Class |
r |
Atkin-Lehner |
Eigenvalues |
8085a
(1 curve) |
0 |
3+ 5+ 7+ 11- |
0 3+ 5+ 7+ 11- 3 0 6 |
Curve |
Equation |
t |
8085a1 |
[0,-1,1,-20351,-488734] |
1 |
|
8085b
(1 curve) |
0 |
3+ 5+ 7- 11+ |
0 3+ 5+ 7- 11+ 1 -4 2 |
Curve |
Equation |
t |
8085b1 |
[0,-1,1,-3201,-67873] |
1 |
|
8085c
(2 curves) |
0 |
3+ 5+ 7- 11+ |
0 3+ 5+ 7- 11+ 1 6 7 |
Curve |
Equation |
t |
8085c1 |
[0,-1,1,14719,-200719] |
1 |
8085c2 |
[0,-1,1,-174281,32066306] |
1 |
|
8085d
(1 curve) |
0 |
3+ 5+ 7- 11+ |
0 3+ 5+ 7- 11+ 4 5 -1 |
Curve |
Equation |
t |
8085d1 |
[0,-1,1,26689,-884458] |
1 |
|
8085e
(2 curves) |
0 |
3+ 5+ 7- 11+ |
1 3+ 5+ 7- 11+ 4 2 -4 |
Curve |
Equation |
t |
8085e1 |
[1,1,0,-193,-1112] |
2 |
8085e2 |
[1,1,0,-88,-2183] |
2 |
|
8085f
(4 curves) |
0 |
3+ 5+ 7- 11+ |
1 3+ 5+ 7- 11+ -6 -2 -4 |
Curve |
Equation |
t |
8085f1 |
[1,1,0,-154718,-1665033] |
2 |
8085f2 |
[1,1,0,-1762163,-898940832] |
4 |
8085f3 |
[1,1,0,-28175858,-57577447563] |
2 |
8085f4 |
[1,1,0,-1067588,-1613936337] |
2 |
|
8085g
(6 curves) |
0 |
3+ 5+ 7- 11+ |
-1 3+ 5+ 7- 11+ 2 -2 -4 |
Curve |
Equation |
t |
8085g1 |
[1,1,1,1714,7934618] |
2 |
8085g2 |
[1,1,1,-586531,169584344] |
4 |
8085g3 |
[1,1,1,-1246806,-283100196] |
2 |
8085g4 |
[1,1,1,-9338176,10979616248] |
4 |
8085g5 |
[1,1,1,-149410801,702882354698] |
2 |
8085g6 |
[1,1,1,-9291871,11093952554] |
2 |
|
8085h
(1 curve) |
0 |
3+ 5+ 7- 11+ |
2 3+ 5+ 7- 11+ 5 4 2 |
Curve |
Equation |
t |
8085h1 |
[0,-1,1,-16,27] |
1 |
|
8085i
(1 curve) |
0 |
3+ 5+ 7- 11+ |
-2 3+ 5+ 7- 11+ -3 4 2 |
Curve |
Equation |
t |
8085i1 |
[0,-1,1,-85486,9555342] |
1 |
|
8085j
(2 curves) |
1 |
3+ 5+ 7- 11- |
-2 3+ 5+ 7- 11- 6 7 5 |
Curve |
Equation |
t |
Generators |
8085j1 |
[0,-1,1,-438076,-130549434] |
1 |
[810:6737:1] |
8085j2 |
[0,-1,1,-1312726,10945050906] |
1 |
[14775:1793522:1] |
|
8085k
(2 curves) |
1 |
3+ 5- 7- 11+ |
0 3+ 5- 7- 11+ 4 -3 1 |
Curve |
Equation |
t |
Generators |
8085k1 |
[0,-1,1,-65,11801] |
1 |
[-23:24:1] |
8085k2 |
[0,-1,1,-41225,3235658] |
1 |
[124:122:1] |
|
8085l
(4 curves) |
0 |
3+ 5- 7- 11- |
1 3+ 5- 7- 11- 2 2 4 |
Curve |
Equation |
t |
8085l1 |
[1,1,0,-172,6259] |
2 |
8085l2 |
[1,1,0,-6297,188784] |
4 |
8085l3 |
[1,1,0,-9972,-61851] |
2 |
8085l4 |
[1,1,0,-100622,12243519] |
2 |
|
8085m
(1 curve) |
0 |
3+ 5- 7- 11- |
-2 3+ 5- 7- 11- 2 -1 7 |
Curve |
Equation |
t |
8085m1 |
[0,-1,1,-6190,-186012] |
1 |
|
8085n
(4 curves) |
1 |
3- 5+ 7- 11+ |
1 3- 5+ 7- 11+ 2 6 -4 |
Curve |
Equation |
t |
