# Stored data for abelian variety isogeny class 2.79.j_gg, downloaded from the LMFDB on 19 August 2026.
{"abvar_count": 7124, "abvar_counts": [7124, 40492816, 242343120656, 1516828655078464, 9468524528202775724, 59091510322366274212096, 368790149099671303755809084, 2301619102385866663400517613824, 14364404997891533907000707009845136, 89648252049935957346144731641191663376], "abvar_counts_str": "7124 40492816 242343120656 1516828655078464 9468524528202775724 59091510322366274212096 368790149099671303755809084 2301619102385866663400517613824 14364404997891533907000707009845136 89648252049935957346144731641191663376 ", "all_polarized_product": false, "all_unpolarized_product": false, "angle_corank": 0, "angle_rank": 2, "angles": [0.508396734935254, 0.659331957311668], "center_dim": 4, "cohen_macaulay_max": 1, "curve_count": 89, "curve_counts": [89, 6485, 491528, 38942889, 3077137139, 243087452606, 19203910483301, 1517108784390769, 119851595467904792, 9468276090346558925], "curve_counts_str": "89 6485 491528 38942889 3077137139 243087452606 19203910483301 1517108784390769 119851595467904792 9468276090346558925 ", "curves": ["y^2=47*x^6+43*x^5+60*x^4+7*x^3+59*x^2+22*x+43", "y^2=51*x^6+25*x^5+67*x^4+23*x^3+51*x^2+66*x+70", "y^2=76*x^6+12*x^5+2*x^4+78*x^3+53*x^2+71*x+28", "y^2=11*x^6+59*x^5+68*x^4+73*x^3+12*x^2+16*x+46", "y^2=43*x^6+3*x^5+77*x^4+13*x^3+65*x^2+54*x+1", "y^2=20*x^6+40*x^5+69*x^4+25*x^3+74*x^2+39*x+40", "y^2=71*x^6+41*x^5+52*x^4+46*x^3+15*x^2+78*x+51", "y^2=42*x^6+40*x^5+34*x^4+48*x^3+64*x^2+55*x+32", "y^2=57*x^6+63*x^5+30*x^4+2*x^3+41*x^2+36*x", "y^2=42*x^6+27*x^5+11*x^4+47*x^3+6*x^2+31*x+78", "y^2=14*x^6+5*x^5+8*x^4+74*x^3+73*x^2+58*x+38", "y^2=15*x^6+68*x^5+42*x^4+44*x^3+57*x^2+47*x+11", "y^2=4*x^6+20*x^5+4*x^4+70*x^3+59*x^2+15*x+10", "y^2=20*x^6+75*x^5+43*x^4+67*x^3+66*x^2+21*x+8", "y^2=2*x^6+22*x^5+58*x^4+8*x^3+47*x^2+63*x+48", "y^2=58*x^6+48*x^5+40*x^4+53*x^3+32*x^2+11*x+4", "y^2=49*x^6+66*x^4+33*x^3+33*x^2+25*x+22", "y^2=51*x^6+57*x^5+16*x^4+4*x^3+58*x^2+39*x+21", "y^2=5*x^6+4*x^5+54*x^4+9*x^3+78*x^2+24*x+61", "y^2=74*x^6+41*x^5+25*x^4+31*x^3+23*x^2+12*x+50", "y^2=70*x^6+47*x^5+27*x^4+3*x^3+2*x^2+48*x+66", "y^2=48*x^6+30*x^5+23*x^4+59*x^3+17*x^2+35*x+13", "y^2=56*x^6+45*x^5+75*x^4+17*x^3+53*x^2+42*x+78", "y^2=46*x^6+45*x^5+70*x^4+28*x^3+61*x^2+13*x+19", "y^2=26*x^6+49*x^5+56*x^4+51*x^3+73*x^2+53*x+19", "y^2=72*x^6+64*x^5+34*x^4+59*x^3+74*x^2+6*x+54", "y^2=67*x^6+57*x^5+66*x^4+47*x^3+70*x^2+49*x+29", "y^2=50*x^6+45*x^5+47*x^4+52*x^3+16*x^2+33*x+25", "y^2=28*x^6+59*x^4+30*x^3+75*x^2+24*x+59", "y^2=29*x^6+45*x^5+25*x^4+34*x^3+68*x^2+77*x+39", "y^2=23*x^6+61*x^5+25*x^4+8*x^3+61*x^2+14*x+19", "y^2=18*x^6+51*x^5+64*x^4+3*x^3+x^2+53*x+60", "y^2=36*x^6+76*x^5+6*x^4+35*x^3+45*x^2+38*x+44", "y^2=63*x^6+22*x^5+38*x^4+11*x^3+54*x^2+45*x+30", "y^2=3*x^6+10*x^5+7*x^4+19*x^3+8*x^2+58*x+54", "y^2=16*x^6+57*x^5+16*x^4+28*x^3+48*x^2+13*x+32", "y^2=78*x^6+29*x^5+60*x^4+68*x^3+14*x^2+24*x+13", "y^2=46*x^6+2*x^5+38*x^4+7*x^3+54*x^2+62*x+36", "y^2=62*x^6+75*x^5+60*x^4+19*x^3+9*x^2+76*x+39", "y^2=29*x^6+63*x^5+32*x^4+29*x^3+37*x^2+17*x", "y^2=36*x^6+26*x^5+15*x^4+51*x^3+39*x^2+66*x+1", "y^2=64*x^6+78*x^5+17*x^4+52*x^3+67*x^2+28*x+60", "y^2=16*x^6+67*x^5+61*x^4+31*x^3+55*x^2+13*x+67", "y^2=65*x^6+34*x^5+13*x^4+7*x^3+70*x^2+78*x+18", "y^2=76*x^6+8*x^5+59*x^4+34*x^3+37*x^2+70*x+51", "y^2=11*x^6+18*x^5+16*x^4+68*x^3+51*x^2+46*x+75", "y^2=17*x^5+65*x^4+78*x^3+24*x^2+17*x+24", "y^2=63*x^6+62*x^5+29*x^4+2*x^3+55*x^2+73*x+4", "y^2=54*x^6+55*x^5+9*x^4+41*x^3+78*x^2+9*x+2", "y^2=59*x^6+78*x^5+63*x^4+69*x^3+6*x^2+64*x+38", "y^2=3*x^6+78*x^5+45*x^4+37*x^3+30*x^2+69*x+11", "y^2=55*x^6+20*x^5+11*x^4+42*x^3+64*x^2+43*x+12", "y^2=38*x^6+56*x^5+77*x^4+46*x^3+33*x^2+61*x+53", "y^2=63*x^6+68*x^4+63*x^3+26*x^2+56*x+68", "y^2=65*x^6+17*x^5+17*x^3+57*x^2+71*x+31", "y^2=9*x^6+45*x^5+65*x^4+4*x^3+29*x^2+10*x+77", "y^2=29*x^6+64*x^5+25*x^4+55*x^3+11*x^2+16*x+33", "y^2=50*x^6+32*x^5+67*x^4+53*x^3+32*x^2+70*x+37", "y^2=37*x^5+70*x^4+39*x^3+6*x^2+x+8", "y^2=45*x^6+59*x^5+68*x^4+61*x^3+38*x^2+78*x+20", "y^2=4*x^6+8*x^5+42*x^4+16*x^3+6*x^2+62*x+4", "y^2=54*x^6+44*x^5+4*x^4+78*x^3+56*x^2+64*x+62", "y^2=19*x^6+51*x^5+59*x^4+33*x^3+66*x^2+67*x+70", "y^2=73*x^6+48*x^5+70*x^4+45*x^3+23*x^2+56*x+31", "y^2=23*x^6+69*x^5+51*x^4+36*x^3+30*x^2+31*x+36", "y^2=46*x^6+43*x^5+25*x^4+66*x^3+15*x^2+24*x+29", "y^2=29*x^6+21*x^5+x^4+45*x^3+10*x^2+28*x+33", "y^2=50*x^6+52*x^4+35*x^3+13*x^2+30*x", "y^2=61*x^6+39*x^5+21*x^4+47*x^3+56*x^2+51*x+1", "y^2=19*x^6+57*x^5+55*x^4+76*x^3+53*x^2+72*x+16", "y^2=4*x^6+47*x^5+33*x^4+32*x^3+64*x^2+69*x+73", "y^2=21*x^6+35*x^5+9*x^4+18*x^3+78*x^2+43*x+24", "y^2=66*x^6+15*x^5+11*x^4+x^3+58*x^2+48*x+10", "y^2=57*x^6+63*x^5+11*x^4+39*x^3+78*x^2+33*x+60", "y^2=71*x^6+54*x^5+37*x^4+70*x^3+19*x^2+25*x+49", "y^2=51*x^6+43*x^5+71*x^4+45*x^3+19*x^2+63*x+66", "y^2=76*x^6+70*x^5+21*x^4+28*x^3+75*x^2+22*x+35", "y^2=75*x^6+57*x^5+25*x^4+66*x^3+2*x^2+2*x+59", "y^2=55*x^6+26*x^5+35*x^4+45*x^3+62*x^2+16*x+77", "y^2=16*x^6+35*x^5+46*x^4+68*x^3+50*x^2+55*x+28", "y^2=77*x^6+34*x^5+47*x^4+71*x^3+76*x^2+43*x+63", "y^2=39*x^6+30*x^4+61*x^3+13*x^2+48*x+68", "y^2=9*x^6+30*x^5+40*x^4+61*x^3+61*x^2+44*x+8", "y^2=71*x^6+36*x^5+55*x^4+48*x^3+42*x^2+77