# Stored data for abelian variety isogeny class 2.97.u_if, downloaded from the LMFDB on 14 September 2026.
{"abvar_count": 11583, "abvar_counts": [11583, 88760529, 833922625536, 7834999206309561, 73743184710574607943, 693843858424311717298176, 6528361842677241622752532407, 61425364814360151176912766383529, 577951262148259255401338253162246144, 5437943431502101102569138029361779630049], "abvar_counts_str": "11583 88760529 833922625536 7834999206309561 73743184710574607943 693843858424311717298176 6528361842677241622752532407 61425364814360151176912766383529 577951262148259255401338253162246144 5437943431502101102569138029361779630049 ", "angle_corank": 0, "angle_rank": 2, "angles": [0.516166685643487, 0.915025864992196], "center_dim": 4, "cohen_macaulay_max": 3, "curve_count": 118, "curve_counts": [118, 9436, 913714, 88501780, 8587430158, 832973802622, 80798272944094, 7837433526509284, 760231058135273458, 73742412719795991436], "curve_counts_str": "118 9436 913714 88501780 8587430158 832973802622 80798272944094 7837433526509284 760231058135273458 73742412719795991436 ", "curves": ["y^2=72*x^6+91*x^5+75*x^4+7*x^3+17*x^2+66*x+6", "y^2=58*x^6+53*x^5+80*x^4+64*x^3+67*x^2+24*x+24", "y^2=10*x^6+58*x^5+70*x^4+36*x^3+70*x^2+58*x+10", "y^2=89*x^6+15*x^5+37*x^4+41*x^3+37*x^2+15*x+89", "y^2=18*x^6+28*x^5+58*x^4+7*x^3+58*x^2+28*x+18", "y^2=76*x^6+44*x^5+7*x^4+81*x^3+70*x^2+24*x+31", "y^2=33*x^6+75*x^5+76*x^4+3*x^3+75*x^2+49*x+94", "y^2=49*x^6+29*x^5+29*x^4+75*x^3+28*x^2+34*x+67", "y^2=32*x^6+75*x^5+37*x^4+25*x^3+15*x^2+85*x+86", "y^2=59*x^6+27*x^5+84*x^4+26*x^3+26*x^2+40*x+10", "y^2=25*x^6+76*x^5+38*x^3+5*x^2+60*x+60", "y^2=46*x^6+30*x^5+94*x^4+22*x^3+16*x^2+75*x+92", "y^2=10*x^6+15*x^5+93*x^4+53*x^3+93*x^2+15*x+10", "y^2=12*x^6+64*x^5+82*x^4+56*x^3+17*x^2+62*x+89", "y^2=93*x^6+14*x^5+81*x^4+24*x^3+3*x^2+69*x+50", "y^2=16*x^6+51*x^5+90*x^4+26*x^3+90*x^2+51*x+16", "y^2=72*x^6+10*x^5+65*x^4+2*x^3+21*x^2+34*x+45", "y^2=82*x^6+82*x^5+80*x^4+49*x^3+72*x^2+73", "y^2=18*x^6+30*x^5+72*x^4+59*x^3+29*x^2+45*x+45", "y^2=51*x^6+68*x^5+54*x^4+20*x^3+9*x^2+53*x+86", "y^2=62*x^6+42*x^5+25*x^4+92*x^3+25*x^2+42*x+62", "y^2=72*x^6+7*x^5+67*x^4+76*x^3+67*x^2+7*x+72", "y^2=8*x^6+53*x^5+93*x^4+2*x^3+15*x^2+91*x+48", "y^2=8*x^6+74*x^4+44*x^3+x^2+79*x+96", "y^2=80*x^6+26*x^5+69*x^4+9*x^3+69*x^2+26*x+80", "y^2=94*x^6+95*x^5+35*x^4+4*x^3+6*x^