Generators |
8085n1 |
[1,0,1,-795884,273222821] |
2 |
[579:2278:1] |
8085n2 |
[1,0,1,-796129,273046127] |
4 |
[1:16499:1] |
8085n3 |
[1,0,1,-1014424,111333191] |
2 |
[10742:268339:8] |
8085n4 |
[1,0,1,-581754,423451627] |
2 |
[-577:24102:1] |
|
8085o
(1 curve) |
1 |
3- 5+ 7- 11+ |
-2 3- 5+ 7- 11+ 2 3 -1 |
Curve |
Equation |
t |
Generators |
8085o1 |
[0,1,1,-16,-2810] |
1 |
[37:220:1] |
|
8085p
(6 curves) |
0 |
3- 5+ 7- 11- |
-1 3- 5+ 7- 11- 2 6 4 |
Curve |
Equation |
t |
8085p1 |
[1,0,0,-12986,-570669] |
2 |
8085p2 |
[1,0,0,-13231,-548080] |
4 |
8085p3 |
[1,0,0,-42876,2766231] |
4 |
8085p4 |
[1,0,0,12494,-2415715] |
2 |
8085p5 |
[1,0,0,-649251,201293406] |
2 |
8085p6 |
[1,0,0,89179,16473540] |
2 |
|
8085q
(1 curve) |
1 |
3- 5- 7+ 11+ |
0 3- 5- 7+ 11+ -1 4 -2 |
Curve |
Equation |
t |
Generators |
8085q1 |
[0,1,1,-65,179] |
1 |
[3:4:1] |
|
8085r
(2 curves) |
1 |
3- 5- 7+ 11+ |
0 3- 5- 7+ 11+ -1 -6 -7 |
Curve |
Equation |
t |
Generators |
8085r1 |
[0,1,1,721215,67404089] |
3 |
[531:24502:1] |
8085r2 |
[0,1,1,-8539785,-10981663486] |
1 |
[179178:26573411:8] |
|
8085s
(1 curve) |
1 |
3- 5- 7+ 11+ |
2 3- 5- 7+ 11+ -5 -4 -2 |
Curve |
Equation |
t |
Generators |
8085s1 |
[0,1,1,-800,-7759] |
1 |
[-166:143:8] |
|
8085t
(1 curve) |
1 |
3- 5- 7+ 11+ |
-2 3- 5- 7+ 11+ 3 -4 -2 |
Curve |
Equation |
t |
Generators |
8085t1 |
[0,1,1,-4188830,-3269104744] |
1 |
[-1160:5512:1] |
|
8085u
(4 curves) |
0 |
3- 5- 7- 11+ |
1 3- 5- 7- 11+ 2 -6 -4 |
Curve |
Equation |
t |
8085u1 |
[1,0,1,-9973,-383869] |
2 |
8085u2 |
[1,0,1,-12178,-202177] |
4 |
8085u3 |
[1,0,1,-104053,12770573] |
2 |
8085u4 |
[1,0,1,44417,-1537819] |
2 |
|
8085v
(2 curves) |
0 |
3- 5- 7- 11+ |
1 3- 5- 7- 11+ -4 -2 4 |
Curve |
Equation |
t |
8085v1 |
[1,0,1,-9483,352993] |
2 |
8085v2 |
[1,0,1,-4338,735781] |
2 |
|
8085w
(4 curves) |
0 |
3- 5- 7- 11+ |
-1 3- 5- 7- 11+ 2 -6 -4 |
Curve |
Equation |
t |
8085w1 |
[1,0,0,-540,3807] |
4 |
8085w2 |
[1,0,0,-2745,-52200] |
4 |
8085w3 |
[1,0,0,-43170,-3455985] |
2 |
8085w4 |
[1,0,0,2400,-224043] |
2 |
|
8085x
(1 curve) |
0 |
3- 5- 7- 11+ |
2 3- 5- 7- 11+ 2 3 5 |
Curve |
Equation |
t |
8085x1 |
[0,1,1,406390,-98472181] |
1 |
|
8085y
(1 curve) |
1 |
3- 5- 7- 11- |
0 3- 5- 7- 11- 0 -3 3 |
Curve |
Equation |
t |
Generators |
8085y1 |
[0,1,1,-6435,-644416] |
1 |
[198:2425:1] |
|
8085z
(1 curve) |
1 |
3- 5- 7- 11- |
0 3- 5- 7- 11- -3 0 -6 |
Curve |
Equation |
t |
Generators |
8085z1 |
[0,1,1,-415,1306] |
1 |
[-10:67:1] |
|