Class |
r |
Atkin-Lehner |
Eigenvalues |
38760a
(4 curves) |
1 |
2+ 3+ 5+ 17+ 19+ |
2+ 3+ 5+ 4 -4 -2 17+ 19+ |
Curve |
Equation |
t |
Generators |
38760a1 |
[0,-1,0,-951,-10620] |
2 |
[-1084:1183:64] |
38760a2 |
[0,-1,0,-2396,30996] |
4 |
[-35:266:1] |
38760a3 |
[0,-1,0,6784,203580] |
2 |
[2234:39025:8] |
38760a4 |
[0,-1,0,-34696,2498716] |
2 |
[305:4494:1] |
|
38760b
(2 curves) |
1 |
2+ 3+ 5+ 17- 19- |
2+ 3+ 5+ -4 -2 -6 17- 19- |
Curve |
Equation |
t |
Generators |
38760b1 |
[0,-1,0,-816,-10404] |
2 |
[53:304:1] |
38760b2 |
[0,-1,0,-13736,-615060] |
2 |
[189:1872:1] |
|
38760c
(2 curves) |
1 |
2+ 3+ 5- 17+ 19- |
2+ 3+ 5- 0 0 4 17+ 19- |
Curve |
Equation |
t |
Generators |
38760c1 |
[0,-1,0,-7675,-315848] |
2 |
[2522:42705:8] |
38760c2 |
[0,-1,0,-130500,-18100908] |
2 |
[7584642:42177429:17576] |
|
38760d
(1 curve) |
1 |
2+ 3+ 5- 17- 19+ |
2+ 3+ 5- 1 -4 -3 17- 19+ |
Curve |
Equation |
t |
Generators |
38760d1 |
[0,-1,0,-6940,-237275] |
1 |
[190:-2295:1] |
|
38760e
(4 curves) |
0 |
2+ 3+ 5- 17- 19- |
2+ 3+ 5- 4 4 6 17- 19- |
Curve |
Equation |
t |
38760e1 |
[0,-1,0,305,1300] |
4 |
38760e2 |
[0,-1,0,-1500,12852] |
4 |
38760e3 |
[0,-1,0,-11000,-431748] |
2 |
38760e4 |
[0,-1,0,-20880,1167900] |
2 |
|
38760f
(4 curves) |
0 |
2+ 3- 5+ 17+ 19+ |
2+ 3- 5+ 0 0 -6 17+ 19+ |
Curve |
Equation |
t |
38760f1 |
[0,1,0,-2471,46230] |
2 |
38760f2 |
[0,1,0,-3916,-15616] |
4 |
38760f3 |
[0,1,0,15464,-108640] |
2 |
38760f4 |
[0,1,0,-46416,-3857616] |
2 |
|
38760g
(1 curve) |
0 |
2+ 3- 5+ 17+ 19+ |
2+ 3- 5+ -1 0 -1 17+ 19+ |
Curve |
Equation |
t |
38760g1 |
[0,1,0,-1536,275985] |
1 |
|
38760h
(1 curve) |
1 |
2+ 3- 5+ 17- 19+ |
2+ 3- 5+ -1 2 5 17- 19+ |
Curve |
Equation |
t |
Generators |
38760h1 |
[0,1,0,-1616,-57111] |
1 |
[172:2187:1] |
|
38760i
(2 curves) |
1 |
2+ 3- 5+ 17- 19+ |
2+ 3- 5+ 2 -4 -4 17- 19+ |
Curve |
Equation |
t |
Generators |
38760i1 |
[0,1,0,-256,944] |
2 |
[-276:1376:27] |
38760i2 |
[0,1,0,744,7344] |
2 |
[59:510:1] |
|
38760j
(2 curves) |
0 |
2+ 3- 5+ 17- 19- |
2+ 3- 5+ 2 -2 4 17- 19- |
Curve |
Equation |
t |
38760j1 |
[0,1,0,20804,423680] |
2 |
38760j2 |
[0,1,0,-89016,3410784] |
2 |
|
38760k
(2 curves) |
0 |
2+ 3- 5+ 17- 19- |
