Cremona's table of elliptic curves

13325 = 5² · 13 · 41

Class	r	Atkin-Lehner	Eigenvalues
13325a (1 curve)	0	5+ 13+ 41-	1  1 5+  4 -6 13+ -8  6
Curve Equation t 13325a1 [1,0,1,-3401,76573] 1
13325b (2 curves)	0	5+ 13+ 41-	1  2 5+ -2 -2 13+  2 -6
Curve Equation t 13325b1 [1,1,0,-3400,73875] 2 13325b2 [1,1,0,-275,208250] 2
13325c (1 curve)	1	5+ 13- 41-	0 -3 5+  2  0 13- -2  0
Curve Equation t Generators 13325c1 [0,0,1,-13750,-549219] 1 [-69:266:1]
13325d (2 curves)	1	5+ 13- 41-	1  2 5+ -2  2 13- -2  6
Curve Equation t Generators 13325d1 [1,1,0,-6061275,-5746243000] 2 [790340310480:-113643603952115:37933056] 13325d2 [1,1,0,-5983150,-5901477375] 2 [42376920:913893415:13824]
13325e (2 curves)	1	5+ 13- 41-	1 -2 5+  2  6 13-  6  2
Curve Equation t Generators 13325e1 [1,0,1,-2255526,1303638323] 2 [803:2822:1] 13325e2 [1,0,1,-2255401,1303790073] 2 [7446:22923:8]
13325f (2 curves)	1	5+ 13- 41-	-1  0 5+ -2  0 13- -2  4
Curve Equation t Generators 13325f1 [1,-1,1,-1380,-19378] 2 [79:560:1] 13325f2 [1,-1,1,-1255,-23128] 2 [59:295:1]
13325g (1 curve)	1	5+ 13- 41-	-2  0 5+ -5 -3 13-  0 -3
Curve Equation t Generators 13325g1 [0,0,1,-35,-34] 1 [-4:6:1]
13325h (1 curve)	1	5- 13+ 41-	0  3 5- -2  0 13+  2  0
Curve Equation t Generators 13325h1 [0,0,1,-550,-4394] 1 [-348:622:27]
13325i (1 curve)	1	5- 13+ 41-	2  0 5-  5 -3 13+  0 -3
Curve Equation t Generators 13325i1 [0,0,1,-875,-4219] 1 [-721658:3858091:54872]

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

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