# Stored data for abelian variety isogeny class 2.97.c_hn, downloaded from the LMFDB on 17 July 2026.
{"abvar_count": 9801, "abvar_counts": [9801, 92217609, 832444563456, 7834170744744201, 73743212379134938761, 693845261818479274622976, 6528361763389406415354643401, 61425362796858069094800114140169, 577951263713244138994087010038185984, 5437943431480741037538460630963531904649], "abvar_counts_str": "9801 92217609 832444563456 7834170744744201 73743212379134938761 693845261818479274622976 6528361763389406415354643401 61425362796858069094800114140169 577951263713244138994087010038185984 5437943431480741037538460630963531904649 ", "angle_corank": 1, "angle_rank": 1, "angles": [0.516166685643487, 0.516166685643487], "center_dim": 2, "curve_count": 100, "curve_counts": [100, 9796, 912094, 88492420, 8587433380, 832975487422, 80798271962788, 7837433269090564, 760231060193838238, 73742412719506333636], "curve_counts_str": "100 9796 912094 88492420 8587433380 832975487422 80798271962788 7837433269090564 760231060193838238 73742412719506333636 ", "curves": ["y^2=40*x^6+40*x^5+18*x^4+18*x^3+51*x^2+60*x+87", "y^2=17*x^6+2*x^5+35*x^4+18*x^3+72*x^2+3*x+58", "y^2=51*x^6+48*x^5+41*x^4+79*x^3+12*x^2+65*x+33", "y^2=74*x^6+10*x^5+21*x^4+19*x^3+92*x^2+11*x+50", "y^2=x^6+62*x^3+96", "y^2=75*x^6+48*x^5+82*x^4+30*x^3+87*x^2+86*x+33", "y^2=79*x^6+39*x^5+37*x^4+73*x^3+56*x^2+87*x+33", "y^2=28*x^6+80*x^5+9*x^4+3*x^3+12*x^2+33*x+50", "y^2=30*x^6+33*x^4+67*x^3+25*x^2+70*x+30", "y^2=62*x^6+13*x^5+22*x^4+41*x^3+84*x^2+x+17", "y^2=41*x^6+17*x^5+76*x^4+79*x^3+3*x^2+29*x+34", "y^2=53*x^6+50*x^5+81*x^4+63*x^3+31*x^2+96*x+24", "y^2=57*x^6+47*x^5+96*x^4+28*x^3+40*x^2+68*x+87", "y^2=42*x^6+32*x^5+75*x^4+96*x^3+82*x^2+62*x+45", "y^2=5*x^6+23*x^5+75*x^4+86*x^3+89*x^2+80*x+60", "y^2=75*x^6+92*x^5+9*x^4+44*x^3+14*x^2+44*x+90", "y^2=74*x^6+12*x^5+88*x^4+14*x^3+88*x^2+31*x+19", "y^2=96*x^6+6*x^5+76*x^4+96*x^3+90*x^2+67*x+55", "y^2=72*x^6+47*x^5+93*x^4+61*x^3+46*x^2+93*x+20", "y^2=95*x^6+60*x^5+29*x^4+5*x^3+42*x^2+39*x+61", "y^2=8*x^6+88*x^5+36*x^4+15*x^3+70*x^2+x+33", "y^2=75*x^6+2*x^5+84*x^4+84*x^3+9*x^2+71*x+77", "y^2=55*x^6+53*x^5+18*x^4+95*x^3+12*x^2+2*x+63", "y^2=6*x^6+92*x^5+15*x^4+79*x^3+96*x^2+36*x+15", "y^2=65*x^6+53*x^5+25*x^4+86*x^3+34*x^2+88*x+86", "y^2=6*x^6+42*x^5+59*x^4+62