# Stored data for abelian variety isogeny class 2.97.a_ahm, downloaded from the LMFDB on 14 October 2025.
{"abvar_count": 9216, "abvar_counts": [9216, 84934656, 832970179584, 7834102237495296, 73742412672318145536, 693839320076201210413056, 6528362774605914548207084544, 61425362570899173489046978560000, 577951262543040977807812677997126656, 5437943426734467818395034480966076727296], "abvar_counts_str": "9216 84934656 832970179584 7834102237495296 73742412672318145536 693839320076201210413056 6528362774605914548207084544 61425362570899173489046978560000 577951262543040977807812677997126656 5437943426734467818395034480966076727296 ", "angle_corank": 2, "angle_rank": 0, "angles": [0.0, 0.0, 1.0, 1.0], "center_dim": 2, "curve_count": 98, "curve_counts": [98, 9022, 912674, 88491646, 8587340258, 832968354238, 80798284478114, 7837433240259838, 760231058654565218, 73742412655143465022], "curve_counts_str": "98 9022 912674 88491646 8587340258 832968354238 80798284478114 7837433240259838 760231058654565218 73742412655143465022 ", "curves": ["y^2=7*x^6+74*x^5+10*x^4+24*x^3+96*x^2+44*x+3", "y^2=x^6+17*x^3+63", "y^2=55*x^6+81*x^5+34*x^4+36*x^3+88*x^2+49*x+19", "y^2=65*x^6+62*x^5+87*x^4+3*x^3+3*x^2+89*x+87", "y^2=x^6+x^3+63", "y^2=87*x^6+89*x^5+38*x^4+55*x^2+31*x+39", "y^2=90*x^6+87*x^5+34*x^4+62*x^3+35*x^2+8*x+38", "y^2=62*x^6+47*x^5+73*x^4+19*x^3+78*x^2+40*x+93", "y^2=34*x^6+48*x^4+95*x^3+37*x^2+70", "y^2=47*x^6+54*x^5+67*x^4+28*x^3+88*x^2+25*x+19", "y^2=41*x^6+76*x^5+44*x^4+43*x^3+52*x^2+28*x+95", "y^2=79*x^6+79*x^5+56*x^4+14*x^3+79*x^2+36*x+30", "y^2=x^6+x^3+69", "y^2=6*x^6+8*x^5+33*x^4+75*x^3+82*x^2+73*x+17", "y^2=37*x^6+88*x^5+64*x^4+31*x^3+83*x^2+8*x+53", "y^2=85*x^6+96*x^5+11*x^4+62*x^3+57*x^2+95*x+52", "y^2=20*x^6+92*x^5+44*x^4+71*x^3+60*x^2+38*x+22", "y^2=20*x^6+90*x^5+81*x^4+20*x^3+52*x^2+17*x+47", "y^2=x^6+x^3+34"], "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, "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": 1, "geometric_extension_degree": 2, "geometric_galois_groups": ["1T1"], "geometric_number_fields": ["1.1.1.1"], "geometric_splitting_field": "1.1.1.1", "geometric_splitting_polynomials": [[0, 1]], "has_geom_ss_factor": true, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 19, "is_geometrically_simple": false, "is_geometrically_squarefree": false, "is_primitive": true, "is_simple": true, "is_squarefree": true, "is_supersingular": true, "jacobian_count": 19, "label": "2.97.a_ahm", "max_divalg_dim": 4, "max_geom_divalg_dim": 4, "max_twist_degree": 12, "newton_coelevation": 0, "newton_elevation": 2, "number_fields": ["2.2.97.1"], "p": 97, "p_rank": 0, "p_rank_deficit": 2, "poly": [1, 0, -194, 0, 9409], "poly_str": "1 0 -194 0 9409 ", "primitive_models": [], "q": 97, "real_poly": [1, 0, -388], "simple_distinct": ["2.97.a_ahm"], "simple_factors": ["2.97.a_ahmA"], "simple_multiplicities": [1], "slopes": ["1/2A", "1/2B", "1/2C", "1/2D"], "splitting_field": "2.2.97.1", "splitting_polynomials": [[-24, -1, 1]], "twist_count": 5, "twists": [["2.97.a_dt", "2.912673.a_adzwfq", 3], ["2.97.a_hm", "2.88529281.acdro_bssjqwc", 4], ["2.97.a_a", "2.7837433594376961.abduxtxk_mvcykykmwwos", 8], ["2.97.a_adt", "2.693842360995438000295041.apyvtmihnw_drmbmwzyexknjqjfkg", 12]]}