Cremona's table of elliptic curves

34840 = 2³ · 5 · 13 · 67

Class	r	Atkin-Lehner	Eigenvalues
34840a (1 curve)	1	2+ 5+ 13+ 67+	2+ -1 5+ -1 -2 13+  8  0
Curve Equation t Generators 34840a1 [0,-1,0,64,541] 1 [30:169:1]
34840b (1 curve)	2	2+ 5+ 13- 67+	2+ -2 5+  0  0 13- -3 -1
Curve Equation t Generators 34840b1 [0,1,0,-161,835] 1 [27:130:1]&[-13:30:1]
34840c (1 curve)	0	2+ 5+ 13- 67+	2+  3 5+  1  4 13-  0  4
Curve Equation t 34840c1 [0,0,0,17,-37] 1
34840d (1 curve)	2	2+ 5- 13+ 67+	2+  1 5- -5 -4 13+ -2  0
Curve Equation t Generators 34840d1 [0,1,0,1440,142025] 1 [-20:325:1]&[40:515:1]
34840e (1 curve)	0	2+ 5- 13+ 67+	2+ -1 5- -3  2 13+ -6  4
Curve Equation t 34840e1 [0,-1,0,-820,-205483] 1
34840f (1 curve)	2	2+ 5- 13+ 67+	2+ -2 5- -3  2 13+ -4  1
Curve Equation t Generators 34840f1 [0,1,0,-120,-32] 1 [-9:20:1]&[-4:20:1]
34840g (2 curves)	0	2- 5+ 13- 67-	2-  0 5+ -4  0 13-  6 -4
Curve Equation t 34840g1 [0,0,0,77,-258] 2 34840g2 [0,0,0,-443,-2442] 2
34840h (1 curve)	0	2- 5+ 13- 67-	2-  2 5+ -1  6 13- -4  1
Curve Equation t 34840h1 [0,-1,0,-3216,-69124] 1
34840i (1 curve)	0	2- 5+ 13- 67-	2- -3 5+ -1  6 13-  6 -4
Curve Equation t 34840i1 [0,0,0,-177823,93978103] 1
34840j (2 curves)	0	2- 5- 13- 67+	2- -2 5-  0  6 13-  6 -4
Curve Equation t 34840j1 [0,1,0,-200,640] 2 34840j2 [0,1,0,-2880,58528] 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
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