Class |
r |
Atkin-Lehner |
Eigenvalues |
31850a
(1 curve) |
1 |
2+ 5+ 7+ 13+ |
2+ 0 5+ 7+ 6 13+ -1 0 |
Curve |
Equation |
t |
Generators |
31850a1 |
[1,-1,0,-66992,720166] |
1 |
[-257:1084:1] |
|
31850b
(2 curves) |
1 |
2+ 5+ 7+ 13+ |
2+ -1 5+ 7+ 0 13+ 0 2 |
Curve |
Equation |
t |
Generators |
31850b1 |
[1,1,0,-11148750,-16713687500] |
1 |
[178500:11942750:27] |
31850b2 |
[1,1,0,-944108750,-11165969847500] |
1 |
[33518100:37317117550:27] |
|
31850c
(2 curves) |
1 |
2+ 5+ 7+ 13+ |
2+ 2 5+ 7+ 3 13+ 3 -1 |
Curve |
Equation |
t |
Generators |
31850c1 |
[1,1,0,-183823525,959313178125] |
1 |
[-6222841794:-3143554688031:2685619] |
31850c2 |
[1,1,0,24720475,2973595770125] |
1 |
[2306976771166459023540905186:-1830636186567378689030398765561:1049528787366635938705589] |
|
31850d
(1 curve) |
2 |
2+ 5+ 7+ 13- |
2+ -1 5+ 7+ -4 13- 0 -6 |
Curve |
Equation |
t |
Generators |
31850d1 |
[1,1,0,-7375,243125] |
1 |
[125:-1200:1]&[-70:685:1] |
|
31850e
(4 curves) |
0 |
2+ 5+ 7- 13+ |
2+ 0 5+ 7- 4 13+ -6 0 |
Curve |
Equation |
t |
31850e1 |
[1,-1,0,1061233,-285891859] |
2 |
31850e2 |
[1,-1,0,-5210767,-2512451859] |
4 |
31850e3 |
[1,-1,0,-38334767,89605392141] |
2 |
31850e4 |
[1,-1,0,-72438767,-237205399859] |
2 |
|
31850f
(1 curve) |
0 |
2+ 5+ 7- 13+ |
2+ 1 5+ 7- -1 13+ 3 3 |
Curve |
Equation |
t |
31850f1 |
[1,0,1,-8601,631068] |
1 |
|
31850g
(1 curve) |
0 |
2+ 5+ 7- 13+ |
2+ 1 5+ 7- -1 13+ 4 0 |
Curve |
Equation |
t |
31850g1 |
[1,0,1,-101876,13830898] |
1 |
|
31850h
(1 curve) |
0 |
2+ 5+ 7- 13+ |
2+ 1 5+ 7- 3 13+ 0 -8 |
Curve |
Equation |
t |
31850h1 |
[1,0,1,-5377776,4801215948] |
1 |
|
31850i
(1 curve) |
0 |
2+ 5+ 7- 13+ |
2+ 1 5+ 7- -4 13+ 0 6 |
Curve |
Equation |
t |
31850i1 |
[1,0,1,-361401,-84476052] |
1 |
|
31850j
(1 curve) |
0 |
2+ 5+ 7- 13+ |
2+ 1 5+ 7- -5 13+ -8 8 |
Curve |
Equation |
t |
31850j1 |
[1,0,1,-2479426,-1502918252] |
1 |
|
31850k
(1 curve) |
0 |
2+ 5+ 7- 13+ |
2+ -1 5+ 7- 1 13+ -7 3 |
Curve |
Equation |
t |
31850k1 |
[1,1,0,14675,-7547875] |
1 |
|
31850l
(1 curve) |
0 |
2+ 5+ 7- 13+ |
2+ -1 5+ 7- -5 13+ 2 6 |
Curve |
Equation |
t |
31850l1 |
[1,1,0,-240125,-253527875] |
1 |
|
31850m
(2 curves) |
0 |
2+ 5+ 7- 13+ |
2+ 2 5+ 7- -2 13+ 2 -6 |
Curve |
Equation |
t |