2+80*x+65", "y^2=22*x^6+77*x^4+57*x^3+17*x^2+95*x+49", "y^2=48*x^6+19*x^5+20*x^4+9*x^3+48*x^2+20*x+78", "y^2=51*x^6+73*x^5+43*x^4+43*x^3+38*x^2+41*x+91", "y^2=74*x^6+24*x^5+42*x^4+70*x^3+21*x^2+25*x+67", "y^2=60*x^6+21*x^5+62*x^4+27*x^3+25*x^2+32*x+37", "y^2=93*x^6+74*x^5+36*x^4+49*x^3+71*x^2+25*x+46", "y^2=49*x^6+11*x^5+85*x^4+33*x^3+31*x^2+33*x+41", "y^2=64*x^6+8*x^5+25*x^4+16*x^3+87*x^2+22", "y^2=75*x^6+70*x^5+76*x^4+57*x^3+76*x^2+70*x+75", "y^2=75*x^6+90*x^5+44*x^4+27*x^3+44*x^2+90*x+75", "y^2=69*x^6+29*x^5+56*x^4+83*x^3+67*x^2+52*x+81", "y^2=13*x^6+56*x^5+72*x^4+32*x^3+38*x^2+3*x+3", "y^2=21*x^6+52*x^5+26*x^4+24*x^3+89*x^2+71*x+81", "y^2=41*x^6+96*x^5+77*x^4+6*x^3+64*x^2+83*x+94", "y^2=12*x^6+41*x^5+11*x^4+26*x^3+55*x^2+39*x+88", "y^2=49*x^6+47*x^5+51*x^4+x^3+50*x^2+63*x+84", "y^2=58*x^6+86*x^5+25*x^4+13*x^3+12*x^2+19*x+41", "y^2=54*x^6+69*x^5+39*x^4+40*x^3+65*x^2+33*x+64", "y^2=2*x^6+14*x^5+37*x^4+44*x^3+73*x^2+54*x+84", "y^2=15*x^6+50*x^5+26*x^4+13*x^3+38*x^2+26*x+91", "y^2=43*x^6+46*x^5+69*x^4+73*x^3+56*x^2+52*x+92", "y^2=44*x^6+10*x^5+41*x^4+3*x^3+75*x^2+4*x+73", "y^2=88*x^6+29*x^5+94*x^4+48*x^3+55*x^2+22*x+88", "y^2=56*x^6+43*x^5+2*x^4+8*x^3+79*x^2+76*x+77", "y^2=34*x^6+29*x^5+48*x^4+48*x^3+49*x^2+80*x+28", "y^2=33*x^6+49*x^5+40*x^4+19*x^3+65*x^2+2*x+11", "y^2=58*x^6+85*x^5+5*x^4+7*x^3+2*x^2+78*x+70", "y^2=81*x^6+49*x^5+74*x^4+3*x^3+87*x^2+40*x+89", "y^2=58*x^6+59*x^5+5*x^4+9*x^3+91*x^2+73*x+87", "y^2=69*x^6+60*x^5+14*x^4+17*x^3+82*x^2+86*x+9", "y^2=26*x^6+57*x^5+55*x^4+65*x^3+30*x^2+57*x+31", "y^2=60*x^6+42*x^5+51*x^4+92*x^3+41*x^2+21*x+64", "y^2=53*x^6+2*x^5+7*x^4+65*x^3+77*x^2+18*x+70", "y^2=81*x^6+60*x^5+67*x^4+79*x^3+90*x^2+61*x+56", "y^2=31*x^6+14*x^5+68*x^4+47*x^3+80*x^2+58*x+10", "y^2=22*x^6+67*x^5+6*x^4+55*x^3+10*x^2+74*x+17", "y^2=38*x^6+11*x^5+28*x^4+x^3+95*x^2+6*x+87", "y^2=18*x^6+62*x^5+73*x^4+10*x^3+80*x^2+52*x+16", "y^2=16*x^6+74*x^5+69*x^4+49*x^3+69*x^2+74*x+16", "y^2=31*x^6+70*x^5+64*x^4+95*x^3+37*x^2+13*x+42", "y^2=77*x^6+50*x^5+32*x^4+19*x^3+32*x^2+74*x+92", "y^2=11*x^6+23*x^5+26*x^4+82*x^3+37*x^2+50*x+80", "y^2=x^6+x^5+32*x^4+49*x^3+41*x^2+62*x+43", "y^2=32*x^6+32*x^5+18*x^4+92*x^3+88*x^2+35*x+5", "y^2=46*x^6+x^5+14*x^4+78*x^3+47*x^2+46*x+26", "y^2=48*x^6+86*x^5+24*x^4+95*x^3+5*x^2+27*x+28", "y^2=24*x^6+4*x^5+87*x^4+46*x^2+89*x+16", "y^2=30*x^6+45*x^5+2*x^4+4*x^3+55*x^2+95*x