# Stored data for abelian variety isogeny class 2.113.aw_jj, downloaded from the LMFDB on 15 October 2025.
{"abvar_count": 10505, "abvar_counts": [10505, 163048105, 2078970090560, 26576356046887625, 339451161216780990025, 4334523569468829095265280, 55347521144813493218244626345, 706732537308827213452563280159625, 9024267953661293980039209472315119680, 115230877649842901900224016702703483498025], "abvar_counts_str": "10505 163048105 2078970090560 26576356046887625 339451161216780990025 4334523569468829095265280 55347521144813493218244626345 706732537308827213452563280159625 9024267953661293980039209472315119680 115230877649842901900224016702703483498025 ", "angle_corank": 0, "angle_rank": 2, "angles": [0.024364936661044, 0.48799016089863], "center_dim": 4, "cohen_macaulay_max": 1, "curve_count": 92, "curve_counts": [92, 12772, 1440830, 162997764, 18424049052, 2081951978014, 235260529675676, 26584441350870276, 3004041934153767710, 339456738999908584932], "curve_counts_str": "92 12772 1440830 162997764 18424049052 2081951978014 235260529675676 26584441350870276 3004041934153767710 339456738999908584932 ", "curves": ["y^2=56*x^6+58*x^5+5*x^4+52*x^3+73*x^2+111*x+3", "y^2=50*x^6+111*x^5+x^4+37*x^3+89*x^2+23*x+49", "y^2=86*x^6+19*x^5+57*x^4+73*x^3+82*x^2+45*x+68", "y^2=78*x^6+110*x^5+91*x^4+61*x^3+98*x^2+32*x+47", "y^2=57*x^6+92*x^5+98*x^4+2*x^3+9*x^2+81*x+29", "y^2=7*x^6+78*x^5+78*x^4+85*x^3+25*x^2+50*x+80", "y^2=31*x^6+75*x^5+73*x^4+19*x^3+61*x^2+76*x+58", "y^2=92*x^6+35*x^5+58*x^4+11*x^3+68*x^2+43*x+56", "y^2=45*x^6+50*x^5+94*x^4+80*x^3+79*x^2+43*x+58", "y^2=95*x^6+108*x^5+46*x^4+85*x^3+93*x^2+93*x+60", "y^2=12*x^6+76*x^5+72*x^4+26*x^3+76*x^2+99*x+80", "y^2=55*x^6+63*x^5+101*x^4+112*x^3+38*x^2+59*x+21", "y^2=63*x^6+99*x^5+83*x^4+17*x^3+11*x^2+101*x+57", "y^2=62*x^6+53*x^5+65*x^4+15*x^2+2*x+18", "y^2=65*x^6+90*x^5+47*x^4+104*x^3+16*x^2+16*x+102", "y^2=4*x^6+84*x^5+111*x^4+4*x^3+60*x^2+54*x+28", "y^2=83*x^6+41*x^5+30*x^4+3*x^3+94*x^2+45*x+74", "y^2=5*x^6+27*x^5+80*x^4+39*x^3+112*x^2+3*x+108", "y^2=74*x^6+109*x^5+19*x^4+8*x^3+76*x^2+x+107", "y^2=9*x^6+28*x^4+78*x^3+45*x^2+100*x+16", "y^2=103*x^6+110*x^5+58*x^4+53*x^3+53*x^2+25*x+43", "y^2=93*x^6+x^5+43*x^4+96*x^3+24*x^2+111*x+43", "y^2=66*x^6+46*x^5+53*x^4+52*x^3+49*x^2+7*x+12", "y^2=30*x^6+77*x^5+83*x^4+2*x^3+105*x^2+30*x+78", "y^2=33*x^6+50*x^5+31*x^4+17*x^3+4*x^2+70*x+38", "y^2=46*x^6+27*x^5+30*x^4+21*x^3+10*x^2+23*x+110", "y^2=5*x^6+44*x^5+21*x^4+24*x^3+2*x^2+98*x+37", "y^2=82*x^6+90*x^5+45*x^4+34*x^3+107*x^2+34*x+79", "y^2=2*x^6+39*x^5+48*x^4+74*x^3+33*x^2+46*x+36", "y^2=40*x^6+80*x^5+26*x^4+75*x^3+46*x^2+40*x+65", "y^2=53*x^6+63*x^5+49*x^4+85*x^3+53*x^2+14*x+26", "y^2=92*x^6+88*x^5+85*x^4+69*x^3+17*x^2+65*x+107", "y^2=50*x^6+22*x^5+17*x^4+39*x^3+75*x^2+27*x+78", "y^2=74*x^6+38*x^5+7*x^4+3*x^3+16*x^2+29*x+30", "y^2=22*x^6+83*x^5+41*x^4+27*x^3+100*x^2+38*x+39", "y^2=29*x^6+106*x^5+47*x^4+102*x^3+109*x^2+53*x+45", "y^2=47*x^6+50*x^5+108*x^4+19*x^3+x^2+109*x+76", "y^2=22*x^6+9*x^5+3*x^4+84*x^3+55*x^2+82*x+63", "y^2=51*x^6+44*x^5+85*x^4+32*x^3+44*x^2+77*x+57", "y^2=35*x^6+25*x^5+38*x^4+53*x^3+86*x^2+71*x+81", "y^2=99*x^6+28*x^5+43*x^4+78*x^3+101*x^2+94*x+49", "y^2=2*x^6+107*x^5+30*x^4+102*x^3+21*x^2+91*x+72"], "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": 2, "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": ["4.0.12903488.1"], "geometric_splitting_field": "4.0.12903488.1", "geometric_splitting_polynomials": [[407, 282, 57, -2, 1]], "group_structure_count": 1, "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": "2.113.aw_jj", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 2, "newton_coelevation": 2, "newton_elevation": 0, "number_fields": ["4.0.12903488.1"], "p": 113, "p_rank": 2, "p_rank_deficit": 0, "poly": [1, -22, 243, -2486, 12769], "poly_str": "1 -22 243 -2486 12769 ", "primitive_models": [], "q": 113, "real_poly": [1, -22, 17], "simple_distinct": ["2.113.aw_jj"], "simple_factors": ["2.113.aw_jjA"], "simple_multiplicities": [1], "singular_primes": ["2,F^2-3*F-3"], "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "4.0.12903488.1", "splitting_polynomials": [[407, 282, 57, -2, 1]], "twist_count": 2, "twists": [["2.113.w_jj", "2.12769.c_abkrt", 2]], "weak_equivalence_count": 2, "zfv_index": 4, "zfv_index_factorization": [[2, 2]], "zfv_is_bass": true, "zfv_is_maximal": false, "zfv_plus_index": 2, "zfv_plus_index_factorization": [[2, 1]], "zfv_plus_norm": 1193, "zfv_singular_count": 2, "zfv_singular_primes": ["2,F^2-3*F-3"]}