Class |
r |
Atkin-Lehner |
Eigenvalues |
1680a
(4 curves) |
1 |
2+ 3+ 5+ 7+ |
2+ 3+ 5+ 7+ 0 2 2 -4 |
Curve |
Equation |
t |
Generators |
1680a1 |
[0,-1,0,-36,96] |
2 |
[5:4:1] |
1680a2 |
[0,-1,0,-56,0] |
4 |
[-4:12:1] |
1680a3 |
[0,-1,0,-656,-6240] |
2 |
[-14:2:1] |
1680a4 |
[0,-1,0,224,-224] |
2 |
[10:54:1] |
|
1680b
(4 curves) |
0 |
2+ 3+ 5+ 7- |
2+ 3+ 5+ 7- 0 6 -2 -4 |
Curve |
Equation |
t |
1680b1 |
[0,-1,0,-27991,1811530] |
2 |
1680b2 |
[0,-1,0,-31116,1385280] |
4 |
1680b3 |
[0,-1,0,-202616,-34012320] |
2 |
1680b4 |
[0,-1,0,90384,9452880] |
4 |
|
1680c
(4 curves) |
0 |
2+ 3+ 5+ 7- |
2+ 3+ 5+ 7- 4 -6 -2 8 |
Curve |
Equation |
t |
1680c1 |
[0,-1,0,-71,246] |
2 |
1680c2 |
[0,-1,0,-196,-704] |
4 |
1680c3 |
[0,-1,0,-2896,-59024] |
2 |
1680c4 |
[0,-1,0,504,-5184] |
2 |
|
1680d
(6 curves) |
1 |
2+ 3+ 5- 7- |
2+ 3+ 5- 7- -4 -2 2 -4 |
Curve |
Equation |
t |
Generators |
1680d1 |
[0,-1,0,-15,-90] |
2 |
[354:1144:27] |
1680d2 |
[0,-1,0,-420,-3168] |
4 |
[52:336:1] |
1680d3 |
[0,-1,0,-6720,-209808] |
2 |
[97:204:1] |
1680d4 |
[0,-1,0,-600,0] |
8 |
[-20:60:1] |
1680d5 |
[0,-1,0,-6480,202272] |
4 |
[-76:500:1] |
1680d6 |
[0,-1,0,2400,-2400] |
4 |
[10:150:1] |
|
1680e
(4 curves) |
0 |
2+ 3- 5+ 7+ |
2+ 3- 5+ 7+ 0 -2 6 4 |
Curve |
Equation |
t |
1680e1 |
[0,1,0,9,84] |
2 |
1680e2 |
[0,1,0,-236,1260] |
4 |
1680e3 |
[0,1,0,-656,-4956] |
2 |
1680e4 |
[0,1,0,-3736,86660] |
4 |
|
1680f
(4 curves) |
0 |
2+ 3- 5+ 7+ |
2+ 3- 5+ 7+ 4 2 -2 0 |
Curve |
Equation |
t |
1680f1 |
[0,1,0,9,0] |
2 |
1680f2 |
[0,1,0,-36,-36] |
4 |
1680f3 |
[0,1,0,-456,-3900] |
2 |
1680f4 |
[0,1,0,-336,2244] |
2 |
|
1680g
(4 curves) |
1 |
2+ 3- 5+ 7- |
2+ 3- 5+ 7- -4 -2 -6 0 |
Curve |
Equation |
t |
Generators |
1680g1 |
[0,1,0,-316,2060] |
2 |
[11:6:1] |
1680g2 |
[0,1,0,-336,1764] |
4 |
[-6:60:1] |
1680g3 |
[0,1,0,-1736,-26796] |
2 |
[-20:18:1] |
1680g4 |
[0,1,0,744,11700] |
2 |
[-6:84:1] |
|
1680h
(6 curves) |
1 |
2+ 3- 5- 7+ |
2+ 3- 5- 7+ -4 -2 -6 -4 |
Curve |
Equation |
t |
Generators |
1680h1 |
[0,1,0,-735,-7920] |
2 |
[48:264:1] |
1680h2 |
[0,1,0,-740,-7812] |
4 |
[-17:12:1] |
1680h3 |
[0,1,0,-1720,16100] |
8 |
[-40:150:1] |
1680h4 |
[0,1,0,160,-24732] |
2 |
[43:252:1] |
1680h5 |
[0,1,0,-24400,1458548] |
8 |
[-154:1260:1] |
1680h6 |
[0,1,0,5280,119700] |
4 |
[-12:234:1] |
|
1680i
(4 curves) |
0 |
2+ 3- 5- 7- |
2+ 3- 5- 7- 0 2 2 0 |
Curve |
Equation |
t |
1680i1 |
[0,1,0,-15,-12] |
2 |
1680i2 |
[0,1,0,-140,588] |
4 |
1680i3 |
[0,1,0,-2240,40068] |
2 |
1680i4 |
[0,1,0,-40,1508] |
4 |
|
1680j
(6 curves) |
0 |
2+ 3- 5- 7- |
2+ 3- 5- 7- 4 -2 2 4 |
Curve |
Equation |
t |
1680j1 |
[0,1,0,-175,-952] |
2 |
1680j2 |
[0,1,0,-180,-900] |
4 |
1680j3 |
[0,1,0,-680,5700] |
8 |
1680j4 |
[0,1,0,240,-4092] |
2 |
1680j5 |
[0,1,0,-10480,409460] |
4 |
1680j6 |
[0,1,0,1120,32340] |
4 |
|
1680k
(8 curves) |
0 |
