Class |
r |
Atkin-Lehner |
Eigenvalues |
4200a
(4 curves) |
1 |
2+ 3+ 5+ 7+ |
2+ 3+ 5+ 7+ 0 -2 -2 4 |
Curve |
Equation |
t |
Generators |
4200a1 |
[0,-1,0,-908,-10188] |
2 |
[46:208:1] |
4200a2 |
[0,-1,0,-1408,2812] |
4 |
[-23:150:1] |
4200a3 |
[0,-1,0,-16408,812812] |
2 |
[177:1850:1] |
4200a4 |
[0,-1,0,5592,16812] |
2 |
[33:486:1] |
|
4200b
(1 curve) |
1 |
2+ 3+ 5+ 7+ |
2+ 3+ 5+ 7+ -3 -2 4 -2 |
Curve |
Equation |
t |
Generators |
4200b1 |
[0,-1,0,632,7837] |
1 |
[-2:81:1] |
|
4200c
(1 curve) |
0 |
2+ 3+ 5+ 7- |
2+ 3+ 5+ 7- 2 3 5 4 |
Curve |
Equation |
t |
4200c1 |
[0,-1,0,197672,58827532] |
1 |
|
4200d
(6 curves) |
0 |
2+ 3+ 5+ 7- |
2+ 3+ 5+ 7- 4 2 -2 4 |
Curve |
Equation |
t |
4200d1 |
[0,-1,0,-383,12012] |
2 |
4200d2 |
[0,-1,0,-10508,417012] |
4 |
4200d3 |
[0,-1,0,-15008,30012] |
4 |
4200d4 |
[0,-1,0,-168008,26562012] |
2 |
4200d5 |
[0,-1,0,-162008,-24959988] |
2 |
4200d6 |
[0,-1,0,59992,180012] |
2 |
|
4200e
(4 curves) |
0 |
2+ 3+ 5+ 7- |
2+ 3+ 5+ 7- -4 6 2 -8 |
Curve |
Equation |
t |
4200e1 |
[0,-1,0,-1783,-27188] |
2 |
4200e2 |
[0,-1,0,-4908,97812] |
4 |
4200e3 |
[0,-1,0,-72408,7522812] |
4 |
4200e4 |
[0,-1,0,12592,622812] |
2 |
|
4200f
(1 curve) |
0 |
2+ 3+ 5+ 7- |
2+ 3+ 5+ 7- -5 -4 -2 4 |
Curve |
Equation |
t |
4200f1 |
[0,-1,0,-7708,-257963] |
1 |
|
4200g
(2 curves) |
1 |
2+ 3+ 5- 7- |
2+ 3+ 5- 7- 2 -2 0 2 |
Curve |
Equation |
t |
Generators |
4200g1 |
[0,-1,0,-385708,-92072588] |
2 |
[1758:68264:1] |
4200g2 |
[0,-1,0,-383208,-93327588] |
2 |
[906:17388:1] |
|
4200h
(2 curves) |
1 |
2+ 3+ 5- 7- |
2+ 3+ 5- 7- 2 -2 0 -6 |
Curve |
Equation |
t |
Generators |
4200h1 |
[0,-1,0,-28,52] |
2 |
[-3:10:1] |
4200h2 |
[0,-1,0,72,252] |
2 |
[2:20:1] |
|
4200i
(1 curve) |
1 |
2+ 3+ 5- 7- |
2+ 3+ 5- 7- -3 -2 0 2 |
Curve |
Equation |
t |
Generators |
4200i1 |
[0,-1,0,-708,8037] |
1 |
[42:225:1] |
|
4200j
(1 curve) |
0 |
2+ 3- 5+ 7+ |
2+ 3- 5+ 7+ -2 5 3 -8 |
Curve |
Equation |
t |
4200j1 |
[0,1,0,-8,48] |
1 |
|
4200k
(6 curves) |
0 |
2+ 3- 5+ 7+ |
2+ 3- 5+ 7+ 4 2 6 4 |
Curve |
Equation |
t |
4200k1 |
[0,1,0,-18383,953238] |
4 |
4200k2 |
[0,1,0,-18508,939488] |
4 |
4200k3 |
[0,1,0,-43008,-2098512] |