31850m1 |
[1,1,0,-1030250,402012500] |
2 |
31850m2 |
[1,1,0,-932250,481686500] |
2 |
|
31850n
(2 curves) |
0 |
2+ 5+ 7- 13+ |
2+ -2 5+ 7- 4 13+ 4 2 |
Curve |
Equation |
t |
31850n1 |
[1,0,1,7324,3966498] |
2 |
31850n2 |
[1,0,1,-335676,72566498] |
2 |
|
31850o
(2 curves) |
0 |
2+ 5+ 7- 13+ |
2+ -2 5+ 7- -4 13+ 0 6 |
Curve |
Equation |
t |
31850o1 |
[1,0,1,-1402651,-519779802] |
2 |
31850o2 |
[1,0,1,-6890651,6493884198] |
2 |
|
31850p
(1 curve) |
0 |
2+ 5+ 7- 13+ |
2+ 3 5+ 7- 1 13+ 0 6 |
Curve |
Equation |
t |
31850p1 |
[1,-1,0,4058,166466] |
1 |
|
31850q
(2 curves) |
0 |
2+ 5+ 7- 13+ |
2+ -3 5+ 7- -2 13+ -3 -6 |
Curve |
Equation |
t |
31850q1 |
[1,-1,0,-3292,-110384] |
1 |
31850q2 |
[1,-1,0,-260542,56227366] |
1 |
|
31850r
(4 curves) |
1 |
2+ 5+ 7- 13- |
2+ 0 5+ 7- 0 13- 2 8 |
Curve |
Equation |
t |
Generators |
31850r1 |
[1,-1,0,-8192,105216] |
2 |
[-61:643:1] |
31850r2 |
[1,-1,0,-106192,13335216] |
4 |
[-12:3828:1] |
31850r3 |
[1,-1,0,-81692,19631716] |
2 |
[39:-4082:1] |
31850r4 |
[1,-1,0,-1698692,852582716] |
2 |
[674:3338:1] |
|
31850s
(1 curve) |
1 |
2+ 5+ 7- 13- |
2+ 0 5+ 7- 6 13- 1 0 |
Curve |
Equation |
t |
Generators |
31850s1 |
[1,-1,0,-1367,-1709] |
1 |
[-15:131:1] |
|
31850t
(2 curves) |
1 |
2+ 5+ 7- 13- |
2+ 0 5+ 7- -6 13- -8 0 |
Curve |
Equation |
t |
Generators |
31850t1 |
[1,-1,0,-41524667,-94773503259] |
2 |
[-2875:30421:1] |
31850t2 |
[1,-1,0,46283333,-442229759259] |
2 |
[6059:243158:1] |
|
31850u
(2 curves) |
1 |
2+ 5+ 7- 13- |
2+ 1 5+ 7- 0 13- 0 -2 |
Curve |
Equation |
t |
Generators |
31850u1 |
[1,0,1,-227526,48695448] |
1 |
[1461:52517:1] |
31850u2 |
[1,0,1,-19267526,32551095448] |
1 |
[2533:-1371:1] |
|
31850v
(3 curves) |
1 |
2+ 5+ 7- 13- |
2+ 1 5+ 7- -3 13- 0 -2 |
Curve |
Equation |
t |
Generators |
31850v1 |
[1,0,1,8549,325798] |
1 |
[46:4873:8] |
31850v2 |
[1,0,1,-236451,44523798] |
1 |
[522:7701:1] |
31850v3 |
[1,0,1,-19187201,32347749298] |
1 |
[68484:-16493:27] |
|
31850w
(1 curve) |
1 |
2+ 5+ 7- 13- |
2+ -1 5+ 7- 1 13- -3 -1 |
Curve |
Equation |
t |
Generators |
31850w1 |
[1,1,0,-136980,-42826160] |
1 |
[47956:1039175:64] |
|
31850x
(1 curve) |
1 |
2+ 5+ 7- 13- |
2+ -1 5+ 7- -1 13- -4 0 |
Curve |
Equation |
t |
Generators |
31850x1 |
