Cremona's table of elliptic curves

31175 = 5² · 29 · 43

Class	r	Atkin-Lehner	Eigenvalues
31175a (2 curves)	1	5+ 29+ 43+	0  2 5+  4  0 -2 -3  2
Curve Equation t Generators 31175a1 [0,-1,1,297,-62] 1 [732:4438:27] 31175a2 [0,-1,1,-4003,-103477] 1 [14846569707:-89813072447:160103007]
31175b (1 curve)	1	5+ 29+ 43+	-2  0 5+  2 -3 -5 -1 -2
Curve Equation t Generators 31175b1 [0,0,1,-298325,-62717094] 1 [3415:196837:1]
31175c (2 curves)	1	5- 29+ 43-	0 -2 5- -4  0  2  3  2
Curve Equation t Generators 31175c1 [0,1,1,7417,7119] 3 [714:9421:8] 31175c2 [0,1,1,-100083,-13134756] 1 [4879674:129039283:5832]
31175d (1 curve)	1	5- 29- 43+	1 -2 5-  1 -2  4  7 -5
Curve Equation t Generators 31175d1 [1,0,1,19924,1679673] 1 [51:1656:1]
31175e (1 curve)	2	5- 29- 43-	-1  2 5- -1 -2 -4 -7 -5
Curve Equation t Generators 31175e1 [1,1,1,797,13756] 1 [1300:-13297:64]&[76:683:1]

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