4 |
4200k4 |
[0,1,0,3992,3099488] |
2 |
4200k5 |
[0,1,0,-610008,-183538512] |
2 |
4200k6 |
[0,1,0,131992,-14698512] |
2 |
|
4200l
(4 curves) |
0 |
2+ 3- 5+ 7+ |
2+ 3- 5+ 7+ -4 -2 2 0 |
Curve |
Equation |
t |
4200l1 |
[0,1,0,217,438] |
4 |
4200l2 |
[0,1,0,-908,2688] |
4 |
4200l3 |
[0,1,0,-8408,-297312] |
2 |
4200l4 |
[0,1,0,-11408,464688] |
2 |
|
4200m
(1 curve) |
0 |
2+ 3- 5+ 7+ |
2+ 3- 5+ 7+ 5 -2 -4 6 |
Curve |
Equation |
t |
4200m1 |
[0,1,0,-845208,-299548287] |
1 |
|
4200n
(1 curve) |
1 |
2+ 3- 5+ 7- |
2+ 3- 5+ 7- -1 -4 -2 -4 |
Curve |
Equation |
t |
Generators |
4200n1 |
[0,1,0,-68,633] |
1 |
[-8:27:1] |
|
4200o
(6 curves) |
1 |
2+ 3- 5+ 7- |
2+ 3- 5+ 7- -4 2 -2 -4 |
Curve |
Equation |
t |
Generators |
4200o1 |
[0,1,0,-4383,110238] |
2 |
[-7:375:1] |
4200o2 |
[0,1,0,-4508,103488] |
4 |
[3:300:1] |
4200o3 |
[0,1,0,-17008,-746512] |
4 |
[-76:336:1] |
4200o4 |
[0,1,0,5992,523488] |
2 |
[87:1308:1] |
4200o5 |
[0,1,0,-262008,-51706512] |
2 |
[603:3150:1] |
4200o6 |
[0,1,0,27992,-3986512] |
2 |
[299:5586:1] |
|
4200p
(1 curve) |
1 |
2+ 3- 5- 7+ |
2+ 3- 5- 7+ 3 0 -2 -8 |
Curve |
Equation |
t |
Generators |
4200p1 |
[0,1,0,-208,6713] |
1 |
[8:75:1] |
|
4200q
(4 curves) |
1 |
2- 3+ 5+ 7- |
2- 3+ 5+ 7- 0 2 -6 -4 |
Curve |
Equation |
t |
Generators |
4200q1 |
[0,-1,0,-183,-888] |
2 |
[-7:1:1] |
4200q2 |
[0,-1,0,-308,612] |
4 |
[-8:50:1] |
4200q3 |
[0,-1,0,-3808,91612] |
2 |
[46:108:1] |
4200q4 |
[0,-1,0,1192,3612] |
2 |
[22:200:1] |
|
4200r
(4 curves) |
1 |
2- 3+ 5+ 7- |
2- 3+ 5+ 7- 0 -6 2 4 |
Curve |
Equation |
t |
Generators |
4200r1 |
[0,-1,0,-699783,-225041688] |
2 |
[-487:119:1] |
4200r2 |
[0,-1,0,-777908,-171604188] |
4 |
[-724:3402:1] |
4200r3 |
[0,-1,0,-5065408,4261670812] |
2 |
[1502:6300:1] |
4200r4 |
[0,-1,0,2259592,-1186129188] |
2 |
[526:12152:1] |
|
4200s
(1 curve) |
1 |
2- 3+ 5+ 7- |
2- 3+ 5+ 7- 3 0 2 -8 |
Curve |
Equation |
t |
Generators |
4200s1 |
[0,-1,0,-8,57] |
1 |
[8:21:1] |
|
4200t
(1 curve) |
1 |
2- 3+ 5- 7+ |
2- 3+ 5- 7+ -1 4 2 -4 |
Curve |
Equation |
t |
Generators |
4200t1 |
[0,-1,0,-1708,82537] |
1 |
[16:243:1] |
|
4200u
(1 curve) |
0 |
2- 3+ 5- 7- |
