# Stored data for abelian variety isogeny class 2.23.a_ao, downloaded from the LMFDB on 24 November 2025.
{"abvar_count": 516, "abvar_counts": [516, 266256, 148055364, 78794735616, 41426498344836, 21920390809172496, 11592836330182043844, 6132581697353475686400, 3244150909893984987621636, 1716154765114699847567866896], "abvar_counts_str": "516 266256 148055364 78794735616 41426498344836 21920390809172496 11592836330182043844 6132581697353475686400 3244150909893984987621636 1716154765114699847567866896 ", "angle_corank": 1, "angle_rank": 1, "angles": [0.200780744796092, 0.799219255203909], "center_dim": 4, "cohen_macaulay_max": 1, "curve_count": 24, "curve_counts": [24, 502, 12168, 281566, 6436344, 148074838, 3404825448, 78310618558, 1801152661464, 41426485476022], "curve_counts_str": "24 502 12168 281566 6436344 148074838 3404825448 78310618558 1801152661464 41426485476022 ", "curves": ["y^2=3*x^6+12*x^5+18*x^4+8*x^3+18*x^2+22*x+8", "y^2=11*x^6+22*x^5+18*x^4+4*x^3+10*x^2+19*x+4", "y^2=15*x^6+9*x^5+4*x^4+3*x^3+19*x^2+8*x+15", "y^2=18*x^6+7*x^5+3*x^4+2*x^2+9*x+4", "y^2=21*x^6+12*x^5+15*x^4+10*x^2+22*x+20", "y^2=12*x^6+17*x^5+6*x^4+4*x^3+11*x^2+22*x+19", "y^2=10*x^6+11*x^4+12*x^3+2*x^2+18*x+5", "y^2=4*x^6+9*x^4+14*x^3+10*x^2+21*x+2", "y^2=7*x^6+11*x^5+7*x^4+14*x^3+5*x+6", "y^2=12*x^6+9*x^5+12*x^4+x^3+2*x+7", "y^2=16*x^6+9*x^5+16*x^3+5*x^2+x+11", "y^2=15*x^6+22*x^5+4*x^4+2*x^3+22*x^2+10*x+3", "y^2=8*x^6+22*x^4+10*x^3+9*x^2+10", "y^2=8*x^6+15*x^5+10*x^4+13*x^3+9*x^2+16*x+7", "y^2=17*x^6+6*x^5+4*x^4+19*x^3+22*x^2+11*x+12", "y^2=6*x^6+6*x^5+21*x^4+16*x^3+12*x^2+9*x+15", "y^2=12*x^6+12*x^5+7*x^4+5*x^3+14*x^2+20*x+17", "y^2=14*x^6+14*x^5+12*x^4+2*x^3+x^2+8*x+16", "y^2=11*x^6+13*x^5+22*x^4+6*x^3+12*x^2+2*x+16", "y^2=14*x^6+21*x^5+14*x^4+11*x^3+12*x^2+22*x+6", "y^2=14*x^6+5*x^5+21*x^4+17*x^3+20*x^2+11*x+19", "y^2=18*x^6+19*x^5+10*x^4+9*x^3+22*x^2+10*x+2", "y^2=20*x^6+16*x^5+8*x^4+15*x^3+7*x^2+18*x+1", "y^2=13*x^6+22*x^5+6*x^4+20*x^3+5*x^2+14*x+17", "y^2=3*x^6+19*x^5+9*x^4+4*x^3+4*x^2+x+20", "y^2=15*x^6+3*x^5+22*x^4+20*x^3+20*x^2+5*x+8", "y^2=19*x^6+12*x^5+7*x^4+12*x^3+18*x^2+13*x+18", "y^2=3*x^6+14*x^5+12*x^4+14*x^3+21*x^2+19*x+21", "y^2=3*x^6+12*x^5+9*x^4+7*x^3+21*x^2+4*x+10", "y^2=13*x^6+6*x^5+16*x^4+19*x^3+3*x^2+3*x+5", "y^2=19*x^6+7*x^5+11*x^4+3*x^3+15*x^2+15*x+2", "y^2=10*x^6+8*x^5+4*x^4+20*x^3+20*x^2+16*x+8", "y^2=20*x^6+8*x^5+2*x^4+16*x^3+3*x^2+7*x+4", "y^2=2*x^6+4*x^5+7*x^4+16*x^3+3*x^2+12*x+19", "y^2=11*x^6+22*x^5+21*x^4+3*x^3+3*x^2+15*x+6", "y^2=5*x^6+9*x^5+3*x^4+5*x^3+15*x^2+18*x+3", "y^2=2*x^6+22*x^5+15*x^4+2*x^3+6*x^2+21*x+15", "y^2=2*x^6+20*x^5+15*x^4+2*x^3+2*x^2+7*x+5", "y^2=20*x^5+10*x^4+8*x^3+9*x^2+7*x", "y^2=14*x^6+15*x^5+4*x^4+2*x^3+11*x^2+20*x+13", "y^2=x^6+19*x^5+5*x^4+x^3+3*x+14", "y^2=5*x^6+3*x^5+2*x^4+5*x^3+15*x+1", "y^2=16*x^6+19*x^5+19*x^4+5*x^3+9*x^2+11*x+21", "y^2=11*x^6+3*x^5+3*x^4+2*x^3+22*x^2+9*x+13", "y^2=2*x^6+12*x^5+18*x^4+16*x^3+13*x^2+19*x+10", "y^2=10*x^6+14*x^5+21*x^4+11*x^3+19*x^2+3*x+4", "y^2=21*x^6+11*x^5+5*x^4+5*x^3+20*x^2+3*x+5", "y^2=4*x^6+17*x^5+13*x^4+9*x^3+19*x^2+11*x+17"], "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": 6, "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": ["2.0.120.1"], "geometric_splitting_field": "2.0.120.1", "geometric_splitting_polynomials": [[30, 0, 1]], "group_structure_count": 2, "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 48, "is_geometrically_simple": false, "is_geometrically_squarefree": false, "is_primitive": true, "is_simple": true, "is_squarefree": true, "is_supersingular": false, "jacobian_count": 48, "label": "2.23.a_ao", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 8, "newton_coelevation": 2, "newton_elevation": 0, "number_fields": ["4.0.57600.2"], "p": 23, "p_rank": 2, "p_rank_deficit": 0, "poly": [1, 0, -14, 0, 529], "poly_str": "1 0 -14 0 529 ", "primitive_models": [], "q": 23, "real_poly": [1, 0, -60], "simple_distinct": ["2.23.a_ao"], "simple_factors": ["2.23.a_aoA"], "simple_multiplicities": [1], "singular_primes": ["2,2*F^2-F+1"], "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "4.0.57600.2", "splitting_polynomials": [[49, 0, 16, 0, 1]], "twist_count": 4, "twists": [["2.23.a_o", "2.279841.coi_cwdcw", 4], ["2.23.ai_bg", "2.78310985281.auwmu_xrvxveio", 8], ["2.23.i_bg", "2.78310985281.auwmu_xrvxveio", 8]], "weak_equivalence_count": 6, "zfv_index": 32, "zfv_index_factorization": [[2, 5]], "zfv_is_bass": true, "zfv_is_maximal": false, "zfv_plus_index": 2, "zfv_plus_index_factorization": [[2, 1]], "zfv_plus_norm": 1024, "zfv_singular_count": 2, "zfv_singular_primes": ["2,2*F^2-F+1"]}