+21", "y^2=12*x^6+4*x^5+69*x^4+40*x^3+69*x^2+4*x+12", "y^2=27*x^6+60*x^5+78*x^4+94*x^3+44*x^2+43*x+85", "y^2=9*x^6+41*x^5+78*x^4+48*x^3+78*x^2+41*x+9", "y^2=87*x^6+15*x^5+51*x^4+94*x^3+51*x^2+15*x+87", "y^2=74*x^6+14*x^5+72*x^4+73*x^3+24*x^2+68*x+66", "y^2=3*x^6+x^5+49*x^4+13*x^3+3*x^2+44", "y^2=35*x^6+47*x^5+11*x^4+32*x^3+65*x^2+13*x+90", "y^2=37*x^6+40*x^5+73*x^4+80*x^3+70*x^2+14*x+71", "y^2=78*x^6+84*x^5+26*x^4+73*x^3+52*x^2+51*x+3", "y^2=81*x^6+37*x^5+24*x^4+87*x^3+69*x^2+43*x+39", "y^2=94*x^6+11*x^5+19*x^4+4*x^3+32*x^2+78*x+33", "y^2=9*x^6+34*x^5+43*x^4+8*x^3+95*x^2+87*x+9", "y^2=56*x^6+54*x^5+15*x^4+65*x^3+13*x^2+81*x+31", "y^2=36*x^6+7*x^5+18*x^4+69*x^3+35*x^2+46*x+36", "y^2=6*x^6+9*x^5+74*x^4+6*x^3+25*x^2+57*x+51", "y^2=62*x^6+16*x^5+6*x^4+58*x^3+17*x^2+33*x+75", "y^2=68*x^6+71*x^5+79*x^4+65*x^3+87*x^2+63*x+60", "y^2=25*x^6+46*x^5+67*x^4+15*x^3+64*x^2+37*x+2", "y^2=47*x^6+9*x^5+38*x^4+15*x^3+38*x^2+9*x+47", "y^2=85*x^6+41*x^5+36*x^4+12*x^3+42*x^2+26*x+9", "y^2=32*x^6+49*x^5+73*x^4+41*x^3+74*x^2+33*x+95", "y^2=91*x^6+3*x^5+24*x^4+24*x^3+85*x^2+83*x+14", "y^2=43*x^6+89*x^5+65*x^4+56*x^3+44*x^2+18*x+42", "y^2=83*x^6+78*x^5+73*x^4+17*x^3+63*x^2+15*x+44", "y^2=12*x^6+74*x^5+48*x^4+2*x^3+42*x^2+87*x+18", "y^2=59*x^6+15*x^5+59*x^4+87*x^3+24*x^2+90*x+83", "y^2=62*x^6+96*x^5+7*x^4+53*x^3+41*x^2+34*x+59", "y^2=35*x^6+17*x^5+50*x^4+17*x^3+4*x^2+19*x+17", "y^2=12*x^6+48*x^5+59*x^4+18*x^3+47*x^2+13*x+85", "y^2=88*x^6+50*x^5+63*x^4+57*x^3+47*x^2+63*x+31", "y^2=39*x^6+38*x^5+64*x^4+74*x^3+64*x^2+38*x+39", "y^2=39*x^6+62*x^5+43*x^4+89*x^3+85*x^2+2*x+82", "y^2=12*x^6+33*x^5+38*x^4+54*x^3+76*x^2+95*x+11", "y^2=x^6+47*x^5+x^4+38*x^3+76*x^2+47*x+28", "y^2=41*x^6+62*x^5+44*x^4+21*x^3+35*x^2+50*x+68", "y^2=47*x^6+57*x^5+90*x^4+34*x^3+24*x^2+72*x+56", "y^2=89*x^6+81*x^5+24*x^4+49*x^3+60*x^2+74*x+49", "y^2=4*x^6+76*x^5+25*x^4+11*x^3+5*x^2+78*x+29", "y^2=8*x^6+80*x^5+91*x^4+10*x^3+2*x^2+6*x+72", "y^2=23*x^6+52*x^5+x^4+75*x^3+x^2+52*x+23", "y^2=77*x^6+82*x^5+63*x^4+60*x^3+95*x^2+85*x+65", "y^2=18*x^6+3*x^5+33*x^4+93*x^3+87*x^2+2*x+85", "y^2=8*x^6+84*x^5+62*x^4+34*x^3+75*x+95", "y^2=36*x^6+18*x^5+39*x^4+73*x^3+6*x^2+18*x+26", "y^2=28*x^6+16*x^5+71*x^4+72*x^3+73*x^2+64*x+61", "y^2=53*x^6+21*x^5+40*x^4+x^3+63*x^2+56*x+54", "y^2=46*x^6+22*x^5+x^4+83*x^3+9*x^2+58*x+9", "y^2=9*x^6+27*x^5+73*x^4+88*x^3+23*x^2+83*x+30", "y^2=83*x