# Stored data for abelian variety isogeny class 2.71.q_hi, downloaded from the LMFDB on 17 March 2026.
{"abvar_count": 6384, "abvar_counts": [6384, 26046720, 127523266416, 645862387322880, 3255274178298421104, 16409698768295003808000, 82721192981326123950895344, 416997601490216416471020011520, 2102085049223391746128728490396656, 10596610566931475348674996028262048000], "abvar_counts_str": "6384 26046720 127523266416 645862387322880 3255274178298421104 16409698768295003808000 82721192981326123950895344 416997601490216416471020011520 2102085049223391746128728490396656 10596610566931475348674996028262048000 ", "angle_corank": 0, "angle_rank": 2, "angles": [0.576280895962489, 0.752241693036309], "center_dim": 4, "cohen_macaulay_max": 3, "curve_count": 88, "curve_counts": [88, 5166, 356296, 25415966, 1804246328, 128100409038, 9095118210728, 645753497755966, 45848501396634136, 3255243548103817326], "curve_counts_str": "88 5166 356296 25415966 1804246328 128100409038 9095118210728 645753497755966 45848501396634136 3255243548103817326 ", "curves": ["y^2=25*x^6+22*x^5+3*x^4+13*x^3+55*x^2+45*x+49", "y^2=9*x^6+16*x^5+29*x^4+29*x^3+64*x^2+32*x+3", "y^2=26*x^6+30*x^5+49*x^4+17*x^3+10*x^2+68*x+24", "y^2=64*x^6+69*x^5+50*x^4+55*x^3+30*x^2+22*x+32", "y^2=3*x^6+x^5+54*x^4+64*x^3+60*x^2+51*x+65", "y^2=44*x^6+43*x^5+43*x^4+49*x^3+43*x^2+43*x+44", "y^2=25*x^6+61*x^5+7*x^4+55*x^3+7*x^2+61*x+25", "y^2=55*x^6+64*x^5+31*x^4+27*x^3+14*x^2+21*x+17", "y^2=38*x^6+47*x^5+70*x^4+26*x^3+7*x^2+21*x+68", "y^2=67*x^6+22*x^5+28*x^3+22*x+67", "y^2=21*x^6+15*x^5+36*x^4+30*x^3+43*x^2+46*x+15", "y^2=66*x^6+26*x^5+9*x^4+62*x^3+3*x^2+10*x+64", "y^2=13*x^6+59*x^5+25*x^4+52*x^3+36*x^2+4*x+14", "y^2=40*x^6+67*x^5+46*x^4+62*x^3+29*x^2+31*x+66", "y^2=66*x^6+63*x^5+37*x^4+65*x^3+30*x^2+66*x+44", "y^2=55*x^6+20*x^5+5*x^4+44*x^3+5*x^2+20*x+55", "y^2=18*x^6+69*x^5+18*x^4+63*x^3+54*x^2+38*x+31", "y^2=36*x^6+16*x^5+59*x^4+51*x^3+49*x^2+65*x+23", "y^2=9*x^6+64*x^5+65*x^4+55*x^3+30*x^2+37*x+22", "y^2=56*x^6+37*x^5+x^4+5*x^3+55*x^2+x+60", "y^2=57*x^6+36*x^5+36*x^4+7*x^3+10*x^2+11", "y^2=37*x^6+33*x^5+28*x^4+15*x^3+12*x^2+18*x+25", "y^2=7*x^6+25*x^5+30*x^4+58*x^3+30*x^2+25*x+7", "y^2=54*x^6+25*x^5+46*x^4+31*x^3+x^2+28*x+35", "y^2=x^6+12*x^5+34*x