Cremona's table of elliptic curves

7644 = 2² · 3 · 7² · 13

Class	r	Atkin-Lehner	Eigenvalues
7644a (4 curves)	1	2- 3+ 7- 13+	2- 3+  0 7-  0 13+  6 -2
Curve Equation t Generators 7644a1 [0,-1,0,-653,78] 2 [-23:49:1] 7644a2 [0,-1,0,-7268,-235416] 2 [-50:22:1] 7644a3 [0,-1,0,-35933,2633730] 2 [-86:2254:1] 7644a4 [0,-1,0,-36668,2521128] 2 [-694:17963:8]
7644b (1 curve)	1	2- 3+ 7- 13+	2- 3+  1 7-  2 13+  6  1
Curve Equation t Generators 7644b1 [0,-1,0,14635,87249] 1 [131:2058:1]
7644c (2 curves)	0	2- 3+ 7- 13-	2- 3+  2 7-  0 13-  4  8
Curve Equation t 7644c1 [0,-1,0,2483,-81458] 2 7644c2 [0,-1,0,-19812,-875160] 2
7644d (1 curve)	0	2- 3+ 7- 13-	2- 3+  3 7-  2 13- -6  7
Curve Equation t 7644d1 [0,-1,0,-94807029,355402577601] 1
7644e (1 curve)	0	2- 3- 7- 13+	2- 3-  1 7-  2 13+  4 -1
Curve Equation t 7644e1 [0,1,0,-97085,-29268513] 1
7644f (1 curve)	0	2- 3- 7- 13+	2- 3- -3 7-  2 13+  6 -7
Curve Equation t 7644f1 [0,1,0,-1934837,-1036711929] 1
7644g (2 curves)	0	2- 3- 7- 13+	2- 3-  4 7- -4 13+ -2  2
Curve Equation t 7644g1 [0,1,0,-261,-1548] 2 7644g2 [0,1,0,-996,10212] 2
7644h (2 curves)	1	2- 3- 7- 13-	2- 3-  0 7- -2 13- -4 -4
Curve Equation t Generators 7644h1 [0,1,0,-15353,-1425684] 2 [520:11466:1] 7644h2 [0,1,0,-305188,-64957516] 2 [-325:78:1]
7644i (1 curve)	1	2- 3- 7- 13-	2- 3- -1 7-  2 13- -6 -1
Curve Equation t Generators 7644i1 [0,1,0,299,-169] 1 [65:546:1]
7644j (1 curve)	1	2- 3- 7- 13-	2- 3- -1 7- -6 13-  8 -3
Curve Equation t Generators 7644j1 [0,1,0,-17901,938223] 1 [93:294:1]
7644k (2 curves)	1	2- 3- 7- 13-	2- 3-  2 7-  0 13- -4  0
Curve Equation t Generators 7644k1 [0,1,0,-1437,-23892] 2 [107:1029:1] 7644k2 [0,1,0,-23732,-1415100] 2 [4800:3430:27]

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