# Stored data for abelian variety isogeny class 2.79.k_hb, downloaded from the LMFDB on 03 September 2025.
{"abvar_count": 7225, "abvar_counts": [7225, 40640625, 242044320400, 1516703288765625, 9468951668564130625, 59091444172433124000000, 368789813677141054092387025, 2301619295195867420946462515625, 14364405149912445243773329592995600, 89648251865185392998530722855087890625], "abvar_counts_str": "7225 40640625 242044320400 1516703288765625 9468951668564130625 59091444172433124000000 368789813677141054092387025 2301619295195867420946462515625 14364405149912445243773329592995600 89648251865185392998530722855087890625 ", "angle_corank": 1, "angle_rank": 1, "angles": [0.590756304636661, 0.590756304636661], "center_dim": 2, "curve_count": 90, "curve_counts": [90, 6508, 490920, 38939668, 3077275950, 243087180478, 19203893016930, 1517108911481188, 119851596736314360, 9468276070833971548], "curve_counts_str": "90 6508 490920 38939668 3077275950 243087180478 19203893016930 1517108911481188 119851596736314360 9468276070833971548 ", "curves": ["y^2=46*x^6+58*x^5+23*x^4+39*x^3+23*x^2+58*x+46", "y^2=59*x^6+32*x^5+30*x^4+63*x^3+56*x^2+26*x+27", "y^2=4*x^6+71*x^5+35*x^4+40*x^3+39*x^2+31*x+11", "y^2=61*x^6+63*x^5+11*x^4+6*x^3+3*x^2+56*x+75", "y^2=65*x^6+30*x^5+21*x^4+74*x^3+76*x^2+41*x+3", "y^2=4*x^6+15*x^5+77*x^4+59*x^3+77*x^2+15*x+4", "y^2=70*x^6+43*x^5+57*x^4+4*x^3+14*x^2+21*x+57", "y^2=71*x^6+23*x^5+73*x^4+59*x^3+73*x^2+23*x+71", "y^2=23*x^6+74*x^5+x^4+36*x^3+x^2+74*x+23", "y^2=59*x^6+48*x^5+53*x^4+66*x^3+53*x^2+48*x+59", "y^2=10*x^6+52*x^5+19*x^4+20*x^3+25*x^2+49*x+40", "y^2=76*x^6+66*x^5+64*x^4+3*x^3+61*x^2+68*x+22", "y^2=10*x^6+59*x^5+55*x^4+55*x^3+55*x^2+59*x+10", "y^2=46*x^6+22*x^5+8*x^4+10*x^3+50*x^2+63*x+40", "y^2=20*x^6+34*x^5+68*x^4+53*x^3+38*x^2+21*x+54", "y^2=58*x^6+5*x^5+52*x^4+29*x^3+53*x^2+73*x+47", "y^2=38*x^6+x^5+34*x^4+30*x^3+69*x^2+6*x+36", "y^2=8*x^6+51*x^5+44*x^4+26*x^3+69*x^2+6*x+9", "y^2=35*x^6+37*x^5+48*x^4+66*x^3+48*x^2+37*x+35", "y^2=63*x^6+37*x^5+60*x^4+36*x^3+33*x^2+55*x+44", "y^2=30*x^6+53*x^5+37*x^4+27*x^3+48*x^2+66*x+35", "y^2=19*x^6+40*x^5+76*x^4+28*x^3+20*x^2+77*x+73", "y^2=25*x^6+9*x^5+41*x^4+42*x^3+41*x^2+9*x+25", "y^2=25*x^6+34*x^5+2*x^4+34*x^3+40*x^2+31*x+29", "y^2=21*x^6+69*x^5+51*x^4+52*x^3+51*x^2+69*x+21", "y^2=8*x^6+46*x^5+15*x^4+15*x^3+7*x^2+46*x+52", "y^2=77*x^6+29*x^5+27*x^4+23*x^3+50*x^2+61*x+74", "y^2=66*x^6+65*x^5+17*x^4+61*x^3+21*x^2+66*x+38", "y^2=30*x^6+48*x^5+38*x^4+23*x^3+70*x^2+74