Cremona's table of elliptic curves

6355 = 5 · 31 · 41

Class	r	Atkin-Lehner	Eigenvalues
6355a (2 curves)	0	5+ 31+ 41-	-1  2 5+ -2 -2 -2  6 -2
Curve Equation t 6355a1 [1,1,1,-13026,565598] 2 6355a2 [1,1,1,-8221,994204] 2
6355b (2 curves)	1	5+ 31- 41-	-1  2 5+ -2 -2  6 -2 -2
Curve Equation t Generators 6355b1 [1,1,1,-35576,2567224] 2 [-172:1992:1] 6355b2 [1,1,1,-30771,3291818] 2 [2091:94279:1]
6355c (2 curves)	1	5- 31+ 41-	1  2 5-  4 -6 -4  0 -4
Curve Equation t Generators 6355c1 [1,1,0,3,56] 2 [84:238:27] 6355c2 [1,1,0,-202,999] 2 [18:51:1]
6355d (4 curves)	1	5- 31+ 41-	-1  0 5-  0  0  2  6 -4
Curve Equation t Generators 6355d1 [1,-1,1,-157,-11244] 4 [10521:1073859:1] 6355d2 [1,-1,1,-8562,-300376] 4 [232:3071:1] 6355d3 [1,-1,1,-136687,-19416626] 2 [437:1821:1] 6355d4 [1,-1,1,-14917,210566] 2 [146:989:1]
6355e (1 curve)	1	5- 31+ 41-	2  0 5-  3 -3  2  0 -4
Curve Equation t Generators 6355e1 [0,0,1,-17,27] 1 [18:1:8]
6355f (1 curve)	1	5- 31- 41+	0  2 5- -1 -3  2  2  0
Curve Equation t Generators 6355f1 [0,-1,1,25,-92] 1 [4:7:1]
6355g (2 curves)	1	5- 31- 41+	1  2 5- -2 -4  0  8  4
Curve Equation t Generators 6355g1 [1,1,0,-17655897,21202393256] 2 [13533652:1251058174:1331] 6355g2 [1,1,0,-261796522,1630137940131] 2 [73086:219207:8]
6355h (2 curves)	0	5- 31- 41-	1  2 5-  4  2  0 -4  4
Curve Equation t 6355h1 [1,1,0,-1177,-12576] 2 6355h2 [1,1,0,2698,-73801] 2

Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

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