[1,1,0,-4991900,-4748990000] |
1 |
[36525:6948925:1] |
|
31850y
(1 curve) |
1 |
2+ 5+ 7- 13- |
2+ -1 5+ 7- 3 13- 0 8 |
Curve |
Equation |
t |
Generators |
31850y1 |
[1,1,0,-109750,-14044750] |
1 |
[8315:753505:1] |
|
31850z
(1 curve) |
1 |
2+ 5+ 7- 13- |
2+ -1 5+ 7- -5 13- 8 -8 |
Curve |
Equation |
t |
Generators |
31850z1 |
[1,1,0,-50600,4360000] |
1 |
[125:25:1] |
|
31850ba
(2 curves) |
1 |
2+ 5+ 7- 13- |
2+ 2 5+ 7- 4 13- 0 2 |
Curve |
Equation |
t |
Generators |
31850ba1 |
[1,1,0,-7375,-75375] |
2 |
[-162:2139:8] |
31850ba2 |
[1,1,0,-93125,-10965625] |
2 |
[46900:1112425:64] |
|
31850bb
(2 curves) |
1 |
2+ 5+ 7- 13- |
2+ 2 5+ 7- 4 13- -4 -2 |
Curve |
Equation |
t |
Generators |
31850bb1 |
[1,1,0,150,-11500] |
2 |
[524:11750:1] |
31850bb2 |
[1,1,0,-6850,-214500] |
2 |
[105:435:1] |
|
31850bc
(6 curves) |
1 |
2+ 5+ 7- 13- |
2+ -2 5+ 7- 0 13- 0 -2 |
Curve |
Equation |
t |
Generators |
31850bc1 |
[1,0,1,-1465126,-680105352] |
2 |
[-5386:11607:8] |
31850bc2 |
[1,0,1,-23417126,-43618217352] |
2 |
[919668:102482259:64] |
31850bc3 |
[1,0,1,-8129126,8412726648] |
2 |
[-444:109467:1] |
31850bc4 |
[1,0,1,-24936126,-37638453352] |
2 |
[-1844:46467:1] |
31850bc5 |
[1,0,1,-647995626,6348959120648] |
2 |
[14256:84967:1] |
31850bc6 |
[1,0,1,-648081376,6347194728648] |
2 |
[383862:2075359:27] |
|
31850bd
(2 curves) |
1 |
2+ 5+ 7- 13- |
2+ -2 5+ 7- 3 13- -3 1 |
Curve |
Equation |
t |
Generators |
31850bd1 |
[1,0,1,-3751501,-2797367352] |
1 |
[29923:5150094:1] |
31850bd2 |
[1,0,1,504499,-8669303352] |
1 |
[3891:-230434:1] |
|
31850be
(2 curves) |
1 |
2+ 5+ 7- 13- |
2+ -2 5+ 7- -3 13- 3 4 |
Curve |
Equation |
t |
Generators |
31850be1 |
[1,0,1,-6396,248378] |
1 |
[-79:551:1] |
31850be2 |
[1,0,1,-555196,159180858] |
1 |
[433:-113:1] |
|
31850bf
(1 curve) |
1 |
2+ 5+ 7- 13- |
2+ 3 5+ 7- -3 13- -7 -1 |
Curve |
Equation |
t |
Generators |
31850bf1 |
[1,-1,0,-1087,-13609] |
1 |
[5115:66557:27] |
|
31850bg
(1 curve) |
1 |
2+ 5+ 7- 13- |
2+ -3 5+ 7- 3 13- -2 6 |
Curve |
Equation |
t |
Generators |
31850bg1 |
[1,-1,0,-40042,-3123884] |
1 |
[289:2918:1] |
|
31850bh
(1 curve) |
1 |
2+ 5- 7+ 13- |
2+ -1 5- 7+ -4 13- -6 -2 |
Curve |
Equation |
t |
Generators |
31850bh1 |
[1,1,0,72495,11807125] |
1 |