2+ 3- 5+ 2 -2 4 17- 19- |
Curve |
Equation |
t |
38760k1 |
[0,1,0,-2632876,-1666593376] |
2 |
38760k2 |
[0,1,0,-42277896,-105821989920] |
2 |
|
38760l
(2 curves) |
1 |
2+ 3- 5- 17+ 19+ |
2+ 3- 5- 2 -6 -4 17+ 19+ |
Curve |
Equation |
t |
Generators |
38760l1 |
[0,1,0,26980,-325632] |
2 |
[336:6840:1] |
38760l2 |
[0,1,0,-110200,-2740000] |
2 |
[-100:2700:1] |
|
38760m
(1 curve) |
1 |
2+ 3- 5- 17+ 19+ |
2+ 3- 5- -3 -6 3 17+ 19+ |
Curve |
Equation |
t |
Generators |
38760m1 |
[0,1,0,20,353] |
1 |
[-4:15:1] |
|
38760n
(2 curves) |
0 |
2+ 3- 5- 17- 19+ |
2+ 3- 5- 2 0 4 17- 19+ |
Curve |
Equation |
t |
38760n1 |
[0,1,0,-16320,804528] |
2 |
38760n2 |
[0,1,0,-261800,51471600] |
2 |
|
38760o
(2 curves) |
1 |
2- 3+ 5+ 17+ 19- |
2- 3+ 5+ 4 -2 2 17+ 19- |
Curve |
Equation |
t |
Generators |
38760o1 |
[0,-1,0,2264,23740] |
2 |
[465:10070:1] |
38760o2 |
[0,-1,0,-10656,214956] |
2 |
[58805:1244334:125] |
|
38760p
(2 curves) |
1 |
2- 3+ 5+ 17- 19+ |
2- 3+ 5+ 0 0 4 17- 19+ |
Curve |
Equation |
t |
Generators |
38760p1 |
[0,-1,0,-17651,-896724] |
2 |
[824:23310:1] |
38760p2 |
[0,-1,0,-16796,-988380] |
2 |
[170:1020:1] |
|
38760q
(2 curves) |
2 |
2- 3+ 5+ 17- 19- |
2- 3+ 5+ 0 -4 -4 17- 19- |
Curve |
Equation |
t |
Generators |
38760q1 |
[0,-1,0,29,196] |
2 |
[1:-15:1]&[5:21:1] |
38760q2 |
[0,-1,0,-396,2916] |
2 |
[-16:70:1]&[-10:76:1] |
|
38760r
(2 curves) |
1 |
2- 3+ 5- 17+ 19+ |
2- 3+ 5- 0 -4 0 17+ 19+ |
Curve |
Equation |
t |
Generators |
38760r1 |
[0,-1,0,60,132] |
2 |
[2:16:1] |
38760r2 |
[0,-1,0,-320,1500] |
2 |
[-10:60:1] |
|
38760s
(2 curves) |
0 |
2- 3+ 5- 17+ 19- |
2- 3+ 5- -2 -6 4 17+ 19- |
Curve |
Equation |
t |
38760s1 |
[0,-1,0,6179180,8267317060] |
2 |
38760s2 |
[0,-1,0,-43342800,85541414652] |
2 |
|
38760t
(6 curves) |
0 |
2- 3+ 5- 17- 19+ |
2- 3+ 5- 0 -4 -2 17- 19+ |
Curve |
Equation |
t |
38760t1 |
[0,-1,0,-27455,1760160] |
4 |
38760t2 |
[0,-1,0,-27460,1759492] |
8 |
38760t3 |
[0,-1,0,-21760,2505052] |
4 |
38760t4 |
[0,-1,0,-33240,971100] |
4 |
38760t5 |
[0,-1,0,119760,7274700] |
2 |
38760t6 |
[0,-1,0,-278720,-55882068] |
2 |
|
38760u
(2 curves) |
0 |
2- 3+ 5- 17- 19+ |
2- 3+ 5- -2 4 4 17- 19+ |
Curve |
Equation |
t |
38760u1 |
