# Stored data for abelian variety isogeny class 2.83.ae_gg, downloaded from the LMFDB on 16 December 2025.
{"abvar_count": 6716, "abvar_counts": [6716, 49617808, 327446753372, 2251336985298944, 15515671221171606076, 106890353434247615137936, 736365444348302924539218908, 5072820215392443464610887794688, 34946658996293313718700521914638396, 240747534123327262342921580969227942288], "abvar_counts_str": "6716 49617808 327446753372 2251336985298944 15515671221171606076 106890353434247615137936 736365444348302924539218908 5072820215392443464610887794688 34946658996293313718700521914638396 240747534123327262342921580969227942288 ", "angle_corank": 0, "angle_rank": 2, "angles": [0.414629900148242, 0.514477218666885], "center_dim": 4, "cohen_macaulay_max": 1, "curve_count": 80, "curve_counts": [80, 7198, 572672, 47438190, 3938946720, 326941430734, 27136057661072, 2252292195038430, 186940255036451312, 15516041187222535038], "curve_counts_str": "80 7198 572672 47438190 3938946720 326941430734 27136057661072 2252292195038430 186940255036451312 15516041187222535038 ", "curves": ["y^2=x^6+59*x^5+82*x^4+68*x^3+63*x^2+65*x+59", "y^2=49*x^6+26*x^5+72*x^4+11*x^3+43*x^2+14*x+58", "y^2=26*x^6+17*x^5+x^4+10*x^3+47*x^2+36*x+59", "y^2=20*x^6+62*x^5+51*x^4+46*x^3+45*x^2+7*x+68", "y^2=60*x^6+10*x^5+68*x^4+73*x^3+43*x^2+54*x+46", "y^2=46*x^6+42*x^5+60*x^4+67*x^3+78*x^2+13*x+40", "y^2=47*x^6+12*x^5+20*x^4+49*x^3+44*x^2+6*x+79", "y^2=22*x^6+17*x^5+9*x^4+39*x^3+49*x^2+12*x+6", "y^2=33*x^6+6*x^5+34*x^4+19*x^3+71*x^2+25*x+1", "y^2=80*x^6+59*x^5+26*x^4+13*x^3+57*x^2+31*x+48", "y^2=74*x^6+70*x^5+70*x^4+82*x^3+79*x^2+12*x+67", "y^2=44*x^6+43*x^5+13*x^4+65*x^3+15*x^2+3*x+28", "y^2=27*x^6+82*x^5+47*x^4+3*x^3+61*x^2+14*x+37", "y^2=60*x^6+61*x^5+41*x^4+24*x^3+28*x^2+62*x+23", "y^2=54*x^6+39*x^5+33*x^4+81*x^3+34*x^2+49*x+53", "y^2=56*x^6+80*x^5+44*x^4+61*x^3+41*x^2+6*x+21", "y^2=7*x^6+39*x^5+54*x^4+81*x^3+69*x^2+7*x+2", "y^2=45*x^6+50*x^5+46*x^4+45*x^3+30*x^2+23*x+13", "y^2=46*x^6+64*x^5+29*x^4+3*x^3+24*x^2+44*x+21", "y^2=38*x^6+70*x^5+26*x^4+73*x^3+79*x^2+30*x+54", "y^2=38*x^6+27*x^5+52*x^4+23*x^3+52*x^2+34*x+15", "y^2=45*x^6+79*x^5+82*x^4+67*x^3+39*x^2+49*x+10", "y^2=64*x^6+7*x^5+27*x^4+42*x^3+6*x^2+63*x+73", "y^2=65*x^5+54*x^4+19*x^3+6*x^2+46", "y^2=52*x^6+44*x^5+7*x^4+10*x^3+69*x^2+25*x+69", "y^2=70*x^6+52*x^5+40*x^4+8*x^3+65*x^2+49*x+68", "y^2=33*x^6+81*x^5+43*x^4+23*x^3+61*x^2+8*x+64", "y^2=71*x^6+75*x^5+24*x^4+74*x^3+34*x^2+19*x+36", "y^2=54*x^6+4*x^5+72*x^4+79*x^3+65*x^2+64*x+15", "y^2=56*x^6+14*x^5+68*x^4+61*x^3+19*x^2+43*x+12", "y^2=77*x^6+12*x^5+5*x^4+29*x^3+71*x^2+6*x+5", "y^2=65*x^6+48*x^5+76*x^4+26*x^3+3*x^2+48*x+52", "y^2=44*x^6+68*x^5+13*x^4+20*x^3+35