# Stored data for abelian variety isogeny class 2.113.abg_rq, downloaded from the LMFDB on 09 October 2025.
{"abvar_count": 9580, "abvar_counts": [9580, 161672080, 2082457644460, 26583804783232000, 339451797782414761900, 4334514480094817432955280, 55347518811591507960929389420, 706732554573782697655301842944000, 9024267976247248716778384438557676780, 115230877659444214454968320514190115072400], "abvar_counts_str": "9580 161672080 2082457644460 26583804783232000 339451797782414761900 4334514480094817432955280 55347518811591507960929389420 706732554573782697655301842944000 9024267976247248716778384438557676780 115230877659444214454968320514190115072400 ", "angle_corank": 0, "angle_rank": 2, "angles": [0.0587677112590147, 0.325130826323788], "center_dim": 4, "cohen_macaulay_max": 1, "curve_count": 82, "curve_counts": [82, 12662, 1443250, 163043454, 18424083602, 2081947612214, 235260519758066, 26584442000308606, 3004041941672289490, 339456739028192932982], "curve_counts_str": "82 12662 1443250 163043454 18424083602 2081947612214 235260519758066 26584442000308606 3004041941672289490 339456739028192932982 ", "curves": ["y^2=59*x^6+58*x^5+38*x^4+110*x^3+71*x^2+55*x+12", "y^2=20*x^6+95*x^5+9*x^4+92*x^3+90*x^2+41*x+13", "y^2=54*x^6+29*x^5+41*x^4+40*x^3+10*x^2+58*x+92", "y^2=80*x^6+107*x^5+62*x^4+17*x^3+6*x^2+93*x+42", "y^2=75*x^6+83*x^5+94*x^4+33*x^3+103*x^2+50*x+95", "y^2=26*x^6+47*x^5+77*x^4+10*x^3+4*x^2+7*x+3", "y^2=94*x^6+34*x^5+68*x^4+72*x^3+26*x^2+34*x+16", "y^2=96*x^6+79*x^5+7*x^4+3*x^3+27*x^2+36*x+94", "y^2=58*x^6+13*x^5+67*x^4+25*x^3+60*x^2+35*x+108", "y^2=3*x^6+21*x^5+22*x^4+65*x^3+44*x^2+73*x+50", "y^2=24*x^6+104*x^5+75*x^4+26*x^3+92*x^2+101*x+34", "y^2=53*x^6+8*x^5+30*x^4+60*x^3+70*x^2+111*x+61", "y^2=80*x^6+32*x^5+42*x^4+51*x^3+47*x^2+64*x+58", "y^2=67*x^6+90*x^5+75*x^4+80*x^3+108*x^2+58*x+68", "y^2=40*x^6+9*x^5+109*x^4+12*x^3+13*x^2+28*x+34", "y^2=36*x^6+65*x^5+29*x^4+22*x^3+51*x^2+55*x+9", "y^2=95*x^6+9*x^5+37*x^4+75*x^3+108*x^2+89*x+112", "y^2=57*x^6+6*x^5+73*x^4+10*x^3+35*x^2+36*x+55", "y^2=56*x^6+30*x^5+31*x^4+66*x^3+80*x^2+87*x+105", "y^2=60*x^6+101*x^5+86*x^4+45*x^3+67*x^2+61*x+29", "y^2=46*x^6+53*x^5+24*x^4+15*x^3+110*x^2+71*x+1", "y^2=60*x^6+32*x^5+82*x^4+26*x^3+22*x^2+59*x+17", "y^2=97*x^6+7*x^5+43*x^4+41*x^3+18*x^2+56*x+94", "y^2=4*x^6+14*x^5+5*x^4+29*x^3+22*x^2+73*x+58", "y^2=65*x^6+43*x^5+44*x^4+31*x^3+67*x^2+7*x+42", "y^2=48*x^6+58*x^5+65*x^4+89*x^3+28*x^2+45", "y^2=51*x^6+107*x^5+66*x^4+86*x^3+102*x^2+34*x+86", "y^2=73*x^6+x^5+102*x^4+32*x^3+19*x^2+20*x+65", "y^2=96*x^6+58*x^5+19*x^4+28*x^3+39*x^2+108*x+99", "y^2=74*x^6+61*x^5+111*x^4+86*x^3+50*x^2+73*x+90", "y^2=41*x^6+104*x^5+15*x^4+48*x^3+110*x^2+19*x+101", "y^2=71*x^6+28*x^5+52*x^4+44*x^3+108*x^2+24*x+108", "y^2=3*x^6+91*x^5+52*x^4+18*x^3+36*x^2+81*x+92", "y^2=81*x^6+33*x^5+56*x^4+55*x^3+3*x^2+22*x+62", "y^2=70*x^6+104*x^5+56*x^4+9*x^3+7*x^2+82*x+58", "y^2=8*x^6+67*x^5+83*x^4+107*x^3+82*x^2+9*x+60", "y^2=74*x^6+44*x^5+84*x^4+58*x^3+16*x^2+10*x+42", "y^2=68*x^6+107*x^5+40*x^4+14*x^3+72*x^2+49*x+102", "y^2=17*x^6+83*x^5+48*x^4+45*x^3+109*x^2+61*x+23", "y^2=90*x^6+68*x^5+94*x^4+7*x^3+111*x^2+56*x+99", "y^2=8*x^6+95*x^5+84*x^4+29*x^3+77*x^2+99*x+25", "y^2=34*x^6+35*x^5+12*x^4+65*x^3+17*x^2+4*x+78", "y^2=45*x^6+77*x^5+109*x^4+8*x^3+7*x^2+33*x+89", "y^2=85*x^6+51*x^5+91*x^4+2*x^3+7*x^2+56*x+94"], "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": 5, "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": ["4.0.180288.2"], "geometric_splitting_field": "4.0.180288.2", "geometric_splitting_polynomials": [[25, -22, 23, -2, 1]], "group_structure_count": 2, "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 44, "is_geometrically_simple": true, "is_geometrically_squarefree": true, "is_primitive": true, "is_simple": true, "is_squarefree": true, "is_supersingular": false, "jacobian_count": 44, "label": "2.113.abg_rq", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 2, "newton_coelevation": 2, "newton_elevation": 0, "number_fields": ["4.0.180288.2"], "p": 113, "p_rank": 2, "p_rank_deficit": 0, "poly": [1, -32, 458, -3616, 12769], "poly_str": "1 -32 458 -3616 12769 ", "primitive_models": [], "q": 113, "real_poly": [1, -32, 232], "simple_distinct": ["2.113.abg_rq"], "simple_factors": ["2.113.abg_rqA"], "simple_multiplicities": [1], "singular_primes": ["2,F^2-F-2"], "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "4.0.180288.2", "splitting_polynomials": [[25, -22, 23, -2, 1]], "twist_count": 2, "twists": [["2.113.bg_rq", "2.12769.aee_fte", 2]], "weak_equivalence_count": 5, "zfv_index": 16, "zfv_index_factorization": [[2, 4]], "zfv_is_bass": true, "zfv_is_maximal": false, "zfv_plus_index": 2, "zfv_plus_index_factorization": [[2, 1]], "zfv_plus_norm": 5008, "zfv_singular_count": 2, "zfv_singular_primes": ["2,F^2-F-2"]}