# Stored data for abelian variety isogeny class 2.97.b_hk, downloaded from the LMFDB on 05 March 2026.
{"abvar_count": 9700, "abvar_counts": [9700, 92188800, 832714464400, 7834272443712000, 73742787806075558500, 693845057426713332940800, 6528362331221457457594963300, 61425363118461170004286665984000, 577951263008961638768901113783981200, 5437943431040079103457042922298789584000], "abvar_counts_str": "9700 92188800 832714464400 7834272443712000 73742787806075558500 693845057426713332940800 6528362331221457457594963300 61425363118461170004286665984000 577951263008961638768901113783981200 5437943431040079103457042922298789584000 ", "angle_corank": 0, "angle_rank": 2, "angles": [0.483833314356513, 0.532375263178838], "center_dim": 4, "cohen_macaulay_max": 2, "curve_count": 99, "curve_counts": [99, 9793, 912390, 88493569, 8587383939, 832975242046, 80798278990563, 7837433310124801, 760231059267432390, 73742412713530641793], "curve_counts_str": "99 9793 912390 88493569 8587383939 832975242046 80798278990563 7837433310124801 760231059267432390 73742412713530641793 ", "curves": ["y^2=51*x^6+90*x^5+30*x^4+87*x^3+46*x^2+17*x+8", "y^2=12*x^6+96*x^5+90*x^3+14*x^2+78*x+72", "y^2=73*x^6+42*x^5+20*x^4+81*x^3+61*x^2+92*x+29", "y^2=93*x^6+44*x^5+29*x^4+60*x^3+32*x^2+5*x+93", "y^2=64*x^6+38*x^5+67*x^4+23*x^3+17*x^2+80*x+89", "y^2=38*x^6+50*x^5+3*x^4+77*x^3+86*x^2+84*x+12", "y^2=53*x^6+84*x^5+88*x^4+16*x^3+18*x^2+39*x+85", "y^2=91*x^6+32*x^5+84*x^4+35*x^3+64*x^2+31*x+15", "y^2=26*x^6+60*x^5+24*x^4+2*x^3+67*x^2+96*x+41", "y^2=95*x^6+93*x^5+96*x^4+20*x^3+40*x^2+63*x+48", "y^2=34*x^6+70*x^5+18*x^4+18*x^3+21*x^2+93*x+22", "y^2=5*x^6+16*x^5+90*x^4+38*x^3+26*x^2+16*x+8", "y^2=13*x^6+19*x^5+82*x^4+9*x^3+81*x^2+21*x+66", "y^2=41*x^6+55*x^5+38*x^4+35*x^3+4*x^2+41*x+88", "y^2=11*x^6+72*x^5+52*x^4+54*x^3+91*x^2+8*x+3", "y^2=41*x^6+46*x^5+77*x^4+96*x^3+69*x^2+23*x+14", "y^2=9*x^6+85*x^5+4*x^4+91*x^3+47*x^2+5*x+37", "y^2=6*x^6+28*x^5+56*x^4+36*x^3+9*x^2+77*x+52", "y^2=48*x^6+47*x^5+96*x^4+x^3+56*x^2+53*x+67", "y^2=13*x^6+35*x^5+60*x^4+89*x^3+35*x^2+96*x+51", "y^2=43*x^6+35*x^5+43*x^4+76*x^3+25*x^2+33*x+45", "y^2=18*x^6+77*x^5+24*x^4+67*x^3+45*x^2+28*x+76", "y^2=7*x^6+35*x^5+96*x^4+19*x^3+86*x^2+65*x+15", "y^2=88*x^6+65*x^5+74*x^4+70*x^3+39*x^2+89*x+85", "y^2=44*x^6+16*x^5+6*x^4+77*x^3+33*x^2+77*x+9", "y^2=59*x^6+18*x^5+73*x^4+69*x^3+75