Cremona's table of elliptic curves

8281 = 7² · 13²

Class	r	Atkin-Lehner	Eigenvalues
8281a (1 curve)	1	7+ 13+	1 -3  3 7+ -3 13+ -2 -1
Curve Equation t Generators 8281a1 [1,-1,0,-47098,-2131193] 1 [-250338:414193:1331]
8281b (2 curves)	1	7+ 13+	-1  0  0 7+  3 13+  7  7
Curve Equation t Generators 8281b1 [1,-1,1,-18115,943128] 1 [114:534:1] 8281b2 [1,-1,1,106100,-38838796] 1 [842:25013:1]
8281c (1 curve)	1	7+ 13+	-1 -3 -3 7+  3 13+ -2  1
Curve Equation t Generators 8281c1 [1,-1,1,-279,-906] 1 [-12:30:1]
8281d (3 curves)	0	7- 13+	0  2 -3 7-  0 13+  6 -7
Curve Equation t 8281d1 [0,-1,1,-60727,-5750158] 1 8281d2 [0,-1,1,104893,-28663685] 1 8281d3 [0,-1,1,-971637,908886292] 1
8281e (1 curve)	0	7- 13+	1  3 -3 7- -3 13+  2  1
Curve Equation t 8281e1 [1,-1,0,-961,6488] 1
8281f (2 curves)	0	7- 13+	-1  0  0 7-  3 13+ -7 -7
Curve Equation t 8281f1 [1,-1,1,-887620,-321717756] 1 8281f2 [1,-1,1,5198915,13311309106] 1
8281g (4 curves)	0	7- 13+	-1  0  0 7- -4 13+  0  0
Curve Equation t 8281g1 [1,-1,1,-370,-3272] 2 8281g2 [1,-1,1,-6285,-190186] 2 8281g3 [1,-1,1,-18115,1158434] 2 8281g4 [1,-1,1,-307950,65849606] 2
8281h (1 curve)	0	7- 13+	-1  3  3 7-  3 13+  2 -1
Curve Equation t 8281h1 [1,-1,1,-6,4] 1
8281i (1 curve)	0	7- 13+	2  0 -3 7-  6 13+ -4  5
Curve Equation t 8281i1 [0,0,1,8281,-188393] 1
8281j (1 curve)	1	7- 13-	2  2 -1 7- -2 13- -6  3
Curve Equation t Generators 8281j1 [0,-1,1,-1486,26795] 1 [-828:13345:64]
8281k (1 curve)	1	7- 13-	2 -2  1 7- -2 13-  6 -3
Curve Equation t Generators 8281k1 [0,1,1,-30,-87] 1 [58:87:8]
8281l (1 curve)	1	7- 13-	-2  2  1 7-  2 13- -6 -3
Curve Equation t Generators 8281l1 [0,-1,1,-251190,57864484] 1 [49758:753463:216]
8281m (1 curve)	1	7- 13-	-2 -2 -1 7-  2 13-  6  3
Curve Equation t Generators 8281m1 [0,1,1,-5126,-170166] 1 [394:7689:1]

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

Part of Computational Number Theory
Back to Tables and computations