*x^2+67*x+55", "y^2=3*x^6+34*x^5+56*x^4+80*x^3+8*x^2+37*x+6", "y^2=78*x^6+30*x^5+30*x^4+61*x^3+61*x^2+67*x+60", "y^2=4*x^6+32*x^5+62*x^4+75*x^3+53*x^2+38*x+52", "y^2=67*x^6+16*x^5+x^4+18*x^3+42*x^2+70*x+34", "y^2=55*x^6+50*x^5+44*x^4+50*x^3+13*x^2+54*x+27", "y^2=74*x^6+26*x^5+52*x^4+6*x^3+66*x^2+34*x+72", "y^2=5*x^6+50*x^5+16*x^4+79*x^3+11*x^2+65*x+10", "y^2=32*x^6+53*x^5+2*x^4+63*x^3+60*x^2+30*x+75", "y^2=11*x^6+65*x^5+26*x^4+70*x^3+38*x^2+44*x+6", "y^2=56*x^6+58*x^5+21*x^4+15*x^3+28*x^2+36*x+71", "y^2=35*x^6+71*x^5+50*x^4+37*x^3+21*x^2+51*x+34", "y^2=64*x^6+17*x^5+13*x^4+59*x^3+42*x^2+18*x+45", "y^2=77*x^6+10*x^5+3*x^4+44*x^3+36*x^2+x+45", "y^2=15*x^6+18*x^5+47*x^4+79*x^3+43*x^2+25*x+31", "y^2=8*x^6+24*x^5+45*x^4+26*x^3+24*x^2+77*x+58", "y^2=78*x^6+58*x^5+21*x^4+81*x^3+80*x^2+39*x+75", "y^2=45*x^6+63*x^5+82*x^4+16*x^3+73*x^2+19*x+19", "y^2=x^6+29*x^5+10*x^4+76*x^3+64*x^2+31*x+74", "y^2=43*x^6+75*x^5+55*x^4+19*x^3+6*x^2+22*x+36", "y^2=78*x^6+51*x^5+42*x^4+34*x^3+37*x^2+22*x+10", "y^2=50*x^6+74*x^5+19*x^4+73*x^3+74*x^2+52*x+77", "y^2=58*x^6+17*x^5+54*x^4+75*x^3+x^2+16*x+15", "y^2=47*x^6+3*x^5+38*x^4+31*x^3+38*x^2+66*x+57", "y^2=26*x^6+77*x^5+24*x^4+55*x^3+64*x^2+76*x+43", "y^2=60*x^6+53*x^5+36*x^4+72*x^3+25*x^2+30*x+8", "y^2=x^6+57*x^5+65*x^4+27*x^3+4*x^2+40*x+73", "y^2=59*x^6+49*x^5+22*x^4+24*x^3+56*x^2+39*x+4", "y^2=28*x^6+40*x^5+36*x^4+25*x^3+25*x^2+13*x+42", "y^2=72*x^6+31*x^5+69*x^4+69*x^3+77*x^2+68", "y^2=52*x^6+61*x^5+27*x^4+62*x^3+56*x^2+49*x+14", "y^2=51*x^6+15*x^5+55*x^4+8*x^3+27*x^2+71*x+73", "y^2=44*x^6+28*x^5+72*x^4+55*x^3+26*x^2+7*x+17", "y^2=54*x^6+65*x^5+13*x^4+73*x^3+81*x^2+43*x+38", "y^2=10*x^6+36*x^5+65*x^4+79*x^3+13*x^2+50*x+77", "y^2=82*x^6+22*x^5+73*x^4+58*x^3+2*x^2+73*x+49", "y^2=65*x^6+36*x^5+16*x^4+40*x^3+24*x^2+13*x+41", "y^2=29*x^6+79*x^5+30*x^4+63*x^3+6*x^2+8*x+78", "y^2=22*x^6+19*x^5+20*x^4+32*x^3+71*x^2+19*x+1", "y^2=3*x^6+27*x^5+58*x^4+11*x^3+48*x^2+x+64", "y^2=19*x^6+7*x^5+78*x^4+x^3+6*x^2+57*x+42", "y^2=24*x^6+58*x^5+25*x^4+25*x^3+72*x^2+61*x+23", "y^2=11*x^6+65*x^5+19*x^4+82*x^3+7*x^2+23*x+33", "y^2=38*x^6+81*x^5+2*x^4+59*x^3+63*x^2+31", "y^2=65*x^6+20*x^5+27*x^4+45*x^3+35*x^2+10*x+82", "y^2=26*x^6+50*x^5+57*x^4+18*x^3+8*x^2+62*x+80", "y^2=24*x^6+76*x^5+67*x^4+44*x^2+71*x+82", "y^2=19*x^6+24*x^5+43*x^4+3*x^3+17*x^2+4*x+69", "y^2=32*x^6+29*x^5+76*x^4+23*x^3+54*x^2+22*x+35", "y^2=36*x^6+13*x^5+39*x^4+51*x^3+35*x^2+26*x+13", "y^2=71*x^6+24*x^5+76*x^4+65*x^3+5*x^2+51*x+76", "y^2=57*x^6+75*x^5+34*x^4+18*x^3+75*x^2+4*x+68", "y^2=9*x^6+71*x^5+51*x^4+10*x^3+56*x^2+81", "y^2=74*x^6+12*x^5+3*x^4+5*x^3+6*x^2+50*x+29", "y^2=17*x^6+22*x^5+26*x^4+60*x^3+33*x^2+19*x+53", "y^2=24*x^6+38*x^5+19*x^4+16*x^3+10*x^