Cremona's table of elliptic curves

26680 = 2³ · 5 · 23 · 29

Class	r	Atkin-Lehner	Eigenvalues
26680a (2 curves)	1	2+ 5+ 23+ 29+	2+ -2 5+  4 -4  6  4  4
Curve Equation t Generators 26680a1 [0,1,0,-891,-10166] 2 [-15:7:1] 26680a2 [0,1,0,-14116,-650256] 2 [1352:49532:1]
26680b (1 curve)	2	2+ 5+ 23- 29+	2+ -2 5+ -2  0  1 -3 -5
Curve Equation t Generators 26680b1 [0,1,0,-1,99] 1 [-5:2:1]&[-1:10:1]
26680c (2 curves)	1	2+ 5+ 23- 29-	2+  2 5+  0  6 -2  2  2
Curve Equation t Generators 26680c1 [0,-1,0,29,0] 2 [300:1070:27] 26680c2 [0,-1,0,-116,116] 2 [46:300:1]
26680d (2 curves)	1	2- 5+ 23- 29+	2- -2 5+  4  0 -2  8  8
Curve Equation t Generators 26680d1 [0,1,0,-9011,316510] 2 [-53:805:1] 26680d2 [0,1,0,-22236,-842000] 2 [-76:644:1]
26680e (1 curve)	1	2- 5- 23+ 29+	2- -1 5- -2 -5 -1 -6 -1
Curve Equation t Generators 26680e1 [0,-1,0,-17528160,28250493100] 1 [18410:-78125:8]
26680f (4 curves)	0	2- 5- 23+ 29-	2-  0 5-  0  0  6  2  0
Curve Equation t 26680f1 [0,0,0,-242,2261] 4 26680f2 [0,0,0,-4447,114114] 4 26680f3 [0,0,0,-5027,82446] 2 26680f4 [0,0,0,-71147,7304374] 2
26680g (4 curves)	0	2- 5- 23+ 29-	2-  0 5-  0 -4 -2  6  4
Curve Equation t 26680g1 [0,0,0,-10322,155589] 4 26680g2 [0,0,0,-88447,-10016286] 4 26680g3 [0,0,0,-15947,-25951786] 2 26680g4 [0,0,0,-1410947,-645080786] 2
26680h (1 curve)	0	2- 5- 23+ 29-	2-  1 5-  4  3  1  0  7
Curve Equation t 26680h1 [0,1,0,-640,-5600] 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