Class |
r |
Atkin-Lehner |
Eigenvalues |
31416a
(1 curve) |
1 |
2+ 3+ 7+ 11- 17- |
2+ 3+ -1 7+ 11- 7 17- -2 |
Curve |
Equation |
t |
Generators |
31416a1 |
[0,-1,0,-56,252] |
1 |
[2:-12:1] |
|
31416b
(4 curves) |
1 |
2+ 3+ 7+ 11- 17- |
2+ 3+ -2 7+ 11- -2 17- -8 |
Curve |
Equation |
t |
Generators |
31416b1 |
[0,-1,0,-7719,263484] |
4 |
[-101:51:1] |
31416b2 |
[0,-1,0,-9164,159444] |
4 |
[-26:616:1] |
31416b3 |
[0,-1,0,31976,1163260] |
2 |
[161:3234:1] |
31416b4 |
[0,-1,0,-73424,-7526052] |
2 |
[313:242:1] |
|
31416c
(4 curves) |
1 |
2+ 3+ 7- 11- 17+ |
2+ 3+ -2 7- 11- 2 17+ -4 |
Curve |
Equation |
t |
Generators |
31416c1 |
[0,-1,0,-924,-5772] |
2 |
[38:112:1] |
31416c2 |
[0,-1,0,-6704,209244] |
4 |
[25:238:1] |
31416c3 |
[0,-1,0,776,643084] |
2 |
[113:1470:1] |
31416c4 |
[0,-1,0,-106664,13443948] |
2 |
[193:98:1] |
|
31416d
(1 curve) |
0 |
2+ 3- 7+ 11+ 17+ |
2+ 3- -1 7+ 11+ 1 17+ -2 |
Curve |
Equation |
t |
31416d1 |
[0,1,0,-108940536,437645563488] |
1 |
|
31416e
(1 curve) |
0 |
2+ 3- 7+ 11+ 17+ |
2+ 3- -1 7+ 11+ 1 17+ -7 |
Curve |
Equation |
t |
31416e1 |
[0,1,0,4984,-79887] |
1 |
|
31416f
(4 curves) |
1 |
2+ 3- 7+ 11+ 17- |
2+ 3- 2 7+ 11+ -2 17- -4 |
Curve |
Equation |
t |
Generators |
31416f1 |
[0,1,0,-327,1638] |
4 |
[996:1515:64] |
31416f2 |
[0,1,0,-1772,-27840] |
4 |
[55:210:1] |
31416f3 |
[0,1,0,1288,-111072] |
2 |
[6362:179685:8] |
31416f4 |
[0,1,0,-27952,-1808080] |
2 |
[803:22230:1] |
|
31416g
(2 curves) |
1 |
2+ 3- 7+ 11+ 17- |
2+ 3- 2 7+ 11+ 4 17- -4 |
Curve |
Equation |
t |
Generators |
31416g1 |
[0,1,0,-6539072,6433913520] |
2 |
[15276:1457920:27] |
31416g2 |
[0,1,0,-6537112,6437965232] |
2 |
[1399:5712:1] |
|
31416h
(1 curve) |
1 |
2+ 3- 7- 11+ 17+ |
2+ 3- 3 7- 11+ -1 17+ -5 |
Curve |
Equation |
t |
Generators |
31416h1 |
[0,1,0,-36464,-2755527] |
1 |
[376:-6069:1] |
|
31416i
(2 curves) |
0 |
2+ 3- 7- 11+ 17- |
2+ 3- 2 7- 11+ 0 17- 4 |
Curve |
Equation |
t |
31416i1 |
[0,1,0,-1552,-23440] |
2 |
31416i2 |
[0,1,0,408,-76752] |
2 |
|
31416j
(4 curves) |
0 |
2+ 3- 7- 11- 17+ |
2+ 3- 2 7- 11- 6 17+ -4 |
Curve |
Equation |
t |
31416j1 |
[0,1,0,-15212,-727200] |
2 |
31416j2 |
[0,1,0,-16192,-629200] |
