Cremona's table of elliptic curves

338 = 2 · 13²

Class	r	Atkin-Lehner	Eigenvalues
338a (2 curves)	1	2+ 13+	2+  0  1 -4 -4 13+  3  0
Curve Equation t Generators 338a1 [1,-1,0,1,1] 1 [0:1:1] 338a2 [1,-1,0,-389,-2859] 1 [26:51:1]
338f (2 curves)	1	2+ 13+	2+ -3  1 -1  2 13+ -3 -6
Curve Equation t Generators 338f1 [1,-1,0,-454,5812] 1 [23:73:1] 338f2 [1,-1,0,-35944,-2868878] 1 [10839:180227:27]
338d (2 curves)	0	2+ 13-	2+ -1  3  3  0 13- -3  6
Curve Equation t 338d1 [1,1,0,504,-13112] 1 338d2 [1,1,0,-54421,4945517] 1
338b (2 curves)	0	2- 13+	2-  0 -1  4  4 13+  3  0
Curve Equation t 338b1 [1,-1,1,137,2643] 1 338b2 [1,-1,1,-65773,-6478507] 1
338c (3 curves)	0	2- 13+	2-  1  3  1 -6 13+ -3 -2
Curve Equation t 338c1 [1,0,0,81,467] 1 338c2 [1,0,0,-764,-16264] 1 338c3 [1,0,0,-77659,-8336303] 1
338e (2 curves)	1	2- 13-	2- -1 -3 -3  0 13- -3 -6
Curve Equation t Generators 338e1 [1,1,1,3,-5] 1 [5:10:1] 338e2 [1,1,1,-322,2127] 1 [5:23:1]

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

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