Class |
r |
Atkin-Lehner |
Eigenvalues |
2730a
(4 curves) |
1 |
2+ 3+ 5+ 7+ 13+ |
2+ 3+ 5+ 7+ -4 13+ 6 0 |
Curve |
Equation |
t |
Generators |
2730a1 |
[1,1,0,-22718,1179252] |
2 |
[-148:1226:1] |
2730a2 |
[1,1,0,-85438,-8366732] |
4 |
[-197:1030:1] |
2730a3 |
[1,1,0,-1315758,-581449788] |
2 |
[2641:118567:1] |
2730a4 |
[1,1,0,141362,-44972252] |
2 |
[363:7190:1] |
|
2730b
(4 curves) |
0 |
2+ 3+ 5+ 7+ 13- |
2+ 3+ 5+ 7+ 4 13- 6 4 |
Curve |
Equation |
t |
2730b1 |
[1,1,0,-493,-5603] |
2 |
2730b2 |
[1,1,0,-8493,-304803] |
4 |
2730b3 |
[1,1,0,-135893,-19338363] |
2 |
2730b4 |
[1,1,0,-9093,-260043] |
2 |
|
2730c
(4 curves) |
0 |
2+ 3+ 5+ 7+ 13- |
2+ 3+ 5+ 7+ 4 13- -6 -8 |
Curve |
Equation |
t |
2730c1 |
[1,1,0,-720043,118835197] |
2 |
2730c2 |
[1,1,0,-9859563,11906988093] |
4 |
2730c3 |
[1,1,0,-157734563,762431763093] |
2 |
2730c4 |
[1,1,0,-8216883,16006788837] |
2 |
|
2730d
(4 curves) |
0 |
2+ 3+ 5+ 7- 13+ |
2+ 3+ 5+ 7- 4 13+ 2 4 |
Curve |
Equation |
t |
2730d1 |
[1,1,0,-483,-627] |
2 |
2730d2 |
[1,1,0,-5603,-163443] |
4 |
2730d3 |
[1,1,0,-89603,-10361043] |
2 |
2730d4 |
[1,1,0,-3523,-283667] |
2 |
|
2730e
(2 curves) |
1 |
2+ 3+ 5+ 7- 13- |
2+ 3+ 5+ 7- 2 13- 4 -8 |
Curve |
Equation |
t |
Generators |
2730e1 |
[1,1,0,-75183,7787493] |
2 |
[141:51:1] |
2730e2 |
[1,1,0,-3503,22109157] |
2 |
[-269:2052:1] |
|
2730f
(4 curves) |
1 |
2+ 3+ 5+ 7- 13- |
2+ 3+ 5+ 7- -4 13- -2 4 |
Curve |
Equation |
t |
Generators |
2730f1 |
[1,1,0,7,213] |
2 |
[-2:15:1] |
2730f2 |
[1,1,0,-493,3913] |
4 |
[-12:97:1] |
2730f3 |
[1,1,0,-1143,-9477] |
2 |
[-17:82:1] |
2730f4 |
[1,1,0,-7843,264103] |
2 |
[51:-22:1] |
|
2730g
(2 curves) |
0 |
2+ 3+ 5- 7+ 13+ |
2+ 3+ 5- 7+ -2 13+ -2 -2 |
Curve |
Equation |
t |
2730g1 |
[1,1,0,-8127,273861] |
2 |
2730g2 |
[1,1,0,193,817989] |
2 |
|
2730h
(4 curves) |
1 |
2+ 3+ 5- 7- 13+ |
2+ 3+ 5- 7- 0 13+ -2 -4 |
Curve |
Equation |
t |
Generators |
2730h1 |
[1,1,0,-2,36] |
2 |
[0:6:1] |
2730h2 |
[1,1,0,-182,864] |
4 |
[-2:36:1] |
2730h3 |
[1,1,0,-332,-966] |
2 |
[-5:27:1] |
2730h4 |
[1,1,0,-2912,59286] |
2 |
[31:-13:1] |
|
2730i
(2 curves) |
1 |
2+ 3+ 5- 7- 13+ |
2+ 3+ 5- 7- -6 13+ 4 8 |
Curve |
Equation |
t |
Generators |
2730i1 |
[1,1,0,-1534592,692407296] |
2 |
[527:5249:1] |
2730i2 |
[1,1,0,1154528,2863602784] |
2 |
[-747:40186:1] |
|
2730j
(2 curves) |
0 |
2+ 3+ 5- 7- 13- |
2+ 3+ 5- 7- 2 13- 6 2 |
Curve |
Equation |
t |
2730j1 |
[1,1,0,-142,-524] |
2 |
2730j2 |
[1,1,0,378,-2916] |
2 |
|
2730k
(4 curves) |
0 |
2+ 3- 5+ 7+ 13+ |
2+ 3- 5+ 7+ -4 13+ -2 8 |
Curve |
Equation |
t |
2730k1 |
[1,0,1,-138890144,630009263342] |
2 |
2730k2 |
[1,0,1,-139893664,620442907886] |