4 |
31416j3 |
[0,1,0,36168,-3812688] |
2 |
31416j4 |
[0,1,0,-84232,8841968] |
2 |
|
31416k
(4 curves) |
0 |
2+ 3- 7- 11- 17+ |
2+ 3- -2 7- 11- 2 17+ 0 |
Curve |
Equation |
t |
31416k1 |
[0,1,0,-159,-690] |
2 |
31416k2 |
[0,1,0,-764,7296] |
4 |
31416k3 |
[0,1,0,776,34400] |
2 |
31416k4 |
[0,1,0,-11984,500976] |
2 |
|
31416l
(2 curves) |
1 |
2- 3+ 7+ 11+ 17- |
2- 3+ 0 7+ 11+ 2 17- 2 |
Curve |
Equation |
t |
Generators |
31416l1 |
[0,-1,0,-26388,1658724] |
2 |
[2640:-1666:27] |
31416l2 |
[0,-1,0,-26048,1703196] |
2 |
[110:396:1] |
|
31416m
(1 curve) |
1 |
2- 3+ 7- 11+ 17+ |
2- 3+ -3 7- 11+ -1 17+ 3 |
Curve |
Equation |
t |
Generators |
31416m1 |
[0,-1,0,28,129] |
1 |
[4:-17:1] |
|
31416n
(1 curve) |
1 |
2- 3- 7+ 11+ 17+ |
2- 3- 1 7+ 11+ 5 17+ -6 |
Curve |
Equation |
t |
Generators |
31416n1 |
[0,1,0,3520,-49008] |
1 |
[16:108:1] |
|
31416o
(1 curve) |
1 |
2- 3- 7+ 11- 17- |
2- 3- 1 7+ 11- -1 17- -6 |
Curve |
Equation |
t |
Generators |
31416o1 |
[0,1,0,-283360,-67107568] |
1 |
[1232:-38148:1] |
|
31416p
(2 curves) |
1 |
2- 3- 7+ 11- 17- |
2- 3- -4 7+ 11- -6 17- -6 |
Curve |
Equation |
t |
Generators |
31416p1 |
[0,1,0,-19860,158304] |
2 |
[314:-4998:1] |
31416p2 |
[0,1,0,78400,1337424] |
2 |
[280:6732:1] |
|
31416q
(6 curves) |
1 |
2- 3- 7- 11+ 17- |
2- 3- -2 7- 11+ -2 17- -4 |
Curve |
Equation |
t |
Generators |
31416q1 |
[0,1,0,-239,18930] |
4 |
[-21:123:1] |
31416q2 |
[0,1,0,-12244,513536] |
8 |
[-94:918:1] |
31416q3 |
[0,1,0,-21064,-333184] |
4 |
[-37:630:1] |
31416q4 |
[0,1,0,-195504,33207120] |
4 |
[984:28188:1] |
31416q5 |
[0,1,0,80576,-2528608] |
2 |
[931:29670:1] |
31416q6 |
[0,1,0,-263824,-52186720] |
2 |
[-7935:6110:27] |
|
31416r
(4 curves) |
1 |
2- 3- 7- 11- 17+ |
2- 3- -2 7- 11- -6 17+ 4 |
Curve |
Equation |
t |
Generators |
31416r1 |
[0,1,0,-679,-4774] |
2 |
[-13:45:1] |
31416r2 |
[0,1,0,-4324,104576] |
4 |
[-34:462:1] |
31416r3 |
[0,1,0,1616,375440] |
2 |
[-16:588:1] |
31416r4 |
[0,1,0,-68584,6890432] |
2 |
[152:24:1] |
|
31416s
(1 curve) |
1 |
2- 3- 7- 11- 17+ |
2- 3- 3 7- 11- -5 17+ -5 |
Curve |
Equation |
t |
Generators |
31416s1 |
[0,1,0,-2464,-47971] |
1 |
[70:357:1] |
|