^4+23*x^3+2*x^2+53*x+62", "y^2=27*x^6+48*x^5+62*x^4+52*x^3+62*x^2+48*x+27", "y^2=9*x^6+56*x^5+35*x^4+57*x^3+27*x^2+2*x+30", "y^2=2*x^6+14*x^5+58*x^4+24*x^3+3*x^2+52*x+49", "y^2=50*x^6+3*x^5+33*x^4+70*x^3+7*x^2+33*x+31", "y^2=50*x^5+24*x^4+43*x^3+19*x^2+64*x+64", "y^2=44*x^6+9*x^5+60*x^4+42*x^3+60*x^2+9*x+44", "y^2=61*x^6+23*x^5+56*x^4+12*x^3+42*x^2+2*x+22", "y^2=x^6+15*x^5+63*x^4+44*x^3+30*x^2+54*x+51", "y^2=14*x^6+20*x^5+67*x^4+57*x^3+14*x^2+10*x+55", "y^2=59*x^6+25*x^5+47*x^4+13*x^3+2*x^2+45*x", "y^2=57*x^6+62*x^5+20*x^4+39*x^3+18*x^2+66*x+48", "y^2=26*x^6+4*x^5+10*x^4+27*x^3+25*x^2+4*x+60", "y^2=44*x^6+40*x^5+15*x^4+36*x^3+68*x^2+32*x+30", "y^2=57*x^6+10*x^5+35*x^4+47*x^3+10*x^2+64*x+25", "y^2=8*x^6+53*x^5+57*x^4+39*x^3+22*x^2+22*x+30", "y^2=42*x^6+15*x^5+20*x^4+14*x^3+34*x^2+26*x+6", "y^2=9*x^6+56*x^5+69*x^4+52*x^3+45*x^2+33*x+10", "y^2=26*x^6+24*x^5+21*x^4+35*x^3+64*x^2+35*x+53", "y^2=2*x^6+20*x^5+24*x^4+58*x^3+21*x^2+33*x+66", "y^2=16*x^6+63*x^5+37*x^4+20*x^3+12*x^2+69*x+36", "y^2=16*x^6+19*x^5+3*x^4+35*x^3+32*x^2+15*x+18", "y^2=41*x^6+54*x^5+66*x^4+4*x^3+39*x^2+70*x+12", "y^2=59*x^6+31*x^5+32*x^4+9*x^3+31*x^2+9*x+23", "y^2=61*x^6+51*x^5+33*x^4+48*x^3+8*x^2+37*x+12", "y^2=42*x^6+46*x^5+42*x^4+52*x^3+19*x^2+38*x+39", "y^2=26*x^6+41*x^5+66*x^4+19*x^3+28*x^2+61*x+9", "y^2=50*x^6+67*x^5+66*x^4+47*x^3+66*x^2+67*x+50", "y^2=52*x^6+61*x^5+8*x^4+37*x^3+31*x^2+14*x+11", "y^2=22*x^6+9*x^5+5*x^4+2*x^3+59*x^2+36*x+37", "y^2=60*x^6+22*x^5+25*x^4+23*x^3+2*x^2+67*x+20", "y^2=23*x^6+13*x^5+54*x^4+43*x^3+54*x^2+13*x+23", "y^2=14*x^6+59*x^5+19*x^4+55*x^3+14*x^2+47*x+49", "y^2=64*x^6+38*x^5+21*x^4+10*x^3+22*x^2+57*x+60", "y^2=29*x^6+16*x^5+30*x^4+49*x^3+10*x^2+55*x+37", "y^2=30*x^6+6*x^5+67*x^4+34*x^3+4*x^2+34*x+54", "y^2=31*x^6+31*x^5+15*x^4+x^3+20*x^2+63*x+13", "y^2=65*x^6+10*x^5+25*x^4+42*x^3+25*x^2+10*x+65", "y^2=10*x^6+47*x^5+54*x^4+57*x^3+64*x^2+63*x+32", "y^2=4*x^6+65*x^5+5*x^4+69*x^3+11*x^2+13*x+9", "y^2=52*x^6+40*x^5+12*x^4+22*x^3+45*x^2+30*x+22", "y^2=35*x^6+47*x^5+54*x^4+54*x^3+12*x^2+33*x+63", "y^2=35*x^6+19*x^5+29*x^4+18*x^2+20*x+20", "y^2=4*x^6+25*x^5+37*x^4+65*x^3+46*x^2+61*x+11", "y^2=45*x^6+57*x^5+52*x^4+67*x^3+52*x^2+57*x+45", "y^2=33*x^6+33*x^5+70*x^4+48*x^3+23*x^2+62*x+65", "y^2=57*x^