Cremona's table of elliptic curves

11739 = 3 · 7 · 13 · 43

Class	r	Atkin-Lehner	Eigenvalues
11739a (2 curves)	1	3+ 7+ 13+ 43+	1 3+  2 7+  0 13+ -2 -4
Curve Equation t Generators 11739a1 [1,1,0,26,-65] 2 [38:221:1] 11739a2 [1,1,0,-189,-882] 2 [-6:12:1]
11739b (2 curves)	1	3+ 7+ 13+ 43+	1 3+ -4 7+ -6 13+  4 -4
Curve Equation t Generators 11739b1 [1,1,0,-2327587,1365836560] 2 [22784:3420284:1] 11739b2 [1,1,0,-2316652,1379319415] 2 [-1686:23117:1]
11739c (2 curves)	2	3+ 7+ 13+ 43-	-1 3+ -4 7+  0 13+ -2 -4
Curve Equation t Generators 11739c1 [1,1,1,-20,-4] 2 [-4:7:1]&[-1:4:1] 11739c2 [1,1,1,-235,1286] 2 [-10:57:1]&[-1:39:1]
11739d (2 curves)	2	3+ 7- 13+ 43+	-1 3+  0 7- -4 13+ -6 -4
Curve Equation t Generators 11739d1 [1,1,1,-293,-2038] 2 [-10:8:1]&[70:536:1] 11739d2 [1,1,1,-508,1058] 2 [-23:46:1]&[-16:81:1]
11739e (1 curve)	1	3+ 7- 13+ 43-	0 3+ -1 7-  3 13+ -6  6
Curve Equation t Generators 11739e1 [0,-1,1,-60081,5688425] 1 [143:24:1]
11739f (4 curves)	1	3+ 7- 13- 43+	1 3+  2 7-  4 13-  6 -4
Curve Equation t Generators 11739f1 [1,1,0,-84,-333] 2 [4638:58601:27] 11739f2 [1,1,0,-129,0] 4 [688:17716:1] 11739f3 [1,1,0,-1494,21567] 2 [688390:17705743:1000] 11739f4 [1,1,0,516,645] 2 [28:181:1]
11739g (2 curves)	1	3- 7+ 13+ 43-	-1 3- -2 7+  4 13+  6  4
Curve Equation t Generators 11739g1 [1,0,0,-19774,2421419] 2 [205:2542:1] 11739g2 [1,0,0,-417309,103633830] 2 [33:9465:1]
11739h (2 curves)	1	3- 7- 13+ 43+	1 3-  0 7- -2 13+  0  4
Curve Equation t Generators 11739h1 [1,0,1,-81,271] 2 [183:83:27] 11739h2 [1,0,1,-66,379] 2 [19:68:1]
11739i (2 curves)	1	3- 7- 13- 43-	0 3-  3 7- -3 13- -6  2
Curve Equation t Generators 11739i1 [0,1,1,21,110] 3 [20:94:1] 11739i2 [0,1,1,-189,-3145] 1 [185:2515:1]

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