# Stored data for abelian variety isogeny class 2.79.a_ga, downloaded from the LMFDB on 14 January 2026.
{"abvar_count": 6398, "abvar_counts": [6398, 40934404, 243088331150, 1516185599779984, 9468276086930328878, 59091936741292060322500, 368790120348695298943834718, 2301618951102036825587308990464, 14364405059580771615079171331232350, 89648252058336700732230734837240738884], "abvar_counts_str": "6398 40934404 243088331150 1516185599779984 9468276086930328878 59091936741292060322500 368790120348695298943834718 2301618951102036825587308990464 14364405059580771615079171331232350 89648252058336700732230734837240738884 ", "angle_corank": 1, "angle_rank": 1, "angles": [0.474649836353861, 0.525350163646139], "center_dim": 4, "cohen_macaulay_max": 1, "curve_count": 80, "curve_counts": [80, 6554, 493040, 38926374, 3077056400, 243089206778, 19203908986160, 1517108684672254, 119851595982618320, 9468276091233810554], "curve_counts_str": "80 6554 493040 38926374 3077056400 243089206778 19203908986160 1517108684672254 119851595982618320 9468276091233810554 ", "curves": ["y^2=77*x^6+15*x^5+54*x^4+4*x^2+23*x+25", "y^2=29*x^6+38*x^5+72*x^4+24*x^3+34*x^2+32*x+9", "y^2=8*x^6+35*x^5+58*x^4+72*x^3+23*x^2+17*x+27", "y^2=58*x^6+41*x^5+58*x^4+77*x^3+68*x^2+40*x+9", "y^2=16*x^6+44*x^5+16*x^4+73*x^3+46*x^2+41*x+27", "y^2=28*x^6+51*x^5+51*x^4+22*x^3+73*x^2+75*x+57", "y^2=5*x^6+74*x^5+74*x^4+66*x^3+61*x^2+67*x+13", "y^2=45*x^6+29*x^5+65*x^4+43*x^3+28*x^2+60*x+56", "y^2=56*x^6+8*x^5+37*x^4+50*x^3+5*x^2+22*x+10", "y^2=26*x^6+42*x^5+62*x^4+18*x^3+33*x^2+7*x+34", "y^2=78*x^6+47*x^5+28*x^4+54*x^3+20*x^2+21*x+23", "y^2=15*x^6+16*x^5+63*x^4+53*x^3+71*x^2+29*x+78", "y^2=45*x^6+48*x^5+31*x^4+x^3+55*x^2+8*x+76", "y^2=56*x^6+46*x^5+19*x^3+26*x^2+76*x+9", "y^2=10*x^6+59*x^5+57*x^3+78*x^2+70*x+27", "y^2=19*x^6+71*x^5+21*x^4+44*x^3+54*x^2+38*x+56", "y^2=57*x^6+55*x^5+63*x^4+53*x^3+4*x^2+35*x+10", "y^2=16*x^6+47*x^5+66*x^4+16*x^3+32*x^2+35*x+42", "y^2=48*x^6+62*x^5+40*x^4+48*x^3+17*x^2+26*x+47", "y^2=35*x^6+68*x^5+25*x^4+6*x^3+56*x^2+7*x+61", "y^2=26*x^6+46*x^5+75*x^4+18*x^3+10*x^2+21*x+25", "y^2=34*x^6+35*x^5+35*x^4+54*x^3+65*x^2+32*x+43", "y^2=23*x^6+26*x^5+26*x^4+4*x^3+37*x^2+17*x+50", "y^2=72*x^6+69*x^5+8*x^4+49*x^3+45*x^2+57*x+39", "y^2=58*x^6+49*x^5+24*x^4+68*x^3+56*x^2+13*x+38", "y^2=25*x^6+28*x^5+36*x^4+5*x^3+75*x^2+28*x+35", "y^2=75*x^6+5*x^5+29*x^4+15*x^3+67*x^2+5*x+26", "y^2=29*x^6+67*x^5+47*x^4+23*x^3+56*x^2+51*x+68", "y^2=8*x^6+43*x^5+62*x^4+69*x^3+10*x^2+74*x+46", "y^2=20*x^6+57*x^5+59*x^4+72*x^3+3*x^2+72*x+40", "y^2=60*x^6+13*x^5+19*x^4+58*x^3+9*x^2+58*x+41", "y^2=71*x^6+4*x^5+64*x^4+74*x^3+71*x^2+56*x+31", "y^2=55*x^6+12*x^5+34*x^4+64*x^3+55*x^2+10*x+14", "y^2=61*x^6+60*x^5+57*x^4+13*x^2+13*x+67", "y^2=18*x^6+75*x^5+21*x^4+9*x^3+78*x^2+24*x+66", "y^2=54*x^6+67*x^5+63*x^4+27*x^3+76*x^2+72*x+40", "y^2=9*x^6+63*x^5+47*x^4+62*x^2+65*x+6", "y^2=21*x^6+12*x^5+44*x^4+71*x^3+13*x^2+31*x+49", "y^2=63*x^6+36*x^5+53*x^4+55*x^3+39*x^2+14*x+68", "y^2=72*x^6+4*x^5+15*x^4+76*x^3+20*x^2+21*x+75", "y^2=58*x^6+12*x^5+45*x^4+70*x^3+60*x^2+63*x+67", "y^2=47*x^6+36*x^5+34*x^4+37*x^3+29*x^2+57*x+24", "y^2=62*x^6+29*x^5+23*x^4+32*x^3+8*x^2+13*x+72", "y^2=29*x^6+78*x^5+46*x^4+52*x