6+6*x^5+60*x^4+33*x^3+13*x^2+30*x+32", "y^2=33*x^6+63*x^5+35*x^4+25*x^3+44*x^2+31*x+19", "y^2=3*x^6+27*x^5+31*x^4+58*x^3+37*x^2+31*x+64", "y^2=68*x^6+26*x^5+59*x^4+28*x^3+70*x^2+13*x+62", "y^2=9*x^6+40*x^5+39*x^4+62*x^2+67*x+32", "y^2=64*x^6+60*x^5+50*x^4+60*x^3+64*x^2+20*x+4", "y^2=36*x^6+15*x^5+36*x^4+35*x^3+49*x^2+31*x+63", "y^2=67*x^6+55*x^5+52*x^4+30*x^3+52*x^2+55*x+67", "y^2=54*x^6+62*x^5+22*x^4+54*x^3+67*x^2+3*x+57", "y^2=61*x^6+70*x^4+17*x^3+69*x^2+60*x+27", "y^2=40*x^6+33*x^5+53*x^4+35*x^3+69*x^2+7*x+44", "y^2=61*x^6+41*x^5+34*x^4+13*x^3+47*x^2+59*x+18", "y^2=50*x^6+17*x^5+58*x^4+51*x^3+58*x^2+17*x+50", "y^2=32*x^6+24*x^5+35*x^4+28*x^3+26*x^2+2*x+27", "y^2=70*x^6+17*x^5+12*x^4+60*x^3+23*x^2+33*x+53", "y^2=5*x^6+49*x^5+51*x^4+4*x^3+64*x^2+51*x+32", "y^2=56*x^6+38*x^5+68*x^4+3*x^3+55*x^2+8*x+28", "y^2=29*x^6+41*x^5+64*x^4+24*x^3+63*x^2+34", "y^2=38*x^6+59*x^5+33*x^4+3*x^3+39*x^2+29*x+16", "y^2=13*x^6+60*x^5+61*x^4+32*x^3+65*x^2+61*x+46", "y^2=21*x^6+38*x^5+10*x^4+9*x^3+69*x^2+12*x+19", "y^2=10*x^6+65*x^5+37*x^4+57*x^3+68*x^2+19*x+41", "y^2=61*x^6+70*x^5+42*x^4+3*x^3+58*x^2+64*x+3", "y^2=24*x^6+3*x^5+38*x^4+12*x^3+9*x+26", "y^2=37*x^6+52*x^5+9*x^4+52*x^2+49*x+17", "y^2=68*x^6+69*x^5+23*x^4+47*x^3+25*x^2+8*x+53", "y^2=8*x^6+66*x^5+50*x^4+30*x^3+33*x^2+2*x+4", "y^2=60*x^6+8*x^5+12*x^4+66*x^2+50*x+23", "y^2=54*x^6+38*x^5+32*x^4+42*x^3+52*x^2+4*x+9", "y^2=32*x^6+16*x^5+15*x^4+15*x^3+61*x+46", "y^2=57*x^6+11*x^5+33*x^4+2*x^3+2*x^2+68*x+58", "y^2=63*x^6+25*x^5+44*x^4+25*x^3+8*x^2+31*x+22", "y^2=40*x^6+17*x^5+29*x^3+17*x+40", "y^2=25*x^6+2*x^5+38*x^4+39*x^3+43*x^2+18*x+36", "y^2=21*x^6+68*x^5+44*x^4+23*x^3+16*x^2+46*x+15", "y^2=14*x^6+38*x^5+63*x^4+38*x^3+35*x^2+45*x+57", "y^2=54*x^6+53*x^5+43*x^4+11*x^3+35*x^2+44*x+46", "y^2=32*x^6+5*x^5+27*x^4+9*x^3+2*x^2+16*x+16", "y^2=58*x^6+24*x^4+21*x^3+44*x^2+11*x+25", "y^2=30*x^6+52*x^5+35*x^4+17*x^3+34*x^2+62*x+60", "y^2=16*x^6+10*x^5+29*x^4+2*x^3+16*x^2+36*x+31", "y^2=27*x^6+19*x^5+54*x^4+54*x^2+19*x+27", "y^2=8*x^6+67*x^5+8*x^4+70*x^3+28*x^2+19*x+18", "y^2=54*x^6+7*x^5+31*x^4+22*x^3+31*x^2+7*x+54", "y^2=46*x^6+52*x^5+26*x^4+23*x^3+45*x^2+46*x+65", "y^2=42*x^6+24*x^5+49*x^4+58*x^3+43*x^2+60*x+11", "y^2=33*x^6+34*x^5+28*x^4+27*x^3+52*x^2+58*x+17", "