Class |
r |
Atkin-Lehner |
Eigenvalues |
31122a
(2 curves) |
1 |
2+ 3+ 7+ 13+ 19+ |
2+ 3+ -2 7+ -4 13+ 6 19+ |
Curve |
Equation |
t |
Generators |
31122a1 |
[1,-1,0,-393,-1639] |
2 |
[-16:27:1] |
31122a2 |
[1,-1,0,-5523,-156565] |
2 |
[-43:27:1] |
|
31122b
(2 curves) |
1 |
2+ 3+ 7+ 13+ 19+ |
2+ 3+ 4 7+ 0 13+ -2 19+ |
Curve |
Equation |
t |
Generators |
31122b1 |
[1,-1,0,-109905,13290893] |
2 |
[7156:95377:64] |
31122b2 |
[1,-1,0,85035,55202993] |
2 |
[-226:5053:1] |
|
31122c
(2 curves) |
2 |
2+ 3+ 7+ 13+ 19- |
2+ 3+ 0 7+ -4 13+ 2 19- |
Curve |
Equation |
t |
Generators |
31122c1 |
[1,-1,0,-2037,35893] |
2 |
[-49:152:1]&[23:17:1] |
31122c2 |
[1,-1,0,-1797,44485] |
2 |
[-46:191:1]&[-18:-257:1] |
|
31122d
(2 curves) |
1 |
2+ 3+ 7+ 13- 19- |
2+ 3+ -2 7+ -4 13- -2 19- |
Curve |
Equation |
t |
Generators |
31122d1 |
[1,-1,0,-123513,-16653511] |
2 |
[-202:253:1] |
31122d2 |
[1,-1,0,-1975443,-1068179365] |
2 |
[13166:86783:8] |
|
31122e
(2 curves) |
0 |
2+ 3+ 7- 13+ 19+ |
2+ 3+ 4 7- 0 13+ 6 19+ |
Curve |
Equation |
t |
31122e1 |
[1,-1,0,-100590,-11514412] |
2 |
31122e2 |
[1,-1,0,-1582350,-765730252] |
2 |
|
31122f
(2 curves) |
1 |
2+ 3+ 7- 13- 19+ |
2+ 3+ 0 7- -4 13- 2 19+ |
Curve |
Equation |
t |
Generators |
31122f1 |
[1,-1,0,-1932,32732] |
2 |
[1:175:1] |
31122f2 |
[1,-1,0,-3822,-40222] |
2 |
[-13:91:1] |
|
31122g
(2 curves) |
0 |
2+ 3+ 7- 13- 19- |
2+ 3+ 4 7- -4 13- -2 19- |
Curve |
Equation |
t |
31122g1 |
[1,-1,0,-91260,-1012912] |
2 |
31122g2 |
[1,-1,0,-951420,355953488] |
2 |
|
31122h
(1 curve) |
1 |
2+ 3- 7+ 13- 19+ |
2+ 3- -1 7+ -3 13- 6 19+ |
Curve |
Equation |
t |
Generators |
31122h1 |
[1,-1,0,0,-108] |
1 |
[6:6:1] |
|
31122i
(4 curves) |
1 |
2+ 3- 7+ 13- 19+ |
2+ 3- 2 7+ 0 13- -6 19+ |
Curve |
Equation |
t |
Generators |
31122i1 |
[1,-1,0,-35316,2484432] |
2 |
[184:1388:1] |
31122i2 |
[1,-1,0,-560196,161523072] |
4 |
[189:7803:1] |
31122i3 |
[1,-1,0,-555336,164459484] |
2 |
[310:-4848:1] |
31122i4 |
[1,-1,0,-8963136,10330761060] |
4 |
[1458:18252:1] |
|
31122j
(1 curve) |
1 |
2+ 3- 7+ 13- 19+ |
2+ 3- -3 7+ 5 13- 0 19+ |
Curve |
Equation |
t |
Generators |
31122j1 |
[1,-1,0,3159,14413] |
1 |
[2:143:1] |
|
31122k
(2 curves) |
2 |
2+ 3- 7+ 13- 19- |
2+ 3- -2 7+ -6 13- 0 19- |
Curve |
Equation |
t |
Generators |
31122k1 |
[1,-1,0,-288,1840] |
2 |
[-19:23:1]&[-4:56:1] |
31122k2 |
