+3*x^4+6*x^3+21*x^2+11*x+9", "y^2=x^6+17*x^5+12*x^4+11*x^3+4*x^2+5*x+7", "y^2=7*x^6+13*x^5+14*x^4+4*x^3+22*x^2+16*x+21", "y^2=22*x^6+6*x^5+6*x^4+x^3+12*x^2+x+5", "y^2=3*x^6+22*x^5+18*x^4+16*x^3+18*x^2+22*x+13", "y^2=7*x^6+21*x^5+3*x^4+11*x^3+2*x^2+22*x+8", "y^2=5*x^6+4*x^5+17*x^4+16*x^3+15*x^2+19*x+4", "y^2=4*x^6+15*x^5+10*x^4+18*x^3+14*x^2+11*x+14", "y^2=21*x^6+11*x^5+5*x^4+21*x^3+22*x^2+11*x+16", "y^2=10*x^6+15*x^5+18*x^4+16*x^3+6*x^2+18*x", "y^2=x^6+13*x^5+12*x^4+8*x^3+20*x^2+20*x+19", "y^2=15*x^6+x^5+12*x^4+17*x^3+19*x^2+10*x+9", "y^2=9*x^5+20*x^4+13*x^3+4*x^2+x+17", "y^2=17*x^6+2*x^5+13*x^3+x^2+20*x+9", "y^2=15*x^6+3*x^5+2*x^4+10*x^3+6*x^2+13*x+10", "y^2=5*x^6+15*x^5+22*x^4+x^3+8*x^2+18*x+6", "y^2=19*x^6+7*x^5+17*x^4+7*x^3+5*x^2+x", "y^2=22*x^6+8*x^5+13*x^4+12*x^3+13*x^2+16*x+5", "y^2=4*x^6+14*x^4+17*x^3+3*x^2+3*x+16", "y^2=8*x^6+16*x^5+17*x^4+7*x^3+7*x^2+9*x+15", "y^2=16*x^6+7*x^5+2*x^4+10*x^3+2*x^2+22*x", "y^2=17*x^6+16*x^5+9*x^4+12*x^3+18*x^2+7*x+11", "y^2=20*x^6+15*x^5+20*x^4+10*x^3+4*x^2+17*x+11", "y^2=7*x^6+14*x^5+14*x^4+15*x^3+22*x^2+22*x+7", "y^2=22*x^6+18*x^5+15*x^4+14*x^3+7*x^2+12*x+11", "y^2=18*x^6+9*x^5+4*x^4+6*x^3+x^2+x"], "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": 9, "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": ["2.0.56.1", "2.0.83.1"], "geometric_splitting_field": "4.0.21603904.2", "geometric_splitting_polynomials": [[63, -70, 71, -2, 1]], "group_structure_count": 3, "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 48, "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": 48, "label": "2.23.ad_bc", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 2, "newton_coelevation": 2, "newton_elevation": 0, "noncyclic_primes": [3], "number_fields": ["2.0.56.1", "2.0.83.1"], "p": 23, "p_rank": 2, "p_rank_deficit": 0, "poly": [1, -3, 28, -69, 529], "poly_str": "1 -3 28 -69 529 ", "primitive_models": [], "q": 23, "real_poly": [1, -3, -18], "simple_distinct": ["1.23.ag", "1.23.d"], "simple_factors": ["1.23.agA", "1.23.dA"], "simple_multiplicities": [1, 1], "singular_primes": ["3,F-14", "3,5*F-2"], "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "4.0.21603904.2", "splitting_polynomials": [[63, -70, 71, -2, 1]], "twist_count": 4, "twists": [["2.23.aj_cm", "2.529.bv_ccy", 2], ["2.23.d_bc", "2.529.bv_ccy", 2], ["2.23.j_cm", "2.529.bv_ccy", 2]], "weak_equivalence_count": 9, "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": 4648, "zfv_singular_count": 4, "zfv_singular_primes": ["3,F-14", "3,5*F-2"]}