# Stored data for abelian variety isogeny class 2.79.q_io, downloaded from the LMFDB on 14 January 2026.
{"abvar_count": 7744, "abvar_counts": [7744, 40144896, 241725622336, 1517392925097984, 9468769458122818624, 59091059192757595508736, 368790162664608279568519744, 2301619337127339541828771774464, 14364404914825650293442094697820736, 89648251971677790649106195924088754176], "abvar_counts_str": "7744 40144896 241725622336 1517392925097984 9468769458122818624 59091059192757595508736 368790162664608279568519744 2301619337127339541828771774464 14364404914825650293442094697820736 89648251971677790649106195924088754176 ", "angle_corank": 1, "angle_rank": 1, "angles": [0.648588554585722, 0.648588554585722], "center_dim": 2, "curve_count": 96, "curve_counts": [96, 6430, 490272, 38957374, 3077216736, 243085596766, 19203911189664, 1517108939120254, 119851594774831968, 9468276082081256350], "curve_counts_str": "96 6430 490272 38957374 3077216736 243085596766 19203911189664 1517108939120254 119851594774831968 9468276082081256350 ", "curves": ["y^2=17*x^6+13*x^5+56*x^4+12*x^2+x+12", "y^2=56*x^6+52*x^5+63*x^4+63*x^3+63*x^2+52*x+56", "y^2=17*x^6+69*x^5+13*x^4+61*x^3+26*x^2+39*x+57", "y^2=3*x^6+3*x^3+66", "y^2=51*x^6+51*x^5+58*x^4+4*x^3+58*x^2+51*x+51", "y^2=35*x^6+37*x^5+75*x^4+19*x^3+75*x^2+37*x+35", "y^2=21*x^6+7*x^5+64*x^4+45*x^3+64*x^2+7*x+21", "y^2=71*x^6+12*x^5+19*x^4+8*x^3+13*x^2+24*x+14", "y^2=53*x^6+63*x^5+54*x^4+51*x^3+29*x^2+15*x+29", "y^2=51*x^6+77*x^5+65*x^4+71*x^3+55*x^2+57*x+25", "y^2=27*x^6+69*x^5+35*x^4+6*x^3+35*x^2+69*x+27", "y^2=23*x^6+16*x^5+2*x^4+4*x^3+72*x^2+26*x+29", "y^2=5*x^6+31*x^4+38*x^3+31*x^2+5", "y^2=64*x^6+60*x^5+46*x^4+56*x^3+45*x^2+28*x+67", "y^2=69*x^5+70*x^4+66*x^3+11*x^2+58*x+42", "y^2=73*x^6+42*x^5+31*x^4+48*x^3+6*x^2+x+8", "y^2=75*x^6+76*x^5+59*x^4+32*x^3+68*x^2+19*x+39", "y^2=53*x^6+71*x^5+14*x^4+9*x^3+14*x^2+71*x+53", "y^2=5*x^6+31*x^5+74*x^4+51*x^3+77*x^2+65*x+73", "y^2=8*x^6+32*x^5+40*x^4+73*x^3+16*x^2+62*x+22", "y^2=42*x^6+45*x^5+20*x^4+54*x^3+20*x^2+45*x+42", "y^2=65*x^6+49*x^5+36*x^4+73*x^3+36*x^2+49*x+65", "y^2=20*x^6+64*x^5+55*x^4+42*x^3+55*x^2+64*x+20", "y^2=27*x^6+16*x^5+33*x^4+5*x^3+33*x^2+16*x+27", "y^2=31*x^6+28*x^5+24*x^4+47*x^3+24*x^2+28*x+31", "y^2=26*x^6+58*x^5+20*x^4+46*x^3+20*x^2+58*x+26", "y^2=33*x^6+2*x^5+65*x^4+44*x^3+32*x^2+4*x+41", "y^2=46*x^6+56*x^5+36*x^4+62*x^3+36*x^2+56*x+46", "y^2=3*x^6+33*x^3+43", "y^2=2*x^6+56*x^5+77*x^4+6*x^3+71*x^2+27*x+49", "y^2=3*x^6+68*x^3+54", "y^2=59*x^6+45*x^4+45*x^2+59", "y^2=47*x^6+76*x^4+62*x^3+76*x^2+47", "y^2=54*x^6+35*x^5+75*x^4+59*x^3+75*x^2+35*x+54", "y^2=5*x^6+62*x^4+62*x^2+5", "