[0,-1,0,-2840,59100] |
2 |
38760u2 |
[0,-1,0,-1840,100300] |
2 |
|
38760v
(4 curves) |
1 |
2- 3+ 5- 17- 19- |
2- 3+ 5- 0 -4 2 17- 19- |
Curve |
Equation |
t |
Generators |
38760v1 |
[0,-1,0,-375,2160] |
4 |
[32:148:1] |
38760v2 |
[0,-1,0,-2180,-36828] |
4 |
[-26:40:1] |
38760v3 |
[0,-1,0,1240,-144900] |
2 |
[62:408:1] |
38760v4 |
[0,-1,0,-34480,-2452868] |
2 |
[217:486:1] |
|
38760w
(1 curve) |
1 |
2- 3- 5+ 17+ 19+ |
2- 3- 5+ -1 -4 1 17+ 19+ |
Curve |
Equation |
t |
Generators |
38760w1 |
[0,1,0,-16,29] |
1 |
[2:-3:1] |
|
38760x
(4 curves) |
1 |
2- 3- 5+ 17+ 19+ |
2- 3- 5+ 4 4 -2 17+ 19+ |
Curve |
Equation |
t |
Generators |
38760x1 |
[0,1,0,-356,2400] |
2 |
[-6:66:1] |
38760x2 |
[0,1,0,-856,-6400] |
4 |
[1466:19635:8] |
38760x3 |
[0,1,0,2544,-41760] |
2 |
[38814:540001:216] |
38760x4 |
[0,1,0,-12256,-526240] |
2 |
[-591801:85294:9261] |
|
38760y
(4 curves) |
1 |
2- 3- 5+ 17- 19- |
2- 3- 5+ 0 -4 6 17- 19- |
Curve |
Equation |
t |
Generators |
38760y1 |
[0,1,0,284,13280] |
2 |
[-1:114:1] |
38760y2 |
[0,1,0,-6936,209664] |
4 |
[24:240:1] |
38760y3 |
[0,1,0,-19856,-813600] |
2 |
[211:2106:1] |
38760y4 |
[0,1,0,-109536,13917024] |
2 |
[195:102:1] |
|
38760z
(4 curves) |
1 |
2- 3- 5+ 17- 19- |
2- 3- 5+ 4 -4 -2 17- 19- |
Curve |
Equation |
t |
Generators |
38760z1 |
[0,1,0,-3490036,2488340864] |
4 |
[-706:67830:1] |
38760z2 |
[0,1,0,-6096456,-1731974400] |
4 |
[5184:325584:1] |
38760z3 |
[0,1,0,23144544,-13498552800] |
2 |
[32922:3113397:8] |
38760z4 |
[0,1,0,-77040176,-260023870176] |
2 |
[10675:366282:1] |
|
38760ba
(2 curves) |
0 |
2- 3- 5- 17+ 19+ |
2- 3- 5- -2 6 6 17+ 19+ |
Curve |
Equation |
t |
38760ba1 |
[0,1,0,-10420,-250432] |
2 |
38760ba2 |
[0,1,0,-147600,-21870000] |
2 |
|
38760bb
(2 curves) |
1 |
2- 3- 5- 17+ 19- |
2- 3- 5- 0 -4 0 17+ 19- |
Curve |
Equation |
t |
Generators |
38760bb1 |
[0,1,0,9882925,-15804146250] |
2 |
[1975:106875:1] |
38760bb2 |
[0,1,0,-66882700,-160952590000] |
2 |
[11150:-692550:1] |
|
38760bc
(2 curves) |
1 |
2- 3- 5- 17+ 19- |
2- 3- 5- 2 -4 4 17+ 19- |
Curve |
Equation |
t |
Generators |
38760bc1 |
[0,1,0,16440,-2845440] |
2 |
[123:1026:1] |
38760bc2 |
[0,1,0,-229040,-38783712] |
2 |
[2707:138510:1] |
|