y^2=58*x^6+69*x^5+40*x^4+66*x^3+27*x^2+70*x+32", "y^2=8*x^6+21*x^5+54*x^4+14*x^3+20*x^2+47*x+3", "y^2=48*x^6+19*x^4+55*x^3+19*x^2+48", "y^2=66*x^6+48*x^5+19*x^4+x^3+39*x^2+68*x+14", "y^2=12*x^6+49*x^5+41*x^4+13*x^3+52*x^2+63*x+8", "y^2=69*x^6+51*x^5+16*x^4+28*x^3+12*x^2+59*x+28", "y^2=54*x^6+37*x^5+27*x^4+20*x^3+x^2+x+38", "y^2=3*x^6+15*x^5+7*x^4+52*x^3+3*x^2+44*x+5", "y^2=10*x^6+20*x^5+23*x^4+47*x^3+7*x^2+70*x+13", "y^2=57*x^6+23*x^5+43*x^4+12*x^3+36*x^2+70*x+4", "y^2=x^6+5*x^5+2*x^4+11*x^3+2*x^2+5*x+1", "y^2=45*x^6+47*x^5+27*x^4+66*x^3+56*x^2+27*x+64", "y^2=44*x^6+59*x^5+47*x^4+2*x^3+53*x^2+42*x+30", "y^2=45*x^6+42*x^5+16*x^4+62*x^3+11*x^2+11*x+31", "y^2=67*x^6+62*x^5+8*x^4+6*x^3+6*x^2+38*x+51", "y^2=51*x^6+41*x^5+45*x^4+22*x^3+23*x^2+31*x+43", "y^2=32*x^6+15*x^5+36*x^4+39*x^3+7*x^2+64*x+32", "y^2=60*x^6+5*x^5+39*x^4+13*x^3+15*x^2+42*x+59", "y^2=58*x^6+59*x^5+63*x^4+14*x^3+24*x^2+x+38", "y^2=32*x^6+68*x^5+3*x^3+52*x+48", "y^2=5*x^6+15*x^5+62*x^4+32*x^3+7*x^2+59*x+35", "y^2=17*x^6+65*x^5+26*x^4+21*x^3+59*x^2+21*x+35", "y^2=38*x^6+57*x^5+41*x^4+37*x^3+63*x^2+47*x+1", "y^2=36*x^6+68*x^5+56*x^4+61*x^3+14*x^2+53*x+67", "y^2=63*x^6+68*x^5+59*x^4+47*x^3+22*x^2+53*x+25", "y^2=12*x^6+18*x^5+59*x^4+3*x^3+21*x^2+61*x+58", "y^2=4*x^6+66*x^5+22*x^4+32*x^3+29*x^2+64*x+58", "y^2=66*x^6+47*x^5+2*x^4+51*x^3+16*x^2+27*x+49", "y^2=4*x^6+55*x^5+66*x^4+11*x^3+12*x^2+40*x+18", "y^2=48*x^6+55*x^5+67*x^4+67*x^3+12*x^2+30*x+7", "y^2=17*x^6+54*x^5+56*x^4+25*x^3+17*x^2+58*x+61", "y^2=59*x^6+58*x^5+27*x^4+69*x^3+10*x^2+25*x+58", "y^2=42*x^6+32*x^5+55*x^4+66*x^3+17*x^2+19*x+61", "y^2=58*x^6+28*x^5+8*x^4+48*x^3+27*x^2+48*x+22", "y^2=42*x^6+22*x^5+23*x^4+60*x^3+44*x^2+40*x+6", "y^2=61*x^6+10*x^5+24*x^4+70*x^3+8*x^2+9*x+68", "y^2=51*x^6+13*x^5+59*x^4+29*x^3+61*x^2+44*x+31", "y^2=26*x^5+20*x^4+41*x^3+20*x^2+26*x", "y^2=13*x^6+47*x^5+6*x^4+3*x^3+46*x^2+8*x+60", "y^2=46*x^6+70*x^5+63*x^4+32*x^3+41*x^2+33*x+12", "y^2=25*x^6+46*x^5+48*x^4+7*x^3+41*x^2+45*x+15", "y^2=57*x^6+51*x^5+8*x^4+27*x^3+43*x^2+63*x+58", "y^2=54*x^6+70*x^5+40*x^4+35*x^3+40*x^2+70*x+54", "y^2=40*x^6+17*x^5+31*x^4+62*x^3+31*x^2+17*x+40", "y^2=57*x^6+4*x^5+41*x^4+48*x^3+33*x^2+2*x+29", "y^2=20*x^6+3*x^5+40*x^4+2*x^3+37*x^2+24*x+6", "y^2=x^6+53*x^5+37*x^4+42