2+71*x+27", "y^2=21*x^6+45*x^5+11*x^4+33*x^3+58*x^2+25*x+72", "y^2=53*x^6+35*x^5+49*x^4+81*x^3+45*x^2+25*x+44", "y^2=69*x^6+45*x^5+28*x^4+20*x^3+27*x^2+24*x+33", "y^2=16*x^6+56*x^5+70*x^4+15*x^3+53*x^2+55*x+66", "y^2=70*x^6+58*x^5+38*x^4+40*x^3+46*x^2+40*x+19", "y^2=56*x^6+44*x^5+11*x^4+44*x^3+20*x^2+38*x+10", "y^2=20*x^5+80*x^4+8*x^3+61*x^2+42*x+68", "y^2=33*x^6+38*x^5+47*x^4+63*x^3+44*x^2+75*x+73", "y^2=42*x^6+48*x^5+14*x^4+25*x^3+55*x^2+53*x+17", "y^2=4*x^6+70*x^5+79*x^4+25*x^3+17*x^2+66*x+23", "y^2=79*x^6+31*x^5+74*x^4+45*x^3+35*x^2+31*x+25", "y^2=78*x^6+49*x^5+52*x^4+77*x^3+47*x^2+45*x+33", "y^2=8*x^6+65*x^5+59*x^4+17*x^3+x^2+77*x+8", "y^2=x^6+70*x^5+35*x^4+36*x^3+3*x^2+74*x+51", "y^2=17*x^6+54*x^5+75*x^4+3*x^3+22*x^2+67*x+57", "y^2=36*x^6+14*x^5+63*x^4+52*x^3+48*x^2+57*x+74", "y^2=47*x^6+46*x^5+19*x^4+44*x^3+15*x^2+64*x+56", "y^2=38*x^6+75*x^5+24*x^4+62*x^3+71*x^2+53*x+68", "y^2=33*x^6+7*x^5+11*x^4+65*x^3+23*x^2+76*x+48", "y^2=9*x^6+39*x^5+72*x^4+34*x^3+57*x^2+50*x+51", "y^2=46*x^6+54*x^5+79*x^4+9*x^3+25*x^2+76*x+8", "y^2=66*x^6+39*x^5+57*x^4+25*x^3+60*x^2+66*x+18", "y^2=71*x^6+23*x^5+35*x^4+46*x^3+68*x^2+42*x+43", "y^2=43*x^6+x^5+x^4+72*x^3+20*x^2+12*x+1"], "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": 4, "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": ["4.0.1636352.1"], "geometric_splitting_field": "4.0.1636352.1", "geometric_splitting_polynomials": [[1598, 0, 80, 0, 1]], "group_structure_count": 2, "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 112, "is_cyclic": false, "is_geometrically_simple": true, "is_geometrically_squarefree": true, "is_primitive": true, "is_simple": true, "is_squarefree": true, "is_supersingular": false, "jacobian_count": 112, "label": "2.83.ae_gg", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 2, "newton_coelevation": 2, "newton_elevation": 0, "noncyclic_primes": [2], "number_fields": ["4.0.1636352.1"], "p": 83, "p_rank": 2, "p_rank_deficit": 0, "poly": [1, -4, 162, -332, 6889], "poly_str": "1 -4 162 -332 6889 ", "primitive_models": [], "q": 83, "real_poly": [1, -4, -4], "simple_distinct": ["2.83.ae_gg"], "simple_factors": ["2.83.ae_ggA"], "simple_multiplicities": [1], "singular_primes": ["2,3*F+2*V-7"], "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "4.0.1636352.1", "splitting_polynomials": [[1598, 0, 80, 0, 1]], "twist_count": 2, "twists": [["2.83.e_gg", "2.6889.lw_cdhe", 2]], "weak_equivalence_count": 4, "zfv_index": 8, "zfv_index_factorization": [[2, 3]], "zfv_is_bass": true, "zfv_is_maximal": false, "zfv_plus_index": 2, "zfv_plus_index_factorization": [[2, 1]], "zfv_plus_norm": 102272, "zfv_singular_count": 2, "zfv_singular_primes": ["2,3*F+2*V-7"]}