y^2=16*x^6+60*x^5+39*x^4+26*x^3+39*x^2+60*x+16", "y^2=39*x^6+14*x^5+75*x^4+27*x^3+75*x^2+14*x+39", "y^2=35*x^6+53*x^5+56*x^4+9*x^3+56*x^2+53*x+35", "y^2=13*x^6+45*x^5+14*x^4+16*x^3+27*x^2+63*x+28", "y^2=3*x^6+29*x^3+59", "y^2=23*x^6+42*x^5+55*x^4+50*x^3+55*x^2+42*x+23", "y^2=39*x^6+35*x^5+42*x^4+76*x^3+65*x^2+39*x+60", "y^2=33*x^6+54*x^5+59*x^4+4*x^3+41*x^2+48*x+61", "y^2=22*x^6+33*x^5+52*x^4+45*x^3+45*x^2+22*x+24", "y^2=72*x^6+37*x^5+37*x^4+50*x^3+x^2+32*x+9", "y^2=54*x^6+6*x^5+38*x^4+75*x^3+62*x^2+50*x+8", "y^2=19*x^6+22*x^5+12*x^4+33*x^3+12*x^2+22*x+19", "y^2=22*x^6+23*x^5+28*x^4+64*x^3+28*x^2+23*x+22", "y^2=3*x^6+39*x^3+34", "y^2=44*x^6+19*x^5+45*x^4+29*x^3+62*x^2+64*x+45", "y^2=46*x^6+43*x^5+20*x^4+8*x^3+52*x^2+60*x+64", "y^2=76*x^6+73*x^5+40*x^4+22*x^3+33*x^2+67*x+13", "y^2=9*x^6+62*x^5+34*x^4+61*x^3+60*x^2+31*x+78", "y^2=30*x^6+73*x^5+62*x^4+36*x^3+36*x^2+51*x+66", "y^2=3*x^6+17*x^3+28", "y^2=11*x^6+19*x^5+73*x^4+61*x^3+70*x^2+26*x+56", "y^2=77*x^6+48*x^5+58*x^4+73*x^3+35*x^2+28*x+59", "y^2=53*x^6+17*x^5+73*x^4+64*x^3+73*x^2+17*x+53", "y^2=2*x^6+25*x^5+6*x^4+53*x^3+40*x^2+17", "y^2=78*x^6+47*x^5+55*x^4+43*x^3+38*x^2+69*x+33", "y^2=9*x^6+44*x^5+38*x^4+54*x^2+20*x+13", "y^2=62*x^6+62*x^5+66*x^4+68*x^3+66*x^2+62*x+62", "y^2=4*x^6+78*x^5+66*x^4+59*x^3+14*x^2+54*x+26", "y^2=42*x^6+32*x^5+40*x^4+37*x^3+21*x^2+42*x+44", "y^2=2*x^6+74*x^5+13*x^4+55*x^3+39*x^2+67*x+21", "y^2=10*x^6+20*x^5+25*x^4+26*x^3+25*x^2+20*x+10", "y^2=45*x^6+14*x^5+4*x^4+20*x^3+6*x^2+31*x+3", "y^2=65*x^6+35*x^5+68*x^4+62*x^3+68*x^2+35*x+65", "y^2=53*x^6+11*x^5+4*x^4+76*x^3+37*x^2+60*x+11", "y^2=16*x^5+54*x^4+43*x^3+69*x^2+31*x", "y^2=64*x^6+3*x^5+70*x^4+73*x^3+28*x^2+70*x+18", "y^2=26*x^6+26*x^5+5*x^4+62*x^3+45*x^2+52*x+73", "y^2=23*x^6+43*x^5+25*x^4+x^3+25*x^2+43*x+23", "y^2=51*x^6+69*x^4+69*x^2+51", "y^2=11*x^6+47*x^5+56*x^4+67*x^3+17*x^2+54*x+52", "y^2=11*x^6+45*x^5+6*x^4+19*x^3+6*x^2+45*x+11", "y^2=x^6+19*x^4+19*x^2+1", "y^2=15*x^6+56*x^5+74*x^4+27*x^3+58*x^2+43*x+78", "y^2=70*x^6+18*x^5+11*x^4+42*x^2+34*x+8", "y^2=20*x^6+66*x^4+66*x^2+20", "y^2=44*x^6+14*x^5+63*x^4+61*x^3+78*x^2+34*x+49", "y^2=11*x^6+64*x^5+10*x^4+35*x^3+57*x^2+5*x+64", "y^2=16*x^6+70*x^5+46*x^4+74*x^3+11*x^2+41*x+27", "y^2=5*x^6+56*x^5+41*x^4+8*x^3+41*x^2+56*x+5", "y^2=47*x^6+71*x^5+50*x^4+60*x^3+50*x^2+71*x+47", "y^2=41*x^6+62*x^5+73*x^4+24*x^3+73*x^2+62*x+41", "y^2=45*x^6+31*x^5+49*x^4+62*x^3+49*x^2+31*x+45", "y^2=41*x^6+4*x^5+29*x^4+75*x^3+29*x^2+4*x+41", "y^2=7*x^6+42*x^5+43*x^4+36*x^3+41*x^2+19*x+7", "y^2=40*x^5+10*x^4+41*x^3+10*x^2+40*x", "y^2=3*x^6+61*x^3+63", "y^2=23*x^6+23*x^5+18*x^4+49*x^3+50*x^2+38*x+9", "y^2=25*