# Stored data for abelian variety isogeny class 2.79.ag_gl, downloaded from the LMFDB on 08 September 2025.
{"abvar_count": 5929, "abvar_counts": [5929, 40844881, 243763388176, 1516351870571769, 9467764116595864849, 59091762978963633377536, 368790432485778026667503329, 2301619090853105459481057104169, 14364404893777469407221240362313616, 89648251962319971002359283447002332001], "abvar_counts_str": "5929 40844881 243763388176 1516351870571769 9467764116595864849 59091762978963633377536 368790432485778026667503329 2301619090853105459481057104169 14364404893777469407221240362313616 89648251962319971002359283447002332001 ", "angle_corank": 1, "angle_rank": 1, "angles": [0.44602268990318, 0.44602268990318], "center_dim": 2, "curve_count": 74, "curve_counts": [74, 6540, 494408, 38930644, 3076890014, 243088491966, 19203925239986, 1517108776788964, 119851594599213272, 9468276081092922300], "curve_counts_str": "74 6540 494408 38930644 3076890014 243088491966 19203925239986 1517108776788964 119851594599213272 9468276081092922300 ", "curves": ["y^2=43*x^6+64*x^5+70*x^4+22*x^3+8*x^2+58*x+14", "y^2=4*x^6+56*x^5+41*x^3+56*x+4", "y^2=73*x^6+63*x^5+76*x^4+60*x^3+76*x^2+63*x+73", "y^2=53*x^6+24*x^5+17*x^4+59*x^3+17*x^2+24*x+53", "y^2=78*x^6+39*x^5+14*x^4+47*x^3+57*x^2+68*x+43", "y^2=5*x^6+11*x^5+27*x^4+60*x^3+27*x^2+11*x+5", "y^2=38*x^6+50*x^5+65*x^4+52*x^3+12*x^2+34*x+57", "y^2=37*x^6+71*x^5+71*x^4+61*x^3+71*x^2+71*x+37", "y^2=57*x^6+18*x^5+74*x^4+78*x^3+51*x^2+61*x+68", "y^2=58*x^6+18*x^5+8*x^4+41*x^3+66*x^2+48*x+59", "y^2=55*x^6+64*x^5+41*x^4+61*x^3+23*x^2+66*x+54", "y^2=65*x^6+41*x^5+43*x^4+35*x^3+49*x^2+66*x+9", "y^2=61*x^6+52*x^5+39*x^4+56*x^3+73*x^2+63*x+46", "y^2=x^6+70*x^5+43*x^4+3*x^3+15*x^2+21*x+36", "y^2=23*x^6+38*x^5+21*x^4+65*x^3+60*x^2+75*x+8", "y^2=54*x^6+52*x^5+42*x^4+41*x^3+41*x^2+64*x+32", "y^2=12*x^6+20*x^5+3*x^4+34*x^3+9*x^2+51*x+23", "y^2=15*x^6+65*x^5+24*x^4+2*x^3+30*x^2+77*x+32", "y^2=37*x^6+36*x^5+33*x^4+11*x^3+33*x^2+36*x+37", "y^2=48*x^6+59*x^5+73*x^4+18*x^3+73*x^2+59*x+48", "y^2=20*x^6+59*x^5+56*x^4+56*x^3+56*x^2+59*x+20", "y^2=35*x^6+6*x^5+24*x^4+40*x^3+77*x^2+65*x+9", "y^2=35*x^6+28*x^5+44*x^4+11*x^3+44*x^2+28*x+35", "y^2=43*x^6+41*x^5+9*x^4+20*x^3+34*x^2+48*x+20", "y^2=2*x^6+62*x^5+47*x^4+35*x^3+15*x^2+69*x+4", "y^2=62*x^6+43*x^5+22*x^4+53*x^3+60*x^2+61*x+72", "y^2=56*x^6+45*x^5+70*x^4+24*x^3+24*x^2+54*x+30", "y^2=61*x^6+x^5+17*x^4+14*x^3+14*x^2+61*x+6", "y^2=55*x^6+x^5+26*x^4+43*x^3+39*x^2+11*x+72", "y^2=14*x^6+8*x^5+44*x^4+36*x^3+x^2+60*x+15", "y^2=x^6+38*x^5+34*x^4+52*x^3+14*x^2+13*x+44", "y^2=72*x^6+66*x^5+71*x^4+13*x^3+75*x^2+73*x+72", "y^2=23*x^6+52*x^5+39*x^4+51*x^3+41*x^2+57*x+63", "y^2=75*x^6+46*x^5+75*x^4+37*x^3+75*x^2+46*x+75", "y^2=14*x^6+59*x^5+69*x^4+63*x^3+31*x^2+37*x+20", "y^2=11*x^6+5*x^5+55*x^4+47*x^3+30*x^2+25*x+74", "y^2=66*x^6+40*x^5+2*x^4+28*x^3+46*x^2+22*x+61", "y^2=38*x^6+47*x^5+52*x^4+77*x^3+60*x^2+46*x+43", "y^2=34*x^6+10*x^5+27*x^4+52*x^3+26*x^2+41*x+23", "y^2=59*x^6+76*x^5+63*x^4+69*x^3+12*x^2+13*x+61", "y^2=77*x^6+62*x^5+38*x^4+38*x^2+62*x+77", "y^2=22*x^6+61*x^5+13*x^4+28*x^3+13*x^2+61*x+22"], "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": ["2.0.307.1"], "geometric_splitting_field": "2.0.307.1", "geometric_splitting_polynomials": [[77, -1, 1]], "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 42, "is_geometrically_simple": false, "is_geometrically_squarefree": false, "is_primitive": true, "is_simple": false, "is_squarefree": false, "is_supersingular": false, "jacobian_count": 42, "label": "2.79.ag_gl", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 6, "newton_coelevation": 2, "newton_elevation": 0, "number_fields": ["2.0.307.1"], "p": 79, "p_rank": 2, "p_rank_deficit": 0, "poly": [1, -6, 167, -474, 6241], "poly_str": "1 -6 167 -474 6241 ", "primitive_models": [], "q": 79, "real_poly": [1, -6, 9], "simple_distinct": ["1.79.ad"], "simple_factors": ["1.79.adA", "1.79.adB"], "simple_multiplicities": [2], "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "2.0.307.1", "splitting_polynomials": [[77, -1, 1]], "twist_count": 6, "twists": [["2.79.a_ft", "2.6241.lm_bzhz", 2], ["2.79.g_gl", "2.6241.lm_bzhz", 2], ["2.79.d_acs", "2.493039.caq_desuo", 3], ["2.79.a_aft", "2.38950081.abctq_onendb", 4], ["2.79.ad_acs", "2.243087455521.cgzfg_dpzeakpfy", 6]]}