Cremona's table of elliptic curves

12765 = 3 · 5 · 23 · 37

Class	r	Atkin-Lehner	Eigenvalues
12765a (4 curves)	1	3+ 5+ 23+ 37+	1 3+ 5+  4  4 -6 -2  4
Curve Equation t Generators 12765a1 [1,1,0,-488,2547] 2 [-194:331:8] 12765a2 [1,1,0,-3133,-66752] 4 [122676:5309027:64] 12765a3 [1,1,0,-49708,-4286447] 2 [-55386560658:28422858563:428661064] 12765a4 [1,1,0,1122,-229293] 2 [483501864846:-2233889053089:8024024008]
12765b (1 curve)	0	3+ 5+ 23- 37+	0 3+ 5+  4 -2  3 -4 -6
Curve Equation t 12765b1 [0,-1,1,-361,-2694] 1
12765c (1 curve)	1	3+ 5+ 23- 37-	1 3+ 5+  5 -3 -3  3 -1
Curve Equation t Generators 12765c1 [1,1,0,-53,12] 1 [-8:6:1]
12765d (1 curve)	1	3+ 5- 23+ 37-	0 3+ 5-  0  2  1  0 -2
Curve Equation t Generators 12765d1 [0,-1,1,-18375,964883] 1 [59:287:1]
12765e (1 curve)	1	3- 5- 23+ 37+	1 3- 5-  3  1 -5 -3 -1
Curve Equation t Generators 12765e1 [1,0,1,-10053,-386369] 1 [-55:57:1]
12765f (2 curves)	0	3- 5- 23+ 37-	1 3- 5-  4  4  0 -2  8
Curve Equation t 12765f1 [1,0,1,2207,36431] 2 12765f2 [1,0,1,-12168,335431] 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