# Stored data for abelian variety isogeny class 2.79.a_afk, downloaded from the LMFDB on 21 September 2026.
{"abvar_count": 6102, "abvar_counts": [6102, 37234404, 243087332742, 1516554445105296, 9468276087205910502, 59091451339619825238564, 368790120348715767317087862, 2301619223730710417519024640000, 14364405059580771669964304492038902, 89648252063555266533339930482833892004], "abvar_counts_str": "6102 37234404 243087332742 1516554445105296 9468276087205910502 59091451339619825238564 368790120348715767317087862 2301619223730710417519024640000 14364405059580771669964304492038902 89648252063555266533339930482833892004 ", "angle_corank": 1, "angle_rank": 1, "angles": [0.0767104994935403, 0.92328950050646], "center_dim": 4, "cohen_macaulay_max": 1, "curve_count": 80, "curve_counts": [80, 5962, 493040, 38935846, 3077056400, 243087209962, 19203908986160, 1517108864375038, 119851595982618320, 9468276091784973802], "curve_counts_str": "80 5962 493040 38935846 3077056400 243087209962 19203908986160 1517108864375038 119851595982618320 9468276091784973802 ", "curves": ["y^2=69*x^6+47*x^5+27*x^4+68*x^3+17*x^2+23*x+51", "y^2=49*x^6+62*x^5+2*x^4+46*x^3+51*x^2+69*x+74", "y^2=39*x^6+11*x^5+53*x^4+59*x^3+24*x^2+58*x+77", "y^2=38*x^6+33*x^5+x^4+19*x^3+72*x^2+16*x+73", "y^2=43*x^6+68*x^5+27*x^4+x^3+42*x^2+13*x+62", "y^2=50*x^6+46*x^5+2*x^4+3*x^3+47*x^2+39*x+28", "y^2=62*x^6+41*x^5+53*x^4+67*x^3+7*x^2+61*x+40", "y^2=28*x^6+44*x^5+x^4+43*x^3+21*x^2+25*x+41", "y^2=50*x^6+15*x^5+7*x^4+64*x^3+10*x^2+21*x+53", "y^2=71*x^6+45*x^5+21*x^4+34*x^3+30*x^2+63*x+1", "y^2=65*x^6+13*x^5+27*x^4+21*x^3+57*x^2+17*x+34", "y^2=37*x^6+39*x^5+2*x^4+63*x^3+13*x^2+51*x+23", "y^2=54*x^6+71*x^5+31*x^4+75*x^3+46*x^2+29*x+3", "y^2=4*x^6+55*x^5+14*x^4+67*x^3+59*x^2+8*x+9", "y^2=27*x^6+74*x^5+47*x^4+48*x^3+61*x^2+8*x+50", "y^2=2*x^6+64*x^5+62*x^4+65*x^3+25*x^2+24*x+71", "y^2=4*x^6+52*x^5+41*x^4+16*x^3+10*x^2+65*x+33", "y^2=12*x^6+77*x^5+44*x^4+48*x^3+30*x^2+37*x+20", "y^2=70*x^6+x^5+10*x^4+17*x^3+23*x^2+30*x+19", "y^2=52*x^6+3*x^5+30*x^4+51*x^3+69*x^2+11*x+57", "y^2=12*x^6+34*x^5+12*x^4+67*x^3+23*x^2+46*x+11", "y^2=36*x^6+23*x^5+36*x^4+43*x^3+69*x^2+59*x+33", "y^2=52*x^6+x^5+26*x^4+65*x^3+43*x^2+29*x+48", "y^2=77*x^6+3*x^5+78*x^4+37*x^3+50*x^2+8*x+65", "y^2=53*x^6+39*x^5+54*x^4+50*x^3+54*x^2+3*x+77", "y^2=x^6+38*x^5+4*x^4+71*x^3+4*x^2+9*x+73", "y^2=20*x^6+47*x^5+59*x^4+48*x^2+37*x+7", "y^2=60*x^6+62*x^5+19*x^4+65*x^2+32*x+21", "y^2=72*x^6+13*x^5+55*x^4+28*x^3+63*x^2+53*x+63", "y^2=58*x^6+39*x^5+7*x^4+5*x^3+31*x^2+x+31", "y^2=60*x^6+46*x^5+61*x^4+31*x^3+15*x^2+22*x+14", "y^2=22*x^6+59*x^5+25*x^4+14*x^3+45*x^2+66*x+42", "y^2=17*x^6+30*x^5+49*x^4+68*x^3+40*x^2+39*x+54", "y^2=51*x^6+11*x^5+68*x^4+46*x^3+41*x^2+38*x+4", "y^2=61*x^6+47*x^5+74*x^4+33*x^3+2*x^2+28*x+66", "y^2=25*x^6+62*x^5+64*x^4+20*x^3+6*x^2+5*x+40", "y^2=21*x^6+53*x^5+46*x^4+54*x^3+13*x^2+66*x+35", "y^2=63*x^6+x^5+59*x^4+4*x^3+39*x^2+40*x+26", "y^2=63*x^6+8*x^5+3*x^4+48*x^3+42*x^2+46*x+10", "y^2=31*x^6+24*x^5+9*x^4+65*x^3+47*x^2+59*x+30", "y^2=8*x^6+78*x^5+28*x^4+46*x^3+56*x^2+60*x+27", "y^2=24*x^6+76*x^5+5*x^4+59*x^3+10*x^2+22*x+2"], "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": ["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": ["2.0.596.1"], "geometric_splitting_field": "2.0.596.1", "geometric_splitting_polynomials": [[149, 0, 1]], "group_structure_count": 2, "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 42, "is_cyclic": false, "is_geometrically_simple": false, "is_geometrically_squarefree": false, "is_primitive": true, "is_simple": true, "is_squarefree": true, "is_supersingular": false, "jacobian_count": 42, "label": "2.79.a_afk", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 8, "newton_coelevation": 2, "newton_elevation": 0, "noncyclic_primes": [3], "number_fields": ["4.0.5683456.1"], "p": 79, "p_rank": 2, "p_rank_deficit": 0, "poly": [1, 0, -140, 0, 6241], "poly_str": "1 0 -140 0 6241 ", "primitive_models": [], "q": 79, "real_poly": [1, 0, -298], "simple_distinct": ["2.79.a_afk"], "simple_factors": ["2.79.a_afkA"], "simple_multiplicities": [1], "singular_primes": ["3,11*F-6*V+2", "3,-4*F^2+F"], "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "4.0.5683456.1", "splitting_polynomials": [[5625, 0, -148, 0, 1]], "twist_count": 4, "twists": [["2.79.a_fk", "2.38950081.avbo_kviwnm", 4], ["2.79.ag_s", "2.1517108809906561.epfark_batlovvfqjko", 8], ["2.79.g_s", "2.1517108809906561.epfark_batlovvfqjko", 8]], "weak_equivalence_count": 4, "zfv_index": 9, "zfv_index_factorization": [[3, 2]], "zfv_is_bass": true, "zfv_is_maximal": false, "zfv_plus_index": 1, "zfv_plus_index_factorization": [], "zfv_plus_norm": 324, "zfv_singular_count": 4, "zfv_singular_primes": ["3,11*F-6*V+2", "3,-4*F^2+F"]}