4 |
2730k3 |
[1,0,1,-330949984,-1440519827218] |
2 |
2730k4 |
[1,0,1,35106336,2069162907886] |
2 |
|
2730l
(2 curves) |
0 |
2+ 3- 5+ 7+ 13+ |
2+ 3- 5+ 7+ 6 13+ -2 -2 |
Curve |
Equation |
t |
2730l1 |
[1,0,1,-99,-374] |
2 |
2730l2 |
[1,0,1,31,-1258] |
2 |
|
2730m
(4 curves) |
1 |
2+ 3- 5+ 7- 13+ |
2+ 3- 5+ 7- 0 13+ 2 -8 |
Curve |
Equation |
t |
Generators |
2730m1 |
[1,0,1,-619,5846] |
2 |
[16:2:1] |
2730m2 |
[1,0,1,-939,-938] |
4 |
[-25:96:1] |
2730m3 |
[1,0,1,-10739,-428218] |
2 |
[-60:61:1] |
2730m4 |
[1,0,1,3741,-6554] |
2 |
[14:213:1] |
|
2730n
(8 curves) |
0 |
2+ 3- 5+ 7- 13- |
2+ 3- 5+ 7- 0 13- -6 -4 |
Curve |
Equation |
t |
2730n1 |
[1,0,1,-3424,113582] |
6 |
2730n2 |
[1,0,1,-61744,5898926] |
12 |
2730n3 |
[1,0,1,27761,-1694014] |
2 |
2730n4 |
[1,0,1,-68764,4472462] |
6 |
2730n5 |
[1,0,1,-987844,377820686] |
6 |
2730n6 |
[1,0,1,-156559,-15923518] |
4 |
2730n7 |
[1,0,1,-2265679,-1312610494] |
2 |
2730n8 |
[1,0,1,-996559,370812482] |
2 |
|
2730o
(4 curves) |
0 |
2+ 3- 5+ 7- 13- |
2+ 3- 5+ 7- 6 13- 0 8 |
Curve |
Equation |
t |
2730o1 |
[1,0,1,-759,-3674] |
6 |
2730o2 |
[1,0,1,2671,-26998] |
6 |
2730o3 |
[1,0,1,-51474,-4499228] |
2 |
2730o4 |
[1,0,1,-51194,-4550524] |
2 |
|
2730p
(6 curves) |
0 |
2+ 3- 5+ 7- 13- |
2+ 3- 5+ 7- -6 13- 6 2 |
Curve |
Equation |
t |
2730p1 |
[1,0,1,-14344,660002] |
6 |
2730p2 |
[1,0,1,-14214,672586] |
6 |
2730p3 |
[1,0,1,-18259,270446] |
6 |
2730p4 |
[1,0,1,69621,2133502] |
6 |
2730p5 |
[1,0,1,-852274,-302906428] |
2 |
2730p6 |
[1,0,1,-818994,-327640124] |
2 |
|
2730q
(2 curves) |
0 |
2- 3+ 5+ 7+ 13+ |
2- 3+ 5+ 7+ -2 13+ -2 -2 |
Curve |
Equation |
t |
2730q1 |
[1,1,1,-46,-121] |
2 |
2730q2 |
[1,1,1,84,-537] |
2 |
|
2730r
(4 curves) |
0 |
2- 3+ 5+ 7+ 13+ |
2- 3+ 5+ 7+ 4 13+ -2 4 |
Curve |
Equation |
t |
2730r1 |
[1,1,1,126619,333285419] |
2 |
2730r2 |
[1,1,1,-6508901,6207047723] |
4 |
2730r3 |
[1,1,1,-15868901,-15699096277] |
2 |
2730r4 |
[1,1,1,-103317221,404166689579] |
2 |
|
2730s
(2 curves) |
1 |
2- 3+ 5+ 7+ 13- |
2- 3+ 5+ 7+ -2 13- 0 4 |
Curve |
Equation |
t |
Generators |
2730s1 |
[1,1,1,-91,233] |
2 |
[-1:18:1] |
2730s2 |
[1,1,1,189,1689] |
2 |
[9:60:1] |
|
2730t
(2 curves) |
0 |
2- 3+ 5+ 7- 13- |
2- 3+ 5+ 7- -2 13- 6 -2 |
Curve |
Equation |
t |
2730t1 |
[1,1,1,-12166,-521341] |
2 |
2730t2 |
[1,1,1,-10086,-702717] |
2 |
|
2730u
(2 curves) |
1 |
2- 3+ 5- 7+ 13+ |
2- 3+ 5- 7+ -2 13+ -8 4 |
Curve |
Equation |
t |
Generators |
2730u1 |
[1,1,1,-230,227] |
2 |
[57:-449:1] |
2730u2 |
[1,1,1,890,2915] |
2 |
[53:-477:1] |
|
2730v
(8 curves) |
0 |
2- 3+ 5- 7+ 13- |
2- 3+ 5- 7+ 4 13- 2 -4 |
Curve |
Equation |
t |
2730v1 |
[1,1,1,-21760,1242785] |