*x^3+33*x+8", "y^2=4*x^6+43*x^5+7*x^4+68*x^3+59*x^2+32*x+1", "y^2=29*x^6+23*x^5+57*x^4+32*x^3+50*x^2+44*x", "y^2=2*x^6+53*x^5+68*x^4+28*x^3+44*x^2+49*x+52", "y^2=12*x^6+25*x^5+25*x^4+6*x^3+25*x^2+25*x+12", "y^2=42*x^6+14*x^5+52*x^4+39*x^3+52*x^2+14*x+42", "y^2=68*x^6+48*x^5+31*x^4+9*x^3+14*x^2+57*x+17", "y^2=11*x^6+2*x^5+20*x^4+32*x^3+38*x^2+62*x+64", "y^2=16*x^6+63*x^5+60*x^4+x^3+42*x^2+58*x+46", "y^2=14*x^6+17*x^5+63*x^4+4*x^3+62*x^2+70*x+1", "y^2=59*x^6+11*x^5+19*x^4+38*x^3+14*x^2+64*x+57", "y^2=44*x^6+54*x^5+30*x^4+54*x^3+30*x^2+54*x+44", "y^2=8*x^6+34*x^5+3*x^4+70*x^3+64*x^2+40", "y^2=31*x^6+61*x^5+65*x^4+64*x^3+27*x^2+48*x+63", "y^2=31*x^6+30*x^5+36*x^4+38*x^3+50*x^2+23*x+15", "y^2=28*x^6+31*x^5+26*x^4+43*x^3+17*x^2+63*x+25", "y^2=6*x^6+57*x^5+68*x^4+68*x^3+68*x^2+57*x+6"], "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": 17, "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": ["2.0.67.1", "2.0.35.1"], "geometric_splitting_field": "4.0.5499025.1", "geometric_splitting_polynomials": [[64, 0, 51, 0, 1]], "group_structure_count": 5, "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 180, "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": 180, "label": "2.71.q_hi", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 2, "newton_coelevation": 2, "newton_elevation": 0, "noncyclic_primes": [2], "number_fields": ["2.0.67.1", "2.0.35.1"], "p": 71, "p_rank": 2, "p_rank_deficit": 0, "poly": [1, 16, 190, 1136, 5041], "poly_str": "1 16 190 1136 5041 ", "primitive_models": [], "q": 71, "real_poly": [1, 16, 48], "simple_distinct": ["1.71.e", "1.71.m"], "simple_factors": ["1.71.eA", "1.71.mA"], "simple_multiplicities": [1, 1], "singular_primes": ["2,-3*F-1"], "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "4.0.5499025.1", "splitting_polynomials": [[64, 0, 51, 0, 1]], "twist_count": 4, "twists": [["2.71.aq_hi", "2.5041.eu_ooc", 2], ["2.71.ai_dq", "2.5041.eu_ooc", 2], ["2.71.i_dq", "2.5041.eu_ooc", 2]], "weak_equivalence_count": 23, "zfv_index": 256, "zfv_index_factorization": [[2, 8]], "zfv_is_bass": false, "zfv_is_maximal": false, "zfv_plus_index": 1, "zfv_plus_index_factorization": [], "zfv_plus_norm": 37520, "zfv_singular_count": 2, "zfv_singular_primes": ["2,-3*F-1"]}