# Stored data for abelian variety isogeny class 2.79.abb_mm, downloaded from the LMFDB on 02 May 2024.
{"label": "2.79.abb_mm", "g": 2, "p": 79, "q": 79, "poly": [1, -27, 324, -2133, 6241], "poly_str": "1 -27 324 -2133 6241 ", "slopes": ["0A", "0B", "1A", "1B"], "p_rank": 2, "p_rank_deficit": 0, "angles": [0.0529367503537374, 0.321190347893966], "angle_rank": 2, "number_fields": ["4.0.169000.2"], "galois_groups": ["4T3"], "center_dim": 4, "abvar_counts": [4406, 38446756, 243166593656, 1517030560377760, 9467934547461302546, 59091147632485305472576, 368789934138361378004427026, 2301619138571318425600461471360, 14364405131582893056420221991989336, 89648252028038926681571119095869315716], "abvar_counts_str": "4406 38446756 243166593656 1517030560377760 9467934547461302546 59091147632485305472576 368789934138361378004427026 2301619138571318425600461471360 14364405131582893056420221991989336 89648252028038926681571119095869315716 ", "abvar_count": 4406, "curve_counts": [53, 6161, 493202, 38948073, 3076945403, 243085960586, 19203899289677, 1517108808242353, 119851596583378958, 9468276088033885481], "curve_counts_str": "53 6161 493202 38948073 3076945403 243085960586 19203899289677 1517108808242353 119851596583378958 9468276088033885481 ", "curve_count": 53, "has_jacobian": 1, "has_principal_polarization": 1, "geometric_extension_degree": 1, "geometric_center_dim": 4, "geometric_number_fields": ["4.0.169000.2"], "geometric_galois_groups": ["4T3"], "primitive_models": [], "is_primitive": true, "twists": [["2.79.bb_mm", "2.6241.add_djo", 2]], "twist_count": 2, "max_twist_degree": 2, "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "is_simple": true, "is_geometrically_simple": true, "simple_distinct": ["2.79.abb_mm"], "simple_multiplicities": [1], "simple_factors": ["2.79.abb_mmA"], "dim1_factors": 0, "dim2_factors": 1, "dim3_factors": 0, "dim4_factors": 0, "dim5_factors": 0, "dim1_distinct": 0, "dim2_distinct": 1, "dim3_distinct": 0, "dim4_distinct": 0, "dim5_distinct": 0, "geom_dim1_factors": 0, "geom_dim2_factors": 1, "geom_dim3_factors": 0, "geom_dim4_factors": 0, "geom_dim5_factors": 0, "geom_dim1_distinct": 0, "geom_dim2_distinct": 1, "geom_dim3_distinct": 0, "geom_dim4_distinct": 0, "geom_dim5_distinct": 0, "has_geom_ss_factor": false, "real_poly": [1, -27, 166], "jacobian_count": 14, "curves": ["y^2=66*x^6+42*x^5+63*x^4+78*x^3+17*x^2+60*x+18", "y^2=35*x^6+42*x^5+11*x^4+46*x^3+6*x^2+52*x+66", "y^2=12*x^6+16*x^5+26*x^4+25*x^3+67*x^2+41*x+34", "y^2=25*x^6+31*x^5+58*x^4+43*x^3+57*x^2+61*x+32", "y^2=78*x^6+24*x^5+12*x^4+2*x^3+15*x^2+4*x+38", "y^2=67*x^6+31*x^5+54*x^4+32*x^3+75*x^2+49*x+35", "y^2=32*x^6+31*x^5+61*x^4+48*x^3+62*x^2+71*x+18", "y^2=57*x^6+x^5+7*x^4+34*x^3+52*x^2+11*x+20", "y^2=28*x^6+3*x^5+43*x^4+69*x^3+77*x^2+8*x+71", "y^2=37*x^6+10*x^5+60*x^4+38*x^3+67*x^2+46*x+33", "y^2=4*x^6+67*x^5+23*x^4+52*x^3+65*x^2+58*x+53", "y^2=30*x^6+8*x^5+25*x^3+56*x^2+13*x+74", "y^2=10*x^6+75*x^5+3*x^4+74*x^3+48*x^2+41*x+53", "y^2=28*x^6+38*x^5+15*x^4+77*x^3+44*x^2+51*x+59"], "hyp_count": 14, "zfv_is_bass": true, "zfv_is_maximal": false, "zfv_index": 7, "zfv_index_factorization": [[7, 1]], "zfv_plus_index": 1, "zfv_plus_index_factorization": [], "zfv_plus_norm": 1960, "geometric_splitting_field": "4.0.104000.4", "splitting_field": "4.0.104000.4", "geometric_splitting_polynomials": [[41, -18, 19, -2, 1]], "splitting_polynomials": [[41, -18, 19, -2, 1]], "is_squarefree": true, "is_geometrically_squarefree": true, "size": 28, "principal_polarization_count": 14, "pic_prime_gens": [[1, 2, 1, 4], [1, 5, 1, 4], [1, 3, 1, 6]]}