Cremona's table of elliptic curves

16960 = 2⁶ · 5 · 53

Class	r	Atkin-Lehner	Eigenvalues
16960a (2 curves)	1	2+ 5+ 53+	2+  0 5+ -2  0  2 -6  2
Curve Equation t Generators 16960a1 [0,0,0,-268,-528] 2 [-11:33:1] 16960a2 [0,0,0,1012,-4112] 2 [94:960:1]
16960b (1 curve)	1	2+ 5+ 53+	2+  1 5+  2  0 -1 -5  5
Curve Equation t Generators 16960b1 [0,1,0,-161,-961] 1 [29:140:1]
16960c (1 curve)	1	2+ 5+ 53+	2+  3 5+ -2  0 -1  3 -1
Curve Equation t Generators 16960c1 [0,0,0,78452,15813872] 1 [4839252:192925000:35937]
16960d (1 curve)	0	2+ 5- 53+	2+  1 5- -2  4  3 -1  1
Curve Equation t 16960d1 [0,1,0,575,5023] 1
16960e (2 curves)	0	2+ 5- 53+	2+ -1 5-  2  0 -5  3 -5
Curve Equation t 16960e1 [0,-1,0,-865,-95263] 1 16960e2 [0,-1,0,-187425,-31169375] 1
16960f (1 curve)	2	2+ 5- 53+	2+ -1 5- -2  2 -5 -7 -7
Curve Equation t Generators 16960f1 [0,-1,0,175,625] 1 [-3:8:1]&[5:40:1]
16960g (2 curves)	1	2+ 5- 53-	2+  0 5-  2  0  6 -6  2
Curve Equation t Generators 16960g1 [0,0,0,-8812,318384] 2 [53:15:1] 16960g2 [0,0,0,-8492,342576] 2 [-58:800:1]
16960h (2 curves)	1	2+ 5- 53-	2+  2 5-  0  0 -6  2 -6
Curve Equation t Generators 16960h1 [0,-1,0,-11040,450362] 2 [59:30:1] 16960h2 [0,-1,0,-176665,28639737] 2 [99:3480:1]
16960i (2 curves)	1	2+ 5- 53-	2+ -2 5-  0  0 -6  2  6
Curve Equation t Generators 16960i1 [0,1,0,-11040,-450362] 2 [621:15250:1] 16960i2 [0,1,0,-176665,-28639737] 2 [5498:105835:8]
16960j (2 curves)	0	2- 5+ 53+	2-  0 5+  2  0  2 -6 -2
Curve Equation t 16960j1 [0,0,0,-268,528] 2 16960j2 [0,0,0,1012,4112] 2
16960k (1 curve)	0	2- 5+ 53+	2-  1 5+  2  2  3  5 -5
Curve Equation t 16960k1 [0,1,0,-136,1810] 1
16960l (1 curve)	2	2- 5+ 53+	2- -1 5+ -2  0 -1 -5 -5
Curve Equation t Generators 16960l1 [0,-1,0,-161,961] 1 [-9:40:1]&[5:16:1]
16960m (1 curve)	0	2- 5+ 53+	2- -1 5+ -2 -2  3  5  5
Curve Equation t 16960m1 [0,-1,0,-136,-1810] 1
16960n (1 curve)	0	2- 5+ 53+	2- -3 5+  2  0 -1  3  1
Curve Equation t 16960n1 [0,0,0,78452,-15813872] 1
16960o (1 curve)	1	2- 5- 53+	2-  1 5-  2 -2 -5 -7  7
Curve Equation t Generators 16960o1 [0,1,0,175,-625] 1 [5:20:1]
16960p (2 curves)	1	2- 5- 53+	2-  1 5- -2  0 -5  3  5
Curve Equation t Generators 16960p1 [0,1,0,-865,95263] 1 [-9:320:1] 16960p2 [0,1,0,-187425,31169375] 1 [295:1280:1]
16960q (1 curve)	1	2- 5- 53+	2- -1 5-  2 -4  3 -1 -1
Curve Equation t Generators 16960q1 [0,-1,0,575,-5023] 1 [37:256:1]
16960r (2 curves)	0	2- 5- 53-	2-  0 5- -2  0  6 -6 -2
Curve Equation t 16960r1 [0,0,0,-8812,-318384] 2 16960r2 [0,0,0,-8492,-342576] 2

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