2- 3+ 5- 7- -2 -5 -3 -8 |
Curve |
Equation |
t |
4200u1 |
[0,-1,0,-208,6412] |
1 |
|
4200v
(1 curve) |
0 |
2- 3+ 5- 7- |
2- 3+ 5- 7- 5 2 4 6 |
Curve |
Equation |
t |
4200v1 |
[0,-1,0,-33808,-2382863] |
1 |
|
4200w
(4 curves) |
1 |
2- 3- 5+ 7+ |
2- 3- 5+ 7+ 0 2 -6 -4 |
Curve |
Equation |
t |
Generators |
4200w1 |
[0,1,0,217,-10062] |
2 |
[459:9849:1] |
4200w2 |
[0,1,0,-5908,-169312] |
4 |
[-38:42:1] |
4200w3 |
[0,1,0,-93408,-11019312] |
2 |
[1848:78300:1] |
4200w4 |
[0,1,0,-16408,586688] |
2 |
[112:408:1] |
|
4200x
(4 curves) |
1 |
2- 3- 5+ 7+ |
2- 3- 5+ 7+ 0 -6 2 4 |
Curve |
Equation |
t |
Generators |
4200x1 |
[0,1,0,-183,6138] |
2 |
[3:75:1] |
4200x2 |
[0,1,0,-6308,189888] |
4 |
[118:-1050:1] |
4200x3 |
[0,1,0,-9808,-48112] |
2 |
[-16:324:1] |
4200x4 |
[0,1,0,-100808,12285888] |
2 |
[184:24:1] |
|
4200y
(1 curve) |
1 |
2- 3- 5+ 7+ |
2- 3- 5+ 7+ -3 2 0 2 |
Curve |
Equation |
t |
Generators |
4200y1 |
[0,1,0,-28,53] |
1 |
[2:3:1] |
|
4200z
(4 curves) |
0 |
2- 3- 5+ 7- |
2- 3- 5+ 7- 0 -2 -2 0 |
Curve |
Equation |
t |
4200z1 |
[0,1,0,-383,738] |
2 |
4200z2 |
[0,1,0,-3508,-80512] |
4 |
4200z3 |
[0,1,0,-56008,-5120512] |
2 |
4200z4 |
[0,1,0,-1008,-190512] |
4 |
|
4200ba
(4 curves) |
0 |
2- 3- 5+ 7- |
2- 3- 5+ 7- 4 2 6 0 |
Curve |
Equation |
t |
4200ba1 |
[0,1,0,-7908,-273312] |
2 |
4200ba2 |
[0,1,0,-8408,-237312] |
4 |
4200ba3 |
[0,1,0,-43408,3262688] |
2 |
4200ba4 |
[0,1,0,18592,-1425312] |
2 |
|
4200bb
(2 curves) |
0 |
2- 3- 5- 7+ |
2- 3- 5- 7+ 2 2 0 2 |
Curve |
Equation |
t |
4200bb1 |
[0,1,0,-15428,-742752] |
2 |
4200bb2 |
[0,1,0,-15328,-752752] |
2 |
|
4200bc
(2 curves) |
0 |
2- 3- 5- 7+ |
2- 3- 5- 7+ 2 2 0 -6 |
Curve |
Equation |
t |
4200bc1 |
[0,1,0,-708,5088] |
2 |
4200bc2 |
[0,1,0,1792,35088] |
2 |
|
4200bd
(1 curve) |
0 |
2- 3- 5- 7+ |
2- 3- 5- 7+ 2 -3 -5 4 |
Curve |
Equation |
t |
4200bd1 |
[0,1,0,4941792,7363325088] |
1 |
|
4200be
(1 curve) |
0 |
2- 3- 5- 7+ |
2- 3- 5- 7+ -5 4 2 4 |
Curve |
Equation |
t |
4200be1 |
[0,1,0,-308,-2187] |
1 |
|
4200bf
(1 curve) |
1 |
2- 3- 5- 7- |
2- 3- 5- 7- -3 2 -4 -2 |
Curve |
Equation |
t |
Generators |
4200bf1 |
[0,1,0,15792,1011213] |
1 |
[-42:525:1] |
|