*x^2+76*x+67", "y^2=54*x^6+95*x^5+41*x^4+10*x^3+10*x^2+52*x+44", "y^2=8*x^6+32*x^5+68*x^4+37*x^3+39*x^2+93*x+79", "y^2=81*x^6+95*x^5+29*x^4+29*x^3+56*x^2+80*x+71", "y^2=50*x^6+2*x^5+12*x^4+34*x^3+32*x^2+4*x+10", "y^2=62*x^6+60*x^5+21*x^4+48*x^3+24*x^2+78*x+55", "y^2=68*x^6+54*x^5+83*x^4+87*x^3+81*x^2+9*x+5", "y^2=21*x^6+91*x^5+34*x^4+82*x^3+46*x^2+7*x+9", "y^2=28*x^6+48*x^5+2*x^4+27*x^3+45*x^2+32*x+9", "y^2=61*x^6+59*x^5+88*x^4+92*x^3+24*x^2+15*x+95", "y^2=55*x^6+56*x^5+36*x^4+59*x^3+24*x^2+80*x+87", "y^2=82*x^6+36*x^5+39*x^4+89*x^3+19*x^2+61*x+25", "y^2=4*x^6+78*x^5+56*x^4+6*x^3+87*x^2+22*x+61", "y^2=84*x^6+73*x^5+85*x^4+21*x^3+72*x^2+31*x+24", "y^2=14*x^6+29*x^5+4*x^4+26*x^3+35*x^2+96*x+26", "y^2=72*x^6+16*x^5+26*x^4+84*x^3+19*x^2+78*x+86", "y^2=5*x^6+65*x^5+87*x^4+10*x^3+74*x^2+91*x+6", "y^2=12*x^6+64*x^5+54*x^4+35*x^3+47*x^2+15*x+34", "y^2=93*x^6+x^5+35*x^4+95*x^3+87*x^2+59*x+24", "y^2=31*x^6+68*x^5+51*x^4+58*x^3+12*x^2+33*x+19", "y^2=54*x^6+40*x^5+22*x^4+4*x^3+51*x^2+46*x+87", "y^2=63*x^6+12*x^5+78*x^4+85*x^3+18*x^2+28*x+60", "y^2=40*x^6+82*x^5+46*x^4+13*x^3+2*x^2+21*x+28", "y^2=92*x^6+74*x^5+18*x^4+3*x^3+24*x^2+56*x+48", "y^2=15*x^6+40*x^5+65*x^4+8*x^3+8*x^2+51*x+6", "y^2=47*x^6+80*x^5+45*x^4+63*x^3+75*x^2+86*x+1", "y^2=46*x^6+23*x^5+80*x^4+57*x^3+36*x^2+37*x+18", "y^2=9*x^6+49*x^5+44*x^4+8*x^3+39*x^2+95*x+5", "y^2=50*x^6+87*x^5+10*x^4+43*x^3+53*x^2+16*x+58", "y^2=44*x^6+64*x^5+75*x^4+94*x^3+21*x^2+38*x+74", "y^2=82*x^6+17*x^5+41*x^4+8*x^3+66*x^2+81*x+14", "y^2=5*x^6+26*x^5+95*x^4+61*x^3+34*x^2+96*x+23", "y^2=94*x^6+59*x^5+41*x^4+25*x^3+92*x^2+24*x+14", "y^2=51*x^6+47*x^5+90*x^4+42*x^3+72*x^2+49*x+2", "y^2=70*x^6+26*x^5+47*x^4+39*x^3+53*x^2+78*x+5", "y^2=95*x^6+36*x^5+83*x^4+75*x^3+76*x^2+20*x+60", "y^2=55*x^6+68*x^5+17*x^4+24*x^3+83*x^2+27*x+13", "y^2=92*x^6+6*x^5+44*x^4+17*x^3+28*x^2+59*x+70", "y^2=64*x^6+61*x^5+42*x^4+73*x^3+6*x^2+58*x+93", "y^2=70*x^6+91*x^5+32*x^4+31*x^3+6*x^2+55*x+35", "y^2=16*x^6+45*x^5+54*x^4+8*x^3+36*x^2+65*x+67", "y^2=88*x^6+90*x^5+6*x^4+42*x^3+20*x^2+39*x+21", "y^2=21*x^6+37*x^5+10*x^4+47*x^3+31*x^2+50*x+7", "y^2=84*x^6+59*x^5+88*x^4+59*x^3+47*x^2+46*x+25", "y^2=44*x^6+31*x^5+40*x^4+88*x^3+54*x^2+92*x+21", "y^2=32*x^6+13*x^5+68*x^4+39*x^3+35*x^2+50*x+74", "y^2=9*x^6+77*x^5+72*x^4+50*x^3+66*x^2+70*x+67", "y^2=39*x^6+15*x^5+69*x^4+69*x^3+24*x^2+43*x+94", "y^2=39*x^6+9*x