^3+18*x^2+72*x+20", "y^2=8*x^6+76*x^5+59*x^4+77*x^3+54*x^2+58*x+60", "y^2=45*x^6+61*x^5+16*x^4+71*x^3+29*x^2+x+26", "y^2=56*x^6+25*x^5+48*x^4+55*x^3+8*x^2+3*x+78", "y^2=78*x^6+21*x^5+35*x^4+71*x^3+33*x^2+x+59", "y^2=76*x^6+63*x^5+26*x^4+55*x^3+20*x^2+3*x+19", "y^2=78*x^6+20*x^5+22*x^4+65*x^3+24*x^2+22*x+40", "y^2=76*x^6+60*x^5+66*x^4+37*x^3+72*x^2+66*x+41", "y^2=58*x^6+7*x^5+58*x^4+43*x^3+71*x^2+53*x+35", "y^2=16*x^6+21*x^5+16*x^4+50*x^3+55*x^2+x+26", "y^2=77*x^6+69*x^5+19*x^4+21*x^3+49*x^2+32*x+7", "y^2=73*x^6+49*x^5+57*x^4+63*x^3+68*x^2+17*x+21", "y^2=23*x^6+67*x^5+68*x^4+13*x^3+12*x^2+74*x+56", "y^2=69*x^6+43*x^5+46*x^4+39*x^3+36*x^2+64*x+10", "y^2=35*x^6+6*x^5+40*x^4+65*x^3+53*x^2+19*x+59", "y^2=26*x^6+18*x^5+41*x^4+37*x^3+x^2+57*x+19", "y^2=56*x^6+62*x^5+24*x^4+13*x^3+73*x^2+28*x+19", "y^2=10*x^6+28*x^5+72*x^4+39*x^3+61*x^2+5*x+57", "y^2=67*x^6+56*x^5+30*x^4+77*x^3+31*x^2+x+24", "y^2=43*x^6+10*x^5+11*x^4+73*x^3+14*x^2+3*x+72", "y^2=78*x^6+12*x^5+14*x^4+6*x^3+3*x^2+75*x+33", "y^2=76*x^6+36*x^5+42*x^4+18*x^3+9*x^2+67*x+20", "y^2=54*x^6+29*x^5+24*x^4+28*x^3+63*x^2+27*x+57", "y^2=4*x^6+8*x^5+72*x^4+5*x^3+31*x^2+2*x+13", "y^2=66*x^6+40*x^5+10*x^4+47*x^3+5*x^2+55*x+44", "y^2=40*x^6+41*x^5+30*x^4+62*x^3+15*x^2+7*x+53", "y^2=29*x^6+58*x^5+49*x^4+61*x^3+17*x^2+22*x+68", "y^2=8*x^6+16*x^5+68*x^4+25*x^3+51*x^2+66*x+46", "y^2=69*x^6+54*x^5+21*x^4+16*x^3+22*x^2+19*x+6", "y^2=49*x^6+4*x^5+63*x^4+48*x^3+66*x^2+57*x+18", "y^2=35*x^6+44*x^5+38*x^4+44*x^3+57*x^2+13*x+3", "y^2=26*x^6+53*x^5+35*x^4+53*x^3+13*x^2+39*x+9"], "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": 1, "g": 2, "galois_groups": ["4T2"], "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": 2, "geometric_galois_groups": ["2T1"], "geometric_number_fields": ["2.0.628.1"], "geometric_splitting_field": "2.0.628.1", "geometric_splitting_polynomials": [[157, 0, 1]], "group_structure_count": 1, "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 75, "is_cyclic": true, "is_geometrically_simple": false, "is_geometrically_squarefree": false, "is_primitive": true, "is_simple": true, "is_squarefree": true, "is_supersingular": false, "jacobian_count": 75, "label": "2.79.a_ga", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 8, "newton_coelevation": 2, "newton_elevation": 0, "noncyclic_primes": [], "number_fields": ["4.0.6310144.3"], "p": 79, "p_rank": 2, "p_rank_deficit": 0, "poly": [1, 0, 156, 0, 6241], "poly_str": "1 0 156 0 6241 ", "primitive_models": [], "q": 79, "real_poly": [1, 0, -2], "simple_distinct": ["2.79.a_ga"], "simple_factors": ["2.79.a_gaA"], "simple_multiplicities": [1], "singular_primes": [], "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "4.0.6310144.3", "splitting_polynomials": [[6241, 0, 156, 0, 1]], "twist_count": 4, "twists": [["2.79.a_aga", "2.38950081.abjbw_sjzaug", 4], ["2.79.ac_c", "2.1517108809906561.akobhwe_bxgzrlwtofog", 8], ["2.79.c_c", "2.1517108809906561.akobhwe_bxgzrlwtofog", 8]], "weak_equivalence_count": 1, "zfv_index": 1, "zfv_index_factorization": [], "zfv_is_bass": true, "zfv_is_maximal": true, "zfv_plus_index": 1, "zfv_plus_index_factorization": [], "zfv_plus_norm": 98596, "zfv_singular_count": 0, "zfv_singular_primes": []}