*x+52", "y^2=4*x^6+20*x^5+50*x^4+11*x^3+42*x^2+61*x+45", "y^2=57*x^6+9*x^5+65*x^4+66*x^3+19*x^2+62*x+46", "y^2=77*x^6+48*x^5+8*x^4+69*x^3+75*x^2+68*x+21", "y^2=58*x^6+11*x^5+58*x^4+35*x^3+31*x^2+20*x+54", "y^2=66*x^6+14*x^5+72*x^4+27*x^3+22*x^2+42*x+7", "y^2=24*x^6+59*x^5+27*x^4+16*x^3+3*x^2+17*x+53", "y^2=16*x^6+20*x^5+35*x^4+18*x^3+x^2+19*x+30", "y^2=76*x^6+15*x^5+9*x^4+29*x^3+14*x^2+34", "y^2=14*x^6+7*x^5+38*x^4+32*x^3+68*x^2+16*x+76", "y^2=45*x^6+43*x^5+6*x^4+78*x^3+13*x^2+53*x+56", "y^2=28*x^6+68*x^5+27*x^4+77*x^3+16*x^2+64*x+2", "y^2=42*x^6+66*x^5+12*x^4+61*x^3+66*x^2+3*x+25", "y^2=68*x^6+57*x^5+46*x^4+49*x^3+77*x^2+62*x+20", "y^2=58*x^6+13*x^5+35*x^4+51*x^3+57*x^2+37*x+32", "y^2=59*x^6+39*x^5+44*x^4+44*x^3+70*x^2+17*x+28", "y^2=x^6+5*x^5+14*x^4+57*x^3+17*x^2+57*x+41", "y^2=69*x^6+42*x^5+27*x^4+45*x^3+33*x^2+27*x+77", "y^2=55*x^6+33*x^5+17*x^4+43*x^3+3*x^2+43*x+44", "y^2=x^6+9*x^5+53*x^4+38*x^3+37*x^2+64*x+67", "y^2=37*x^6+47*x^5+19*x^4+40*x^3+69*x^2+3*x+20", "y^2=25*x^6+33*x^5+69*x^4+53*x^3+74*x^2+15*x+73", "y^2=15*x^6+49*x^5+74*x^4+50*x^3+57*x^2+60*x+63", "y^2=39*x^6+72*x^5+49*x^4+78*x^3+74*x^2+71*x+1", "y^2=47*x^6+48*x^5+5*x^4+70*x^3+26*x^2+42*x+1", "y^2=51*x^6+59*x^5+24*x^4+16*x^3+76*x^2+7*x+35", "y^2=23*x^6+18*x^5+38*x^4+37*x^3+73*x^2+36*x+47", "y^2=7*x^6+58*x^5+11*x^4+73*x^3+3*x^2+47*x+69", "y^2=39*x^6+11*x^5+71*x^4+7*x^3+65*x^2+78*x+57"], "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": ["4.0.81124225.1"], "geometric_splitting_field": "4.0.81124225.1", "geometric_splitting_polynomials": [[5411, -139, 132, -1, 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": "2.79.j_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": ["4.0.81124225.1"], "p": 79, "p_rank": 2, "p_rank_deficit": 0, "pic_prime_gens": [[1, 2, 1, 2], [1, 7, 1, 84], [1, 7, 3, 4]], "poly": [1, 9, 162, 711, 6241], "poly_str": "1 9 162 711 6241 ", "primitive_models": [], "principal_polarization_count": 112, "q": 79, "real_poly": [1, 9, 4], "simple_distinct": ["2.79.j_gg"], "simple_factors": ["2.79.j_ggA"], "simple_multiplicities": [1], "singular_primes": ["2,-6*F-3*V-27"], "size": 224, "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "4.0.81124225.1", "splitting_polynomials": [[5411, -139, 132, -1, 1]], "twist_count": 2, "twists": [["2.79.aj_gg", "2.6241.jj_bmjg", 2]], "weak_equivalence_count": 2, "zfv_index": 2, "zfv_index_factorization": [[2, 1]], "zfv_is_bass": true, "zfv_is_maximal": false, "zfv_pic_size": 168, "zfv_plus_index": 1, "zfv_plus_index_factorization": [], "zfv_plus_norm": 76804, "zfv_singular_count": 2, "zfv_singular_primes": ["2,-6*F-3*V-27"]}