# Stored data for abelian variety isogeny class 2.79.l_hb, downloaded from the LMFDB on 14 May 2026.
{"abvar_count": 7305, "abvar_counts": [7305, 40506225, 242053563735, 1516862734090125, 9468806691510452400, 59091403175060233439025, 368789965342615344667229115, 2301619231475860522393226995125, 14364405075303927448591648822477245, 89648251952588291286370282365831840000], "abvar_counts_str": "7305 40506225 242053563735 1516862734090125 9468806691510452400 59091403175060233439025 368789965342615344667229115 2301619231475860522393226995125 14364405075303927448591648822477245 89648251952588291286370282365831840000 ", "all_polarized_product": false, "all_unpolarized_product": false, "angle_corank": 0, "angle_rank": 2, "angles": [0.557772928488342, 0.644417188646764], "center_dim": 4, "cohen_macaulay_max": 1, "curve_count": 91, "curve_counts": [91, 6487, 490939, 38943763, 3077228836, 243087011827, 19203900914569, 1517108869480243, 119851596113806861, 9468276080065102702], "curve_counts_str": "91 6487 490939 38943763 3077228836 243087011827 19203900914569 1517108869480243 119851596113806861 9468276080065102702 ", "curves": ["y^2=20*x^6+72*x^5+53*x^4+75*x^3+35*x^2+57*x+72", "y^2=78*x^6+73*x^5+41*x^4+8*x^3+25*x^2+76*x+22", "y^2=36*x^6+69*x^5+37*x^4+62*x^3+44*x^2+31*x+33", "y^2=69*x^6+15*x^5+55*x^4+14*x^3+10*x^2+31*x+22", "y^2=77*x^6+24*x^5+44*x^4+2*x^3+16*x^2+x+33", "y^2=34*x^6+71*x^5+58*x^4+9*x^3+45*x^2+53*x+50", "y^2=9*x^6+54*x^5+19*x^4+14*x^3+77*x^2+53*x+62", "y^2=55*x^6+12*x^5+14*x^4+34*x^3+33*x^2+63*x+46", "y^2=20*x^6+62*x^5+53*x^4+72*x^3+13*x^2+36*x+62", "y^2=49*x^6+51*x^5+65*x^4+76*x^3+44*x^2+73*x+53", "y^2=48*x^6+12*x^5+64*x^4+75*x^3+65*x^2+57*x+47", "y^2=4*x^6+62*x^5+10*x^4+42*x^3+74*x^2+3*x+37", "y^2=6*x^6+54*x^5+73*x^4+29*x^3+30*x^2+53*x+74", "y^2=42*x^6+11*x^5+9*x^4+38*x^3+6*x^2+4*x+77", "y^2=3*x^6+31*x^5+35*x^4+2*x^3+38*x^2+53*x+62", "y^2=21*x^6+58*x^5+10*x^4+5*x^3+3*x^2+75*x+2", "y^2=67*x^6+21*x^5+33*x^4+2*x^3+12*x^2+71*x+38", "y^2=62*x^6+31*x^5+5*x^4+70*x^3+2*x^2+75*x+40", "y^2=46*x^6+63*x^5+49*x^4+10*x^3+18*x^2+66*x+16", "y^2=26*x^6+75*x^5+10*x^4+37*x^3+74*x^2+42*x+68", "y^2=23*x^6+21*x^5+60*x^4+76*x^3+70*x^2+20*x+24", "y^2=64*x^6+37*x^5+12*x^4+61*x^3+8*x^2+13*x+4", "y^2=74*x^6+64*x^5+24*x^4+46*x^3+51*x^2+33*x+67", "y^2=42*x^6+53*x^5+54*x^3+63*x^2+29*x+41", "y^2=70*x^6+46*x^5+21*x^4+9*x^3+51*x^2+7*x+64", "y^2=67*x^6+59*x^5+x^4+49*x^3+28*x^2+11*x+24", "y^2=16*x^6+53*x^5+78*x^4+16*x^3+57*x^2+13*x+31", "y^2=11*x^6+49*x^5+16*x^4+13*x^3+63*x^2+46*x+18", "y^2=48*x^5+x^4+71*x^3+75*