Cremona's table of elliptic curves

5330 = 2 · 5 · 13 · 41

Class	r	Atkin-Lehner	Eigenvalues
5330a (1 curve)	1	2+ 5+ 13- 41-	2+ -1 5+ -2 -2 13-  0 -4
Curve Equation t Generators 5330a1 [1,1,0,-643,-6703] 1 [76:587:1]
5330b (2 curves)	1	2- 5+ 13+ 41-	2-  0 5+ -2  2 13+  0  2
Curve Equation t Generators 5330b1 [1,-1,1,-148,-653] 2 [25:91:1] 5330b2 [1,-1,1,-198,-133] 2 [446:2971:8]
5330c (2 curves)	1	2- 5+ 13+ 41-	2-  2 5+  0 -2 13+ -6 -2
Curve Equation t Generators 5330c1 [1,1,1,-2271,40709] 2 [-9:250:1] 5330c2 [1,1,1,-2191,43813] 2 [37:104:1]
5330d (2 curves)	1	2- 5+ 13+ 41-	2- -2 5+ -2 -2 13+  6  2
Curve Equation t Generators 5330d1 [1,0,0,-111,-215] 2 [-4:15:1] 5330d2 [1,0,0,389,-1515] 2 [14:75:1]
5330e (4 curves)	0	2- 5+ 13- 41-	2- -2 5+  2  6 13-  6  2
Curve Equation t 5330e1 [1,0,0,-208526,32549380] 6 5330e2 [1,0,0,303474,167410180] 6 5330e3 [1,0,0,-4039566,-3120753404] 2 5330e4 [1,0,0,-2789566,-5087503404] 2
5330f (1 curve)	1	2- 5- 13+ 41+	2- -3 5-  0  2 13+ -4  2
Curve Equation t Generators 5330f1 [1,-1,1,3,21] 1 [1:4:1]
5330g (2 curves)	1	2- 5- 13- 41-	2-  0 5- -2  0 13- -2  4
Curve Equation t Generators 5330g1 [1,-1,1,-1047,3119] 2 [-13:126:1] 5330g2 [1,-1,1,4073,21551] 2 [11:254:1]
5330h (1 curve)	1	2- 5- 13- 41-	2-  1 5- -2 -2 13- -4  0
Curve Equation t Generators 5330h1 [1,0,0,1055,-35063] 1 [24:53:1]

Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
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