x^6+7*x^5+8*x^4+26*x^3+8*x^2+7*x+25", "y^2=50*x^6+43*x^5+42*x^4+21*x^3+23*x^2+15*x+19", "y^2=67*x^6+30*x^5+41*x^4+50*x^3+41*x^2+30*x+67", "y^2=7*x^6+45*x^5+7*x^4+62*x^3+12*x^2+21*x+53", "y^2=43*x^6+61*x^5+15*x^4+52*x^3+15*x^2+61*x+43", "y^2=13*x^6+56*x^5+8*x^4+7*x^3+8*x^2+56*x+13", "y^2=9*x^6+53*x^5+71*x^4+35*x^3+71*x^2+53*x+9", "y^2=41*x^6+76*x^5+14*x^4+70*x^3+18*x^2+28*x+21", "y^2=9*x^6+75*x^5+25*x^4+35*x^3+70*x^2+x+52", "y^2=51*x^6+30*x^5+72*x^4+73*x^3+11*x^2+44*x+13", "y^2=53*x^6+41*x^5+9*x^4+66*x^3+71*x^2+65*x+69", "y^2=55*x^6+52*x^5+51*x^4+22*x^3+20*x^2+20*x+51", "y^2=28*x^6+43*x^5+37*x^4+77*x^3+37*x^2+43*x+28", "y^2=19*x^6+71*x^4+71*x^2+19", "y^2=21*x^6+61*x^4+61*x^2+21", "y^2=16*x^6+52*x^5+64*x^4+74*x^3+64*x^2+52*x+16", "y^2=49*x^6+76*x^5+71*x^4+9*x^3+74*x^2+5*x+51", "y^2=65*x^6+23*x^5+38*x^4+21*x^3+16*x^2+45*x+38", "y^2=31*x^6+76*x^5+66*x^4+56*x^3+66*x^2+76*x+31", "y^2=3*x^6+14*x^3+24", "y^2=2*x^6+14*x^4+14*x^2+2", "y^2=56*x^6+60*x^4+60*x^2+56", "y^2=23*x^6+24*x^5+41*x^4+53*x^3+63*x^2+71*x+73", "y^2=55*x^5+29*x^4+32*x^3+29*x^2+55*x", "y^2=46*x^6+7*x^5+27*x^4+66*x^3+30*x^2+34*x+10", "y^2=55*x^6+78*x^5+67*x^4+x^3+67*x^2+78*x+55", "y^2=39*x^6+39*x^5+21*x^4+26*x^3+70*x^2+5*x+61", "y^2=73*x^6+6*x^5+16*x^4+64*x^3+16*x^2+6*x+73", "y^2=69*x^6+74*x^4+74*x^2+69", "y^2=8*x^6+13*x^5+62*x^4+18*x^3+24*x^2+56*x+20", "y^2=16*x^6+30*x^5+38*x^4+76*x^3+40*x^2+71*x+17"], "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": ["2.0.7.1"], "geometric_splitting_field": "2.0.7.1", "geometric_splitting_polynomials": [[2, -1, 1]], "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 123, "is_cyclic": false, "is_geometrically_simple": false, "is_geometrically_squarefree": false, "is_primitive": true, "is_simple": false, "is_squarefree": false, "is_supersingular": false, "jacobian_count": 123, "label": "2.79.q_io", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 6, "newton_coelevation": 2, "newton_elevation": 0, "noncyclic_primes": [2, 11], "number_fields": ["2.0.7.1"], "p": 79, "p_rank": 2, "p_rank_deficit": 0, "poly": [1, 16, 222, 1264, 6241], "poly_str": "1 16 222 1264 6241 ", "primitive_models": [], "q": 79, "real_poly": [1, 16, 64], "simple_distinct": ["1.79.i"], "simple_factors": ["1.79.iA", "1.79.iB"], "simple_multiplicities": [2], "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "2.0.7.1", "splitting_polynomials": [[2, -1, 1]], "twist_count": 6, "twists": [["2.79.aq_io", "2.6241.hg_bfny", 2], ["2.79.a_dq", "2.6241.hg_bfny", 2], ["2.79.ai_ap", "2.493039.aecm_gjcfm", 3], ["2.79.a_adq", "2.38950081.kum_hronpm", 4], ["2.79.i_ap", "2.243087455521.aebtqq_gmbwirlko", 6]]}