x^2+15*x+24", "y^2=13*x^6+36*x^5+26*x^4+51*x^3+10*x^2+40*x+25", "y^2=2*x^6+6*x^5+23*x^3+77*x^2+51*x+74", "y^2=22*x^6+45*x^5+50*x^4+46*x^3+45*x^2+71*x+73", "y^2=52*x^6+14*x^5+53*x^4+65*x^3+27*x^2+42*x+33", "y^2=53*x^6+64*x^5+32*x^4+61*x^3+36*x^2+7*x+12", "y^2=20*x^6+56*x^5+2*x^4+78*x^3+6*x^2+10*x+54", "y^2=63*x^6+17*x^5+23*x^4+64*x^3+64*x^2+35*x+8", "y^2=28*x^6+78*x^5+18*x^4+69*x^3+12*x^2+71*x+1", "y^2=54*x^6+41*x^5+11*x^4+37*x^3+54*x^2+65*x+42", "y^2=60*x^6+26*x^5+54*x^4+72*x^3+71*x^2+44*x+74", "y^2=67*x^6+2*x^5+33*x^4+67*x^3+74*x^2+28*x+11", "y^2=x^6+28*x^5+27*x^4+2*x^3+6*x^2+41*x+57", "y^2=32*x^6+57*x^5+34*x^4+68*x^3+65*x^2+76*x+47", "y^2=74*x^6+32*x^5+18*x^4+14*x^3+75*x^2+73*x+18", "y^2=32*x^6+43*x^5+23*x^4+18*x^3+54*x^2+63*x+42", "y^2=73*x^6+28*x^5+59*x^4+53*x^3+29*x^2+62*x+1", "y^2=78*x^6+16*x^5+26*x^4+24*x^3+55*x^2+17*x+33", "y^2=8*x^6+62*x^5+74*x^4+55*x^3+5*x^2+76*x+67", "y^2=6*x^6+55*x^5+78*x^4+58*x^3+73*x^2+70*x+52"], "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": ["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": ["4.0.34417845.1"], "geometric_splitting_field": "4.0.34417845.1", "geometric_splitting_polynomials": [[5065, -40, 138, -1, 1]], "group_structure_count": 1, "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 48, "is_cyclic": true, "is_geometrically_simple": true, "is_geometrically_squarefree": true, "is_primitive": true, "is_simple": true, "is_squarefree": true, "is_supersingular": false, "jacobian_count": 48, "label": "2.79.l_hb", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 2, "newton_coelevation": 2, "newton_elevation": 0, "noncyclic_primes": [], "number_fields": ["4.0.34417845.1"], "p": 79, "p_rank": 2, "p_rank_deficit": 0, "pic_prime_gens": [[1, 3, 1, 2], [1, 5, 1, 12], [1, 41, 1, 6]], "poly": [1, 11, 183, 869, 6241], "poly_str": "1 11 183 869 6241 ", "primitive_models": [], "principal_polarization_count": 48, "q": 79, "real_poly": [1, 11, 25], "simple_distinct": ["2.79.l_hb"], "simple_factors": ["2.79.l_hbA"], "simple_multiplicities": [1], "singular_primes": [], "size": 48, "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "4.0.34417845.1", "splitting_polynomials": [[5065, -40, 138, -1, 1]], "twist_count": 2, "twists": [["2.79.al_hb", "2.6241.jl_bnsv", 2]], "weak_equivalence_count": 1, "zfv_index": 1, "zfv_index_factorization": [], "zfv_is_bass": true, "zfv_is_maximal": true, "zfv_pic_size": 48, "zfv_plus_index": 1, "zfv_plus_index_factorization": [], "zfv_plus_norm": 78045, "zfv_singular_count": 0, "zfv_singular_primes": []}