# Stored data for abelian variety isogeny class 2.79.c_gb, downloaded from the LMFDB on 19 October 2025.
{"abvar_count": 6559, "abvar_counts": [6559, 40921601, 242861588452, 1516209195669161, 9468451363166605999, 59091912384793363909904, 368790010422113292960946159, 2301618970287135764990969261129, 14364405120406125461124812371515172, 89648252045597809374483907097834501601], "abvar_counts_str": "6559 40921601 242861588452 1516209195669161 9468451363166605999 59091912384793363909904 368790010422113292960946159 2301618970287135764990969261129 14364405120406125461124812371515172 89648252045597809374483907097834501601 ", "all_polarized_product": false, "all_unpolarized_product": false, "angle_corank": 0, "angle_rank": 2, "angles": [0.492582283879233, 0.543363711117673], "center_dim": 4, "cohen_macaulay_max": 1, "curve_count": 82, "curve_counts": [82, 6552, 492580, 38926980, 3077113362, 243089106582, 19203903261982, 1517108697318084, 119851596490123900, 9468276089888381752], "curve_counts_str": "82 6552 492580 38926980 3077113362 243089106582 19203903261982 1517108697318084 119851596490123900 9468276089888381752 ", "curves": ["y^2=18*x^6+23*x^4+72*x^3+23*x^2+69*x+22", "y^2=24*x^6+27*x^5+41*x^4+16*x^3+57*x^2+62*x+33", "y^2=75*x^6+59*x^5+61*x^4+63*x^3+49*x^2+40*x+30", "y^2=7*x^6+72*x^5+45*x^4+69*x^3+69*x^2+17*x+2", "y^2=71*x^6+58*x^5+65*x^4+66*x^3+75*x^2+39*x+12", "y^2=47*x^6+44*x^5+49*x^4+8*x^3+66*x^2+36*x+47", "y^2=28*x^6+2*x^5+36*x^4+12*x^3+21*x^2+15*x+32", "y^2=43*x^6+73*x^5+52*x^4+41*x^3+48*x^2+33*x+47", "y^2=62*x^6+65*x^5+10*x^4+70*x^3+13*x^2+66*x+53", "y^2=78*x^6+13*x^5+69*x^4+78*x^3+11*x^2+36*x+60", "y^2=25*x^6+8*x^5+31*x^4+42*x^3+30*x^2+16*x+28", "y^2=5*x^6+52*x^5+78*x^4+71*x^3+24*x^2+33*x+17", "y^2=5*x^6+4*x^5+37*x^4+43*x^3+61*x^2+25*x+31", "y^2=61*x^6+44*x^5+57*x^4+53*x^3+26*x^2+23*x+64", "y^2=40*x^6+33*x^5+63*x^4+40*x^3+72*x^2+19*x+47", "y^2=77*x^6+31*x^5+36*x^4+48*x^3+28*x^2+30*x+69", "y^2=77*x^6+2*x^5+50*x^4+16*x^3+68*x^2+24*x+6", "y^2=69*x^6+69*x^5+27*x^4+64*x^3+42*x^2+48*x+73", "y^2=45*x^6+11*x^5+61*x^4+76*x^3+2*x^2+34*x+34", "y^2=62*x^6+71*x^5+30*x^4+76*x^3+8*x^2+62*x+49", "y^2=40*x^6+61*x^5+50*x^4+12*x^3+65*x^2+17*x+33", "y^2=44*x^6+23*x^5+74*x^4+76*x^3+34*x^2+32*x+16", "y^2=34*x^6+41*x^5+69*x^4+49*x^3+34*x^2+36*x+74", "y^2=75*x^6+35*x^5+58*x^4+30*x^3+59*x^2+62*x+27", "y^2=70*x^6+38*x^5+33*x^4+32*x^3+39*x^2+55*x+63", "y^2=8*x^6+48*x^5+17*x^4+44*x^3+64*x^2+35*x+6", "y^2=63*x^6+4*x^5+33*x^4+19*x^3+40*x^2+43*x+42"], "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": ["4.0.6269504.2"], "geometric_splitting_field": "4.0.6269504.2", "geometric_splitting_polynomials": [[6239, -154, 157, -2, 1]], "group_structure_count": 1, "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 27, "is_geometrically_simple": true, "is_geometrically_squarefree": true, "is_primitive": true, "is_simple": true, "is_squarefree": true, "is_supersingular": false, "jacobian_count": 27, "label": "2.79.c_gb", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 2, "newton_coelevation": 2, "newton_elevation": 0, "number_fields": ["4.0.6269504.2"], "p": 79, "p_rank": 2, "p_rank_deficit": 0, "pic_prime_gens": [[1, 7, 1, 9], [1, 17, 1, 27]], "poly": [1, 2, 157, 158, 6241], "poly_str": "1 2 157 158 6241 ", "primitive_models": [], "principal_polarization_count": 27, "q": 79, "real_poly": [1, 2, -1], "simple_distinct": ["2.79.c_gb"], "simple_factors": ["2.79.c_gbA"], "simple_multiplicities": [1], "singular_primes": [], "size": 27, "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "4.0.6269504.2", "splitting_polynomials": [[6239, -154, 157, -2, 1]], "twist_count": 2, "twists": [["2.79.ac_gb", "2.6241.ly_cbzv", 2]], "weak_equivalence_count": 1, "zfv_index": 1, "zfv_index_factorization": [], "zfv_is_bass": true, "zfv_is_maximal": true, "zfv_pic_size": 27, "zfv_plus_index": 1, "zfv_plus_index_factorization": [], "zfv_plus_norm": 97961, "zfv_singular_count": 0, "zfv_singular_primes": []}