^5+54*x^4+58*x^3+86*x^2+73*x+68", "y^2=55*x^6+31*x^5+37*x^4+71*x^3+50*x^2+30*x+76", "y^2=13*x^6+35*x^5+70*x^4+53*x^3+80*x^2+76*x+62", "y^2=27*x^6+10*x^5+x^4+80*x^3+72*x^2+79*x+95", "y^2=55*x^6+23*x^5+57*x^4+6*x^3+50*x+39", "y^2=61*x^6+87*x^5+74*x^4+2*x^3+71*x^2+31*x+92", "y^2=44*x^6+37*x^5+72*x^4+40*x^3+39*x^2+64*x+25", "y^2=33*x^6+96*x^5+6*x^4+49*x^3+26*x^2+61*x+32", "y^2=27*x^5+88*x^4+70*x^3+85*x^2+66*x+30", "y^2=64*x^6+91*x^5+2*x^4+57*x^3+96*x^2+5*x+46", "y^2=19*x^6+50*x^5+85*x^4+24*x^3+22*x+82"], "dim1_distinct": 2, "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, "endomorphism_ring_count": 12, "g": 2, "galois_groups": ["2T1", "2T1"], "geom_dim1_distinct": 2, "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": 4, "geometric_extension_degree": 1, "geometric_galois_groups": ["2T1", "2T1"], "geometric_number_fields": ["2.0.43.1", "2.0.24.1"], "geometric_splitting_field": "4.0.1065024.1", "geometric_splitting_polynomials": [[31, -34, 35, -2, 1]], "group_structure_count": 2, "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 84, "is_cyclic": false, "is_geometrically_simple": false, "is_geometrically_squarefree": true, "is_primitive": true, "is_simple": false, "is_squarefree": true, "is_supersingular": false, "jacobian_count": 84, "label": "2.97.b_hk", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 2, "newton_coelevation": 2, "newton_elevation": 0, "noncyclic_primes": [2], "number_fields": ["2.0.43.1", "2.0.24.1"], "p": 97, "p_rank": 2, "p_rank_deficit": 0, "poly": [1, 1, 192, 97, 9409], "poly_str": "1 1 192 97 9409 ", "primitive_models": [], "q": 97, "real_poly": [1, 1, -2], "simple_distinct": ["1.97.ab", "1.97.c"], "simple_factors": ["1.97.abA", "1.97.cA"], "simple_multiplicities": [1, 1], "singular_primes": ["3,4*V+10", "2,2*F-V-3"], "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "4.0.1065024.1", "splitting_polynomials": [[31, -34, 35, -2, 1]], "twist_count": 4, "twists": [["2.97.ad_ho", "2.9409.ot_dece", 2], ["2.97.ab_hk", "2.9409.ot_dece", 2], ["2.97.d_ho", "2.9409.ot_dece", 2]], "weak_equivalence_count": 15, "zfv_index": 108, "zfv_index_factorization": [[2, 2], [3, 3]], "zfv_is_bass": false, "zfv_is_maximal": false, "zfv_plus_index": 1, "zfv_plus_index_factorization": [], "zfv_plus_norm": 148608, "zfv_singular_count": 4, "zfv_singular_primes": ["3,4*V+10", "2,2*F-V-3"]}