4 |
2730v2 |
[1,1,1,-349440,79361697] |
8 |
2730v3 |
[1,1,1,-350720,78749345] |
8 |
2730v4 |
[1,1,1,-5591040,5086138017] |
4 |
2730v5 |
[1,1,1,-688720,-98092255] |
4 |
2730v6 |
[1,1,1,-33200,216426017] |
8 |
2730v7 |
[1,1,1,-9218020,-10769952415] |
2 |
2730v8 |
[1,1,1,2432580,-737334495] |
2 |
|
2730w
(6 curves) |
0 |
2- 3+ 5- 7+ 13- |
2- 3+ 5- 7+ -4 13- 2 4 |
Curve |
Equation |
t |
2730w1 |
[1,1,1,-375,2637] |
4 |
2730w2 |
[1,1,1,-455,1325] |
8 |
2730w3 |
[1,1,1,-3835,-91963] |
4 |
2730w4 |
[1,1,1,1645,12245] |
4 |
2730w5 |
[1,1,1,-61165,-5847895] |
2 |
2730w6 |
[1,1,1,-585,-238863] |
2 |
|
2730x
(6 curves) |
1 |
2- 3+ 5- 7- 13- |
2- 3+ 5- 7- -4 13- -6 -4 |
Curve |
Equation |
t |
Generators |
2730x1 |
[1,1,1,-370,43007] |
4 |
[-23:211:1] |
2730x2 |
[1,1,1,-20850,1140735] |
8 |
[-107:1523:1] |
2730x3 |
[1,1,1,-36530,-828673] |
4 |
[-163:991:1] |
2730x4 |
[1,1,1,-332850,73774335] |
4 |
[333:-157:1] |
2730x5 |
[1,1,1,-462410,-121097185] |
2 |
[-397:523:1] |
2730x6 |
[1,1,1,138470,-6288673] |
2 |
[87:2491:1] |
|
2730y
(4 curves) |
1 |
2- 3- 5+ 7+ 13+ |
2- 3- 5+ 7+ -4 13+ -2 -4 |
Curve |
Equation |
t |
Generators |
2730y1 |
[1,0,0,64,0] |
2 |
[4:16:1] |
2730y2 |
[1,0,0,-256,-64] |
4 |
[-10:44:1] |
2730y3 |
[1,0,0,-2856,-58824] |
2 |
[-30:24:1] |
2730y4 |
[1,0,0,-2776,55880] |
2 |
[38:56:1] |
|
2730z
(4 curves) |
0 |
2- 3- 5+ 7- 13+ |
2- 3- 5+ 7- 0 13+ 2 4 |
Curve |
Equation |
t |
2730z1 |
[1,0,0,-318436,-54976240] |
2 |
2730z2 |
[1,0,0,-1629156,752165136] |
4 |
2730z3 |
[1,0,0,-25629156,49937765136] |
2 |
2730z4 |
[1,0,0,1399324,3228856080] |
2 |
|
2730ba
(4 curves) |
0 |
2- 3- 5+ 7- 13+ |
2- 3- 5+ 7- 0 13+ 2 4 |
Curve |
Equation |
t |
2730ba1 |
[1,0,0,-29946,-1997100] |
2 |
2730ba2 |
[1,0,0,-29966,-1994304] |
4 |
2730ba3 |
[1,0,0,-42116,-227694] |
2 |
2730ba4 |
[1,0,0,-18136,-3581890] |
2 |
|
2730bb
(2 curves) |
0 |
2- 3- 5- 7+ 13+ |
2- 3- 5- 7+ 2 13+ -4 4 |
Curve |
Equation |
t |
2730bb1 |
[1,0,0,-2055,35685] |
2 |
2730bb2 |
[1,0,0,-1985,38247] |
2 |
|
2730bc
(2 curves) |
0 |
2- 3- 5- 7+ 13+ |
2- 3- 5- 7+ 2 13+ 6 -6 |
Curve |
Equation |
t |
2730bc1 |
[1,0,0,-2307340,-1349135728] |
2 |
2730bc2 |
[1,0,0,-2174220,-1511622000] |
2 |
|
2730bd
(8 curves) |
0 |
2- 3- 5- 7- 13- |
2- 3- 5- 7- 0 13- 6 -4 |
Curve |
Equation |
t |
2730bd1 |
[1,0,0,-25725,1577457] |
12 |
2730bd2 |
[1,0,0,-41405,-576975] |
12 |
2730bd3 |
[1,0,0,-158925,-23336703] |
4 |
2730bd4 |
[1,0,0,-496405,-134437975] |
6 |
2730bd5 |
[1,0,0,162715,-4536903] |
6 |
2730bd6 |
[1,0,0,-2511905,-1532538075] |
4 |
2730bd7 |
[1,0,0,-40190455,-98072518885] |
2 |
2730bd8 |
[1,0,0,-2481035,-1572033153] |
2 |
|