[706:20031:1] |
|
31850bi
(2 curves) |
1 |
2+ 5- 7- 13+ |
2+ 0 5- 7- 0 13+ -2 2 |
Curve |
Equation |
t |
Generators |
31850bi1 |
[1,-1,0,-8927,-214019] |
2 |
[-75:209:1] |
31850bi2 |
[1,-1,0,25373,-1483119] |
2 |
[65:629:1] |
|
31850bj
(1 curve) |
1 |
2+ 5- 7- 13+ |
2+ 1 5- 7- -4 13+ 6 2 |
Curve |
Equation |
t |
Generators |
31850bj1 |
[1,0,1,1479,-34212] |
1 |
[27:146:1] |
|
31850bk
(2 curves) |
1 |
2+ 5- 7- 13+ |
2+ 2 5- 7- 3 13+ -3 4 |
Curve |
Equation |
t |
Generators |
31850bk1 |
[1,1,0,-1250,-17800] |
1 |
[2506:124216:1] |
31850bk2 |
[1,1,0,4875,-80275] |
1 |
[50:515:1] |
|
31850bl
(2 curves) |
1 |
2+ 5- 7- 13+ |
2+ -2 5- 7- 2 13+ 2 0 |
Curve |
Equation |
t |
Generators |
31850bl1 |
[1,0,1,-58826,-4978452] |
2 |
[-164:596:1] |
31850bl2 |
[1,0,1,-916326,-337688452] |
2 |
[3102:161761:1] |
|
31850bm
(2 curves) |
1 |
2+ 5- 7- 13+ |
2+ -2 5- 7- -4 13+ 0 -4 |
Curve |
Equation |
t |
Generators |
31850bm1 |
[1,0,1,-64951,-4353702] |
2 |
[-129:1436:1] |
31850bm2 |
[1,0,1,180049,-29343702] |
2 |
[552:15161:1] |
|
31850bn
(2 curves) |
0 |
2- 5+ 7+ 13+ |
2- 2 5+ 7+ -3 13+ 3 -7 |
Curve |
Equation |
t |
31850bn1 |
[1,1,1,-9213,434531] |
1 |
31850bn2 |
[1,1,1,70412,-4502219] |
1 |
|
31850bo
(1 curve) |
1 |
2- 5+ 7+ 13- |
2- 0 5+ 7+ 1 13- 1 5 |
Curve |
Equation |
t |
Generators |
31850bo1 |
[1,-1,1,-2680,-834053] |
1 |
[109:345:1] |
|
31850bp
(2 curves) |
1 |
2- 5+ 7- 13+ |
2- 0 5+ 7- 0 13+ 6 4 |
Curve |
Equation |
t |
Generators |
31850bp1 |
[1,-1,1,120,-1753] |
2 |
[905:26763:1] |
31850bp2 |
[1,-1,1,-1630,-22753] |
2 |
[382:455:8] |
|
31850bq
(1 curve) |
1 |
2- 5+ 7- 13+ |
2- 0 5+ 7- 1 13+ -1 -5 |
Curve |
Equation |
t |
Generators |
31850bq1 |
[1,-1,1,-55,2447] |
1 |
[-1:50:1] |
|
31850br
(2 curves) |
1 |
2- 5+ 7- 13+ |
2- 0 5+ 7- -2 13+ -4 4 |
Curve |
Equation |
t |
Generators |
31850br1 |
[1,-1,1,-35755,2336247] |
2 |
[39:980:1] |
31850br2 |
[1,-1,1,49995,11768747] |
2 |
[3742:91875:8] |
|
31850bs
(4 curves) |
1 |
2- 5+ 7- 13+ |
2- 0 5+ 7- 4 13+ 2 4 |
Curve |
Equation |
t |
Generators |
31850bs1 |
[1,-1,1,-2450230,-1349948603] |
2 |
[-761:8955:1] |
31850bs2 |
[1,-1,1,-8722230,8409283397] |
4 |
[2823:77821:1] |
31850bs3 |
[1,-1,1,15777770,47119283397] |
2 |
[322473:37437025:27] |
