# Stored data for abelian variety isogeny class 2.23.ae_by, downloaded from the LMFDB on 03 September 2025.
{"abvar_count": 484, "abvar_counts": [484, 327184, 151240804, 77916906496, 41369877891364, 21916825780968976, 11593627040634999844, 6132620008310580854784, 3244141730763081044595556, 1716155292382594568157047824], "abvar_counts_str": "484 327184 151240804 77916906496 41369877891364 21916825780968976 11593627040634999844 6132620008310580854784 3244141730763081044595556 1716155292382594568157047824 ", "angle_corank": 1, "angle_rank": 1, "angles": [0.433137181603982, 0.433137181603982], "center_dim": 2, "curve_count": 20, "curve_counts": [20, 614, 12428, 278430, 6427540, 148050758, 3405057676, 78311107774, 1801147565204, 41426498203814], "curve_counts_str": "20 614 12428 278430 6427540 148050758 3405057676 78311107774 1801147565204 41426498203814 ", "curves": ["y^2=17*x^6+2*x^5+11*x^4+14*x^3+10*x^2+18*x+22", "y^2=14*x^6+9*x^5+16*x^4+4*x^3+12*x^2+14*x+15", "y^2=18*x^6+6*x^5+7*x^4+4*x^3+2*x^2+20*x+8", "y^2=5*x^6+18*x^5+6*x^4+16*x^3+6*x^2+18*x+5", "y^2=7*x^6+19*x^4+19*x^2+7", "y^2=12*x^6+17*x^5+3*x^4+12*x^3+22*x^2+16*x+5", "y^2=15*x^6+15*x^5+16*x^4+13*x^3+5*x^2+5*x+15", "y^2=20*x^6+2*x^5+18*x^4+22*x^3+11*x^2+16*x+8"], "dim1_distinct": 1, "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, "g": 2, "galois_groups": ["2T1"], "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": 1, "geometric_galois_groups": ["2T1"], "geometric_number_fields": ["2.0.88.1"], "geometric_splitting_field": "2.0.88.1", "geometric_splitting_polynomials": [[22, 0, 1]], "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 8, "is_geometrically_simple": false, "is_geometrically_squarefree": false, "is_primitive": true, "is_simple": false, "is_squarefree": false, "is_supersingular": false, "jacobian_count": 8, "label": "2.23.ae_by", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 6, "newton_coelevation": 2, "newton_elevation": 0, "number_fields": ["2.0.88.1"], "p": 23, "p_rank": 2, "p_rank_deficit": 0, "poly": [1, -4, 50, -92, 529], "poly_str": "1 -4 50 -92 529 ", "primitive_models": [], "q": 23, "real_poly": [1, -4, 4], "simple_distinct": ["1.23.ac"], "simple_factors": ["1.23.acA", "1.23.acB"], "simple_multiplicities": [2], "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "2.0.88.1", "splitting_polynomials": [[22, 0, 1]], "twist_count": 6, "twists": [["2.23.a_bq", "2.529.dg_eeo", 2], ["2.23.e_by", "2.529.dg_eeo", 2], ["2.23.c_at", "2.12167.ka_cizy", 3], ["2.23.a_abq", "2.279841.acci_cifgw", 4], ["2.23.ac_at", "2.148035889.vzw_bdovoag", 6]]}