*x^3+53*x^2+14*x+13", "y^2=32*x^6+5*x^5+36*x^4+85*x^3+43*x^2+16*x+76", "y^2=35*x^6+48*x^5+85*x^4+90*x^3+47*x^2+46*x+49", "y^2=15*x^6+92*x^5+37*x^4+29*x^3+59*x^2+5*x+39", "y^2=33*x^6+9*x^5+60*x^4+34*x^3+13*x^2+6*x+8", "y^2=3*x^6+41*x^5+29*x^4+68*x^3+2*x^2+77*x+77", "y^2=94*x^6+28*x^5+27*x^4+78*x^3+70*x^2+61*x+56", "y^2=88*x^6+47*x^5+40*x^4+84*x^3+41*x^2+96*x+86", "y^2=33*x^6+12*x^5+73*x^4+15*x^3+20*x^2+82*x+54", "y^2=15*x^6+63*x^4+91*x^3+63*x^2+15", "y^2=65*x^6+48*x^5+93*x^4+33*x^3+93*x^2+48*x+65", "y^2=78*x^6+24*x^5+38*x^4+42*x^3+10*x^2+64*x+19", "y^2=57*x^6+37*x^5+44*x^4+25*x^3+71*x^2+73*x+6", "y^2=43*x^6+93*x^5+83*x^4+9*x^3+57*x^2+x+94", "y^2=6*x^6+48*x^5+74*x^4+86*x^3+24*x^2+68*x+12", "y^2=62*x^6+25*x^5+44*x^4+27*x^3+44*x^2+86*x+38", "y^2=22*x^6+88*x^5+8*x^4+50*x^3+44*x^2+43*x+47", "y^2=80*x^6+3*x^5+43*x^4+91*x^3+49*x^2+85*x+82", "y^2=51*x^6+96*x^5+56*x^4+13*x^3+91*x^2+52*x+13", "y^2=38*x^6+70*x^5+58*x^4+23*x^3+19*x^2+74*x+90", "y^2=2*x^6+6*x^5+60*x^4+26*x^3+25*x^2+53*x+1", "y^2=69*x^6+41*x^5+62*x^4+4*x^3+72*x^2+43*x+53", "y^2=69*x^6+40*x^5+48*x^4+68*x^3+6*x^2+37*x+78", "y^2=96*x^6+52*x^5+70*x^4+42*x^3+25*x^2+72*x+57", "y^2=13*x^6+31*x^5+91*x^4+51*x^3+60*x^2+69*x+30", "y^2=52*x^6+96*x^5+75*x^4+64*x^3+13*x^2+28*x+41", "y^2=20*x^6+24*x^4+35*x^3+46*x^2+61*x+24", "y^2=52*x^6+90*x^5+46*x^4+63*x^3+49*x^2+60*x+75", "y^2=25*x^6+7*x^5+50*x^4+27*x^3+50*x^2+30*x+33", "y^2=81*x^6+45*x^5+48*x^4+89*x^3+83*x^2+49*x+35", "y^2=39*x^6+31*x^5+46*x^4+44*x^3+52*x^2+53*x+80", "y^2=x^6+x^3+75", "y^2=66*x^6+93*x^5+26*x^4+80*x^3+64*x^2+47*x+51", "y^2=74*x^6+31*x^5+94*x^4+57*x^3+89*x^2+63*x+74", "y^2=36*x^6+83*x^5+2*x^4+19*x^3+94*x^2+82*x+27", "y^2=88*x^6+9*x^5+x^4+11*x^3+93*x^2+61", "y^2=20*x^6+63*x^5+40*x^4+19*x^3+21*x^2+63*x+75", "y^2=31*x^6+34*x^5+67*x^4+24*x^3+58*x^2+40*x+36", "y^2=10*x^6+59*x^5+75*x^4+23*x^3+11*x^2+12*x+85", "y^2=14*x^6+13*x^5+12*x^4+29*x^3+9*x^2+74*x+15", "y^2=76*x^6+6*x^5+81*x^4+73*x^3+34*x^2+8*x+39", "y^2=9*x^6+59*x^5+23*x^4+41*x^3+41*x^2+81*x+41", "y^2=71*x^6+46*x^5+73*x^4+14*x^3+25*x^2+31*x+48", "y^2=84*x^6+40*x^5+78*x^4+65*x^3+42*x^2+67*x+52", "y^2=81*x^6+4*x^5+69*x^4+48*x^3+5*x^2+61*x+2", "y^2=30*x^6+79*x^5+56*x^4+71*x^3+8*x^2+40*x+48", "y^2=30*x^6+84*x^5+51*x^4+7*x^3+38*x^2+27*x+12", "y^2=89*x^6+18*x^5+79*x^4+56*x^3+12*x^2+8*x+85", "y