^6+26*x^5+2*x^4+82*x^3+2*x^2+26*x+83", "y^2=89*x^6+45*x^5+53*x^4+42*x^3+82*x^2+75*x+4", "y^2=26*x^6+77*x^5+89*x^3+63*x^2+26*x+49", "y^2=38*x^6+86*x^5+33*x^4+80*x^3+33*x^2+86*x+38", "y^2=10*x^6+73*x^5+86*x^4+24*x^3+8*x^2+61*x+88", "y^2=46*x^6+85*x^5+71*x^4+42*x^3+32*x^2+75*x+19", "y^2=86*x^6+52*x^5+15*x^4+5*x^3+15*x^2+52*x+86", "y^2=94*x^6+41*x^5+54*x^4+84*x^3+52*x^2+42*x+67", "y^2=16*x^6+11*x^5+39*x^4+9*x^3+33*x^2+54*x+65", "y^2=91*x^6+51*x^5+74*x^4+9*x^3+84*x^2+95*x+27"], "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": 24, "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", "2.0.3.1"], "geometric_splitting_field": "4.0.16641.1", "geometric_splitting_polynomials": [[121, -11, -10, -1, 1]], "group_structure_count": 5, "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 132, "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": 132, "label": "2.97.u_if", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 6, "newton_coelevation": 2, "newton_elevation": 0, "noncyclic_primes": [3], "number_fields": ["2.0.43.1", "2.0.3.1"], "p": 97, "p_rank": 2, "p_rank_deficit": 0, "poly": [1, 20, 213, 1940, 9409], "poly_str": "1 20 213 1940 9409 ", "primitive_models": [], "q": 97, "real_poly": [1, 20, 19], "simple_distinct": ["1.97.b", "1.97.t"], "simple_factors": ["1.97.bA", "1.97.tA"], "simple_multiplicities": [1, 1], "singular_primes": ["2,F^2-V+72", "3,-2*V-22"], "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "4.0.16641.1", "splitting_polynomials": [[121, -11, -10, -1, 1]], "twist_count": 12, "twists": [["2.97.au_if", "2.9409.ba_atvx", 2], ["2.97.as_gt", "2.9409.ba_atvx", 2], ["2.97.s_gt", "2.9409.ba_atvx", 2], ["2.97.an_gy", "2.912673.boa_ddxra", 3], ["2.97.ae_hh", "2.912673.boa_ddxra", 3], ["2.97.ap_ia", "2.832972004929.dyhia_ilrbbcqty", 6], ["2.97.ag_hr", "2.832972004929.dyhia_ilrbbcqty", 6], ["2.97.e_hh", "2.832972004929.dyhia_ilrbbcqty", 6], ["2.97.g_hr", "2.832972004929.dyhia_ilrbbcqty", 6], ["2.97.n_gy", "2.832972004929.dyhia_ilrbbcqty", 6], ["2.97.p_ia", "2.832972004929.dyhia_ilrbbcqty", 6]], "weak_equivalence_count": 40, "zfv_index": 2916, "zfv_index_factorization": [[2, 2], [3, 6]], "zfv_is_bass": false, "zfv_is_maximal": false, "zfv_plus_index": 1, "zfv_plus_index_factorization": [], "zfv_plus_norm": 10449, "zfv_singular_count": 4, "zfv_singular_primes": ["2,F^2-V+72", "3,-2*V-22"]}