Cremona's table of elliptic curves

5841 = 3² · 11 · 59

Class	r	Atkin-Lehner	Eigenvalues
5841a (2 curves)	1	3+ 11+ 59+	1 3+  0  0 11+ -2  0  4
Curve Equation t Generators 5841a1 [1,-1,0,-447,-3528] 2 [198:-15:8] 5841a2 [1,-1,0,-462,-3267] 2 [-12:27:1]
5841b (2 curves)	0	3+ 11+ 59-	-1 3+  0  4 11+ -6  8  8
Curve Equation t 5841b1 [1,-1,1,-125,-452] 2 5841b2 [1,-1,1,-1940,-32396] 2
5841c (2 curves)	0	3+ 11- 59+	1 3+  0  4 11- -6 -8  8
Curve Equation t 5841c1 [1,-1,0,-1122,13319] 2 5841c2 [1,-1,0,-17457,892142] 2
5841d (2 curves)	1	3+ 11- 59-	-1 3+  0  0 11- -2  0  4
Curve Equation t Generators 5841d1 [1,-1,1,-4025,99280] 2 [41:23:1] 5841d2 [1,-1,1,-4160,92368] 2 [1:296:1]
5841e (1 curve)	0	3- 11+ 59+	1 3-  1  1 11+ -4  2 -1
Curve Equation t 5841e1 [1,-1,0,-9,-108] 1
5841f (4 curves)	1	3- 11+ 59-	1 3-  2  0 11+  2  2 -4
Curve Equation t Generators 5841f1 [1,-1,0,-396,2299] 2 [-10:77:1] 5841f2 [1,-1,0,-5841,173272] 4 [646:3457:8] 5841f3 [1,-1,0,-93456,11020009] 2 [184590:89453:1000] 5841f4 [1,-1,0,-5346,203467] 2 [718:4951:8]
5841g (4 curves)	1	3- 11+ 59-	-1 3-  2  0 11+  2 -6 -4
Curve Equation t Generators 5841g1 [1,-1,1,-149,668] 2 [12:16:1] 5841g2 [1,-1,1,-554,-4192] 4 [39:160:1] 5841g3 [1,-1,1,-8519,-300490] 2 [1374:13799:8] 5841g4 [1,-1,1,931,-23794] 4 [2100:11923:64]
5841h (1 curve)	1	3- 11+ 59-	-2 3-  2  0 11+ -1 -7  2
Curve Equation t Generators 5841h1 [0,0,1,-3909,-94082] 1 [94:607:1]
5841i (2 curves)	1	3- 11- 59+	-1 3- -2  2 11- -2  0  6
Curve Equation t Generators 5841i1 [1,-1,1,-131,-534] 2 [-6:5:1] 5841i2 [1,-1,1,-266,870] 2 [-10:54:1]
5841j (1 curve)	1	3- 11- 59+	2 3- -2 -4 11-  7  3  6
Curve Equation t Generators 5841j1 [0,0,1,9789,49657] 1 [143048:2538851:512]

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

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