^2=38*x^6+50*x^5+90*x^4+48*x^3+68*x^2+x+83", "y^2=84*x^6+59*x^5+74*x^4+32*x^3+83*x^2+60*x+56", "y^2=74*x^6+91*x^5+88*x^4+88*x^3+54*x^2+75*x+21", "y^2=59*x^6+43*x^5+38*x^4+89*x^3+23*x^2+22*x+92", "y^2=52*x^6+8*x^5+86*x^4+43*x^3+72*x^2+60*x+61", "y^2=54*x^6+33*x^5+17*x^4+95*x^3+58*x^2+93*x+93", "y^2=76*x^6+18*x^5+94*x^4+73*x^3+55*x^2+22*x+57", "y^2=20*x^6+43*x^5+72*x^4+22*x^3+28*x^2+50*x+71", "y^2=67*x^6+51*x^5+95*x^4+63*x^3+31*x^2+55*x+45", "y^2=18*x^6+60*x^5+50*x^4+32*x^3+33*x^2+37*x+89", "y^2=96*x^6+63*x^5+42*x^4+95*x^3+67*x^2+46*x+8", "y^2=x^6+x^3+12", "y^2=77*x^6+48*x^5+52*x^4+22*x^3+56*x^2+66*x+45", "y^2=3*x^6+45*x^5+65*x^4+77*x^3+78*x^2+17*x+48", "y^2=83*x^6+78*x^5+94*x^4+86*x^3+84*x^2+43*x+26", "y^2=86*x^6+50*x^5+38*x^4+39*x^3+23*x^2+47*x+48", "y^2=x^6+x^3+85", "y^2=70*x^6+21*x^5+44*x^4+87*x^3+43*x^2+17*x+1", "y^2=72*x^6+67*x^5+9*x^4+55*x^3+18*x^2+74*x+19"], "dim1_distinct": 1, "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, "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": 2, "geometric_extension_degree": 1, "geometric_galois_groups": ["2T1"], "geometric_number_fields": ["2.0.43.1"], "geometric_splitting_field": "2.0.43.1", "geometric_splitting_polynomials": [[11, -1, 1]], "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 92, "is_cyclic": false, "is_geometrically_simple": false, "is_geometrically_squarefree": false, "is_primitive": true, "is_simple": false, "is_squarefree": false, "is_supersingular": false, "jacobian_count": 92, "label": "2.97.c_hn", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 6, "newton_coelevation": 2, "newton_elevation": 0, "noncyclic_primes": [3, 11], "number_fields": ["2.0.43.1"], "p": 97, "p_rank": 2, "p_rank_deficit": 0, "poly": [1, 2, 195, 194, 9409], "poly_str": "1 2 195 194 9409 ", "primitive_models": [], "q": 97, "real_poly": [1, 2, 1], "simple_distinct": ["1.97.b"], "simple_factors": ["1.97.bA", "1.97.bB"], "simple_multiplicities": [2], "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "2.0.43.1", "splitting_polynomials": [[11, -1, 1]], "twist_count": 6, "twists": [["2.97.ac_hn", "2.9409.ow_deyl", 2], ["2.97.a_hl", "2.9409.ow_deyl", 2], ["2.97.ab_ads", "2.912673.awi_eeqqg", 3], ["2.97.a_ahl", "2.88529281.accnu_brmvmjb", 4], ["2.97.b_ads", "2.832972004929.hqdqa_wmxqulcty", 6]]}