2- 3+ 5+ 7+ |
2- 3+ 5+ 7+ 0 2 -6 4 |
Curve |
Equation |
t |
1680k1 |
[0,-1,0,-656,2496] |
2 |
1680k2 |
[0,-1,0,-5776,-165440] |
4 |
1680k3 |
[0,-1,0,-42896,3433920] |
2 |
1680k4 |
[0,-1,0,-92176,-10740800] |
2 |
1680k5 |
[0,-1,0,-1296,-419904] |
2 |
1680k6 |
[0,-1,0,-43216,3380416] |
4 |
1680k7 |
[0,-1,0,-103216,-7995584] |
2 |
1680k8 |
[0,-1,0,11664,11327040] |
2 |
|
1680l
(4 curves) |
0 |
2- 3+ 5+ 7+ |
2- 3+ 5+ 7+ -6 -4 6 -2 |
Curve |
Equation |
t |
1680l1 |
[0,-1,0,-61,-164] |
2 |
1680l2 |
[0,-1,0,-36,-324] |
2 |
1680l3 |
[0,-1,0,-301,1960] |
2 |
1680l4 |
[0,-1,0,324,8460] |
2 |
|
1680m
(8 curves) |
1 |
2- 3+ 5- 7+ |
2- 3+ 5- 7+ 0 2 -6 -8 |
Curve |
Equation |
t |
Generators |
1680m1 |
[0,-1,0,-7960,-270608] |
2 |
[-51:10:1] |
1680m2 |
[0,-1,0,-9240,-176400] |
4 |
[-70:350:1] |
1680m3 |
[0,-1,0,-23560,1065712] |
2 |
[-3:1066:1] |
1680m4 |
[0,-1,0,-69720,6984432] |
4 |
[124:480:1] |
1680m5 |
[0,-1,0,30760,-1328400] |
2 |
[90:1470:1] |
1680m6 |
[0,-1,0,-351240,80233200] |
4 |
[2:8918:1] |
1680m7 |
[0,-1,0,-5619720,5129544432] |
4 |
[1538:11050:1] |
1680m8 |
[0,-1,0,-325640,92398320] |
2 |
[842:20358:1] |
|
1680n
(4 curves) |
1 |
2- 3+ 5- 7+ |
2- 3+ 5- 7+ 0 -6 2 8 |
Curve |
Equation |
t |
Generators |
1680n1 |
[0,-1,0,-40,-80] |
2 |
[-3:2:1] |
1680n2 |
[0,-1,0,-120,432] |
4 |
[-6:30:1] |
1680n3 |
[0,-1,0,-1800,30000] |
4 |
[-20:240:1] |
1680n4 |
[0,-1,0,280,2352] |
2 |
[2:54:1] |
|
1680o
(2 curves) |
0 |
2- 3+ 5- 7- |
2- 3+ 5- 7- -2 4 2 2 |
Curve |
Equation |
t |
1680o1 |
[0,-1,0,-5,0] |
2 |
1680o2 |
[0,-1,0,20,-20] |
2 |
|
1680p
(8 curves) |
0 |
2- 3+ 5- 7- |
2- 3+ 5- 7- 4 -2 2 -4 |
Curve |
Equation |
t |
1680p1 |
[0,-1,0,3360,-57600] |
2 |
1680p2 |
[0,-1,0,-17120,-499968] |
4 |
1680p3 |
[0,-1,0,-241120,-45479168] |
2 |
1680p4 |
[0,-1,0,-120800,15840000] |
8 |
1680p5 |
[0,-1,0,-1920800,1025280000] |
8 |
1680p6 |
[0,-1,0,20320,50499072] |
4 |
1680p7 |
[0,-1,0,-30732800,65587209600] |
4 |
1680p8 |
[0,-1,0,-1908800,1038710400] |
4 |
|
1680q
(2 curves) |
0 |
2- 3- 5+ 7- |
2- 3- 5+ 7- -2 4 6 -6 |
Curve |
Equation |
t |
1680q1 |
[0,1,0,-4061,-67590] |
2 |
1680q2 |
[0,1,0,11564,-448840] |
2 |
|
1680r
(4 curves) |
0 |
2- 3- 5+ 7- |
2- 3- 5+ 7- 4 -2 -6 0 |
Curve |
Equation |
t |
1680r1 |
[0,1,0,-56,84] |
2 |
1680r2 |
[0,1,0,-376,-2860] |
4 |
1680r3 |
[0,1,0,-5976,-179820] |
2 |
1680r4 |
[0,1,0,104,-9196] |
2 |
|
1680s
(2 curves) |
0 |
2- 3- 5- 7+ |
2- 3- 5- 7+ 2 4 2 -2 |
Curve |
Equation |
t |
1680s1 |
[0,1,0,-565,-5362] |
2 |
1680s2 |
[0,1,0,-540,-5832] |
2 |
|
1680t
(6 curves) |
0 |
2- 3- 5- 7+ |
2- 3- 5- 7+ -4 -2 2 4 |
Curve |
Equation |
t |
1680t1 |
[0,1,0,160,1140] |
2 |
1680t2 |
[0,1,0,-1120,10868] |
4 |
1680t3 |
[0,1,0,-5920,-167692] |
2 |
1680t4 |
[0,1,0,-16800,832500] |
8 |
1680t5 |
[0,1,0,-268800,53550900] |
4 |
1680t6 |
[0,1,0,-15680,949428] |
8 |
|