31850bs4 |
[1,-1,1,-133574230,594214867397] |
2 |
[185421:645167:27] |
|
31850bt
(1 curve) |
1 |
2- 5+ 7- 13+ |
2- 1 5+ 7- 1 13+ 4 -4 |
Curve |
Equation |
t |
Generators |
31850bt1 |
[1,0,0,-113,1217] |
1 |
[32:159:1] |
|
31850bu
(1 curve) |
1 |
2- 5+ 7- 13+ |
2- 3 5+ 7- -5 13+ -4 -2 |
Curve |
Equation |
t |
Generators |
31850bu1 |
[1,-1,1,-27180,-37657553] |
1 |
[9903:29335:27] |
|
31850bv
(2 curves) |
0 |
2- 5+ 7- 13- |
2- 0 5+ 7- 0 13- -6 -4 |
Curve |
Equation |
t |
31850bv1 |
[1,-1,1,5895,589397] |
2 |
31850bv2 |
[1,-1,1,-79855,7963897] |
2 |
|
31850bw
(1 curve) |
0 |
2- 5+ 7- 13- |
2- 1 5+ 7- -1 13- 4 -2 |
Curve |
Equation |
t |
31850bw1 |
[1,0,0,-5645438,-5172408508] |
1 |
|
31850bx
(3 curves) |
0 |
2- 5+ 7- 13- |
2- 1 5+ 7- -3 13- 6 -2 |
Curve |
Equation |
t |
31850bx1 |
[1,0,0,-708598213,-7872487099583] |
1 |
31850bx2 |
[1,0,0,4363667412,7221331259792] |
1 |
31850bx3 |
[1,0,0,-61866416963,6281337194900417] |
1 |
|
31850by
(2 curves) |
0 |
2- 5+ 7- 13- |
2- 1 5+ 7- -3 13- -6 -2 |
Curve |
Equation |
t |
31850by1 |
[1,0,0,7937,-1787633] |
1 |
31850by2 |
[1,0,0,-71688,49251992] |
1 |
|
31850bz
(3 curves) |
0 |
2- 5+ 7- 13- |
2- 1 5+ 7- 6 13- -3 -2 |
Curve |
Equation |
t |
31850bz1 |
[1,0,0,587,-8933] |
1 |
31850bz2 |
[1,0,0,-5538,315692] |
1 |
31850bz3 |
[1,0,0,-562913,162511817] |
1 |
|
31850ca
(1 curve) |
0 |
2- 5+ 7- 13- |
2- -1 5+ 7- 1 13- -4 4 |
Curve |
Equation |
t |
31850ca1 |
[1,1,1,-5538,-422969] |
1 |
|
31850cb
(4 curves) |
0 |
2- 5+ 7- 13- |
2- -2 5+ 7- 0 13- 0 -2 |
Curve |
Equation |
t |
31850cb1 |
[1,0,0,-286063,-58835883] |
2 |
31850cb2 |
[1,0,0,-371813,-20677133] |
2 |
31850cb3 |
[1,0,0,-1161938,424567492] |
2 |
31850cb4 |
[1,0,0,-17968938,29315800492] |
2 |
|
31850cc
(2 curves) |
0 |
2- 5+ 7- 13- |
2- -2 5+ 7- 3 13- 3 4 |
Curve |
Equation |
t |
31850cc1 |
[1,0,0,-31263,-2162483] |
1 |
31850cc2 |
[1,0,0,121862,-10278108] |
1 |
|
31850cd
(2 curves) |
0 |
2- 5+ 7- 13- |
2- -2 5+ 7- -3 13- -3 7 |
Curve |
Equation |
t |
31850cd1 |
[1,0,0,-451438,-150398508] |
1 |
31850cd2 |
[1,0,0,3450187,1554611617] |
1 |
|
31850ce
(4 curves) |
2 |
2- 5+ 7- 13- |
2- -2 5+ 7- -6 13- -6 -2 |
Curve |
Equation |
t |
Generators |
31850ce1 |
[1,0,0,-39838,-3045708] |
2 |