[1,-1,0,252,7564] |
2 |
[-10:-58:1]&[-12:58:1] |
|
31122l
(4 curves) |
2 |
2+ 3- 7- 13+ 19- |
2+ 3- -2 7- -4 13+ -6 19- |
Curve |
Equation |
t |
Generators |
31122l1 |
[1,-1,0,-15993,782365] |
2 |
[-118:1067:1]&[-34:1151:1] |
31122l2 |
[1,-1,0,-17613,615505] |
4 |
[152:-1273:1]&[-114:1121:1] |
31122l3 |
[1,-1,0,49077,4123399] |
2 |
[35:-2443:1]&[-210:13531:8] |
31122l4 |
[1,-1,0,-110223,-13590869] |
2 |
[-205:701:1]&[-163:239:1] |
|
31122m
(6 curves) |
1 |
2+ 3- 7- 13- 19- |
2+ 3- 0 7- 0 13- -6 19- |
Curve |
Equation |
t |
Generators |
31122m1 |
[1,-1,0,-306657,-63059715] |
2 |
[-17580:48885:64] |
31122m2 |
[1,-1,0,131103,-228795651] |
2 |
[147224580:19901660577:8000] |
31122m3 |
[1,-1,0,-3650337,2665989693] |
6 |
[-57:53637:1] |
31122m4 |
[1,-1,0,-1181097,6211324485] |
6 |
[-1983:28428:1] |
31122m5 |
[1,-1,0,-295085637,1951131954177] |
6 |
[9771:20409:1] |
31122m6 |
[1,-1,0,-295083927,1951155696843] |
6 |
[3352251:7137201:343] |
|
31122n
(1 curve) |
1 |
2+ 3- 7- 13- 19- |
2+ 3- 1 7- -1 13- 4 19- |
Curve |
Equation |
t |
Generators |
31122n1 |
[1,-1,0,-3759,-97363] |
1 |
[238:3409:1] |
|
31122o
(3 curves) |
1 |
2+ 3- 7- 13- 19- |
2+ 3- 3 7- 3 13- -6 19- |
Curve |
Equation |
t |
Generators |
31122o1 |
[1,-1,0,-288,-27648] |
1 |
[6720:38112:125] |
31122o2 |
[1,-1,0,2592,744768] |
3 |
[96:1320:1] |
31122o3 |
[1,-1,0,-548028,156321252] |
3 |
[432:18:1] |
|
31122p
(2 curves) |
0 |
2- 3+ 7+ 13+ 19+ |
2- 3+ 2 7+ 4 13+ -6 19+ |
Curve |
Equation |
t |
31122p1 |
[1,-1,1,-44,75] |
2 |
31122p2 |
[1,-1,1,-614,6003] |
2 |
|
31122q
(2 curves) |
0 |
2- 3+ 7+ 13+ 19+ |
2- 3+ -4 7+ 0 13+ 2 19+ |
Curve |
Equation |
t |
31122q1 |
[1,-1,1,-12212,-488185] |
2 |
31122q2 |
[1,-1,1,9448,-2047705] |
2 |
|
31122r
(2 curves) |
1 |
2- 3+ 7+ 13+ 19- |
2- 3+ 0 7+ 4 13+ -2 19- |
Curve |
Equation |
t |
Generators |
31122r1 |
[1,-1,1,-18335,-950777] |
2 |
[179:1126:1] |
31122r2 |
[1,-1,1,-16175,-1184921] |
2 |
[283:3962:1] |
|
31122s
(2 curves) |
0 |
2- 3+ 7+ 13- 19- |
2- 3+ 2 7+ 4 13- 2 19- |
Curve |
Equation |
t |
31122s1 |
[1,-1,1,-13724,621371] |
2 |
31122s2 |
[1,-1,1,-219494,39635363] |
2 |
|
31122t
(2 curves) |
1 |
2- 3+ 7- 13+ 19+ |
2- 3+ -4 7- 0 13+ -6 19+ |
Curve |
Equation |
t |
Generators |
31122t1 |
[1,-1,1,-11177,430185] |
2 |
[173:1824:1] |
31122t2 |
[1,-1,1,-175817,28418985] |
2 |
[257:-528:1] |
|
31122u