*x+15", "y^2=52*x^6+7*x^5+x^4+72*x^3+x^2+7*x+52", "y^2=57*x^6+7*x^5+64*x^4+59*x^3+64*x^2+7*x+57", "y^2=35*x^6+75*x^5+43*x^4+2*x^3+43*x^2+75*x+35", "y^2=18*x^6+8*x^5+48*x^4+69*x^3+76*x^2+25*x+16", "y^2=3*x^6+48*x^3+43", "y^2=49*x^6+69*x^5+48*x^4+64*x^3+48*x^2+69*x+49", "y^2=50*x^6+30*x^5+45*x^4+24*x^3+33*x^2+9*x+36", "y^2=60*x^6+8*x^5+24*x^4+68*x^3+24*x^2+8*x+60", "y^2=55*x^6+72*x^5+23*x^4+49*x^3+67*x^2+3*x+49", "y^2=11*x^6+67*x^5+3*x^4+44*x^3+3*x^2+67*x+11", "y^2=3*x^6+27*x^3+54", "y^2=17*x^6+35*x^5+36*x^4+78*x^3+74*x^2+59*x+38", "y^2=78*x^6+43*x^5+8*x^4+60*x^3+50*x^2+47*x+46", "y^2=26*x^6+76*x^5+50*x^4+29*x^3+20*x^2+11*x+5", "y^2=10*x^6+66*x^5+47*x^4+16*x^3+12*x^2+29*x+7", "y^2=5*x^6+68*x^5+4*x^4+25*x^3+4*x^2+68*x+5", "y^2=77*x^6+63*x^5+27*x^4+35*x^3+10*x^2+4*x+73", "y^2=67*x^6+26*x^5+63*x^4+27*x^3+49*x^2+4*x+46", "y^2=49*x^6+11*x^5+16*x^4+37*x^3+16*x^2+67*x+61", "y^2=24*x^6+29*x^5+43*x^4+44*x^3+32*x^2+13*x+47", "y^2=19*x^6+47*x^5+33*x^4+21*x^3+76*x^2+42*x+18", "y^2=57*x^6+8*x^5+66*x^4+68*x^3+66*x^2+8*x+57", "y^2=32*x^6+33*x^5+47*x^4+43*x^3+47*x^2+33*x+32", "y^2=23*x^6+22*x^5+65*x^4+43*x^3+23*x^2+24*x+38", "y^2=71*x^6+59*x^5+48*x^4+69*x^3+48*x^2+59*x+71", "y^2=12*x^6+30*x^5+2*x^4+59*x^3+2*x^2+30*x+12", "y^2=25*x^6+23*x^5+3*x^4+70*x^3+58*x^2+55*x+38"], "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": ["2.0.291.1"], "geometric_splitting_field": "2.0.291.1", "geometric_splitting_polynomials": [[73, -1, 1]], "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 56, "is_geometrically_simple": false, "is_geometrically_squarefree": false, "is_primitive": true, "is_simple": false, "is_squarefree": false, "is_supersingular": false, "jacobian_count": 56, "label": "2.79.k_hb", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 6, "newton_coelevation": 2, "newton_elevation": 0, "number_fields": ["2.0.291.1"], "p": 79, "p_rank": 2, "p_rank_deficit": 0, "poly": [1, 10, 183, 790, 6241], "poly_str": "1 10 183 790 6241 ", "primitive_models": [], "q": 79, "real_poly": [1, 10, 25], "simple_distinct": ["1.79.f"], "simple_factors": ["1.79.fA", "1.79.fB"], "simple_multiplicities": [2], "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "2.0.291.1", "splitting_polynomials": [[73, -1, 1]], "twist_count": 6, "twists": [["2.79.ak_hb", "2.6241.kg_bsql", 2], ["2.79.a_fd", "2.6241.kg_bsql", 2], ["2.79.af_acc", "2.493039.addo_eqavm", 3], ["2.79.a_afd", "2.38950081.apko_ivuurz", 4], ["2.79.f_acc", "2.243087455521.apqwq_ckxavshgo", 6]]}