Cremona's table of elliptic curves

5874 = 2 · 3 · 11 · 89

Class	r	Atkin-Lehner	Eigenvalues
5874a (2 curves)	0	2+ 3+ 11+ 89-	2+ 3+  2  4 11+  2  2 -6
Curve Equation t 5874a1 [1,1,0,-12634,538900] 2 5874a2 [1,1,0,-19674,-138348] 2
5874b (2 curves)	1	2+ 3+ 11- 89-	2+ 3+  0 -4 11-  2 -2  4
Curve Equation t Generators 5874b1 [1,1,0,-60,156] 2 [2:6:1] 5874b2 [1,1,0,-50,222] 2 [-1:17:1]
5874c (1 curve)	1	2+ 3+ 11- 89-	2+ 3+  2  0 11-  5  5 -2
Curve Equation t Generators 5874c1 [1,1,0,1986,15732] 1 [-4:90:1]
5874d (4 curves)	1	2+ 3+ 11- 89-	2+ 3+ -2  0 11-  2  6 -4
Curve Equation t Generators 5874d1 [1,1,0,-146,-204] 2 [13:11:1] 5874d2 [1,1,0,-1426,20020] 4 [4:118:1] 5874d3 [1,1,0,-22786,1314436] 4 [-136:1454:1] 5874d4 [1,1,0,-546,45540] 2 [-19:232:1]
5874e (2 curves)	1	2- 3+ 11+ 89-	2- 3+  0  0 11+  2 -6  4
Curve Equation t Generators 5874e1 [1,1,1,-548,4709] 2 [11:7:1] 5874e2 [1,1,1,-508,5477] 2 [-5:91:1]
5874f (2 curves)	0	2- 3- 11+ 89-	2- 3- -2  4 11+ -2  6  6
Curve Equation t 5874f1 [1,0,0,-24,-36] 2 5874f2 [1,0,0,-134,558] 2
5874g (2 curves)	1	2- 3- 11- 89-	2- 3-  0 -2 11- -4 -2  0
Curve Equation t Generators 5874g1 [1,0,0,-4763,115665] 2 [174:2049:1] 5874g2 [1,0,0,5477,547793] 2 [-38:553:1]

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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