(2 curves) |
0 |
2- 3+ 7- 13- 19+ |
2- 3+ 0 7- 4 13- -2 19+ |
Curve |
Equation |
t |
31122u1 |
[1,-1,1,-215,-1141] |
2 |
31122u2 |
[1,-1,1,-425,1631] |
2 |
|
31122v
(2 curves) |
1 |
2- 3+ 7- 13- 19- |
2- 3+ -4 7- 4 13- 2 19- |
Curve |
Equation |
t |
Generators |
31122v1 |
[1,-1,1,-821342,28169965] |
2 |
[-839:11651:1] |
31122v2 |
[1,-1,1,-8562782,-9602181395] |
2 |
[-1735:6275:1] |
|
31122w
(4 curves) |
1 |
2- 3- 7+ 13+ 19+ |
2- 3- 2 7+ 0 13+ -2 19+ |
Curve |
Equation |
t |
Generators |
31122w1 |
[1,-1,1,-9482639,11241735383] |
2 |
[1011:51334:1] |
31122w2 |
[1,-1,1,-9528719,11126996183] |
4 |
[-213:114766:1] |
31122w3 |
[1,-1,1,348241,33065699735] |
2 |
[110555:23015526:125] |
31122w4 |
[1,-1,1,-20142959,-18155569129] |
2 |
[-1185:64222:1] |
|
31122x
(2 curves) |
1 |
2- 3- 7+ 13+ 19+ |
2- 3- 2 7+ -2 13+ 0 19+ |
Curve |
Equation |
t |
Generators |
31122x1 |
[1,-1,1,-15584,-739965] |
2 |
[-75:89:1] |
31122x2 |
[1,-1,1,-5504,-1691517] |
2 |
[177:1601:1] |
|
31122y
(1 curve) |
0 |
2- 3- 7+ 13+ 19- |
2- 3- 1 7+ 5 13+ 4 19- |
Curve |
Equation |
t |
31122y1 |
[1,-1,1,266443,205900237] |
1 |
|
31122z
(2 curves) |
0 |
2- 3- 7+ 13- 19+ |
2- 3- -2 7+ -2 13- -8 19+ |
Curve |
Equation |
t |
31122z1 |
[1,-1,1,-649976,-201525033] |
2 |
31122z2 |
[1,-1,1,-619106,-221553489] |
2 |
|
31122ba
(2 curves) |
1 |
2- 3- 7+ 13- 19- |
2- 3- -4 7+ -4 13- -2 19- |
Curve |
Equation |
t |
Generators |
31122ba1 |
[1,-1,1,-6827,-133765] |
2 |
[-33:-218:1] |
31122ba2 |
[1,-1,1,20533,-954565] |
2 |
[423:-9338:1] |
|
31122bb
(2 curves) |
0 |
2- 3- 7- 13+ 19+ |
2- 3- 2 7- -2 13+ 8 19+ |
Curve |
Equation |
t |
31122bb1 |
[1,-1,1,-52484,-4583257] |
2 |
31122bb2 |
[1,-1,1,-17924,-10555225] |
2 |
|
31122bc
(1 curve) |
1 |
2- 3- 7- 13- 19+ |
2- 3- 0 7- 1 13- -2 19+ |
Curve |
Equation |
t |
Generators |
31122bc1 |
[1,-1,1,-4370,-112111] |
1 |
[97:559:1] |
|
31122bd
(3 curves) |
0 |
2- 3- 7- 13- 19- |
2- 3- 0 7- -3 13- 6 19- |
Curve |
Equation |
t |
31122bd1 |
[1,-1,1,-7835,-840895] |
1 |
31122bd2 |
[1,-1,1,69340,20700191] |
3 |
31122bd3 |
[1,-1,1,-4138115,3244656899] |
3 |
|
31122be
(2 curves) |
0 |
2- 3- 7- 13- 19- |
2- 3- 3 7- 3 13- 0 19- |
Curve |
Equation |
t |
31122be1 |
[1,-1,1,-387851,-95204437] |
1 |
31122be2 |
[1,-1,1,1759054,-370202191] |
3 |
|
31122bf
(2 curves) |
0 |
2- 3- 7- 13- 19- |
2- 3- -4 7- 0 13- -2 19- |
|