[-122:110:1]&[382:-6316:1] |
31850ce2 |
[1,0,0,-15338,-6745208] |
2 |
[228:1160:1]&[372:-6436:1] |
31850ce3 |
[1,0,0,-254213,47332417] |
2 |
[1642:-64521:1]&[82:5159:1] |
31850ce4 |
[1,0,0,137787,180220417] |
2 |
[312:-16081:1]&[-338:9919:1] |
|
31850cf
(1 curve) |
1 |
2- 5- 7+ 13+ |
2- 1 5- 7+ -4 13+ 6 -2 |
Curve |
Equation |
t |
Generators |
31850cf1 |
[1,0,0,1812362,1472265892] |
1 |
[-498:21374:1] |
|
31850cg
(1 curve) |
0 |
2- 5- 7+ 13- |
2- 0 5- 7+ 6 13- 1 0 |
Curve |
Equation |
t |
31850cg1 |
[1,-1,1,-2680,6297] |
1 |
|
31850ch
(1 curve) |
0 |
2- 5- 7- 13+ |
2- 0 5- 7- 6 13+ -1 0 |
Curve |
Equation |
t |
31850ch1 |
[1,-1,1,-55,-3] |
1 |
|
31850ci
(1 curve) |
0 |
2- 5- 7- 13+ |
2- 1 5- 7- 1 13+ 3 -1 |
Curve |
Equation |
t |
31850ci1 |
[1,0,0,-3424513,-5346420983] |
1 |
|
31850cj
(2 curves) |
0 |
2- 5- 7- 13+ |
2- 2 5- 7- -3 13+ -3 4 |
Curve |
Equation |
t |
31850cj1 |
[1,1,1,-159888,31047281] |
1 |
31850cj2 |
[1,1,1,-13879888,19897607281] |
1 |
|
31850ck
(1 curve) |
0 |
2- 5- 7- 13+ |
2- -3 5- 7- -3 13+ 7 -1 |
Curve |
Equation |
t |
31850ck1 |
[1,-1,1,-27180,-1728303] |
1 |
|
31850cl
(2 curves) |
1 |
2- 5- 7- 13- |
2- 0 5- 7- 0 13- 2 2 |
Curve |
Equation |
t |
Generators |
31850cl1 |
[1,-1,1,-223180,-26975553] |
2 |
[-381:1815:1] |
31850cl2 |
[1,-1,1,634320,-184755553] |
2 |
[305:5931:1] |
|
31850cm
(1 curve) |
1 |
2- 5- 7- 13- |
2- 1 5- 7- 1 13- 7 3 |
Curve |
Equation |
t |
Generators |
31850cm1 |
[1,0,0,587,-60383] |
1 |
[186:2455:1] |
|
31850cn
(1 curve) |
1 |
2- 5- 7- 13- |
2- -1 5- 7- -1 13- -3 3 |
Curve |
Equation |
t |
Generators |
31850cn1 |
[1,1,1,-215013,78883531] |
1 |
[685:-16268:1] |
|
31850co
(1 curve) |
1 |
2- 5- 7- 13- |
2- -1 5- 7- -4 13- -6 2 |
Curve |
Equation |
t |
Generators |
31850co1 |
[1,1,1,36987,-4276469] |
1 |
[535:12732:1] |
|
31850cp
(2 curves) |
1 |
2- 5- 7- 13- |
2- 2 5- 7- 2 13- -2 0 |
Curve |
Equation |
t |
Generators |
31850cp1 |
[1,1,1,-2353,-40769] |
2 |
[-35:32:1] |
31850cp2 |
[1,1,1,-36653,-2716169] |
2 |
[-3003:1550:27] |
|
31850cq
(2 curves) |
1 |
2- 5- 7- 13- |
2- 2 5- 7- -4 13- 0 -4 |
Curve |
Equation |
t |
Generators |
31850cq1 |
[1,1,1,-2598,-35869] |
2 |
[111:973:1] |
31850cq2 |
[1,1,1,7202,-231869] |
2 |
[175:2447:1] |
|