Cremona's table of elliptic curves

198 = 2 · 3² · 11

Class	r	Atkin-Lehner	Eigenvalues
198d (4 curves)	0	2+ 3+ 11-	2+ 3+  0  2 11-  2  6  2
Curve Equation t 198d1 [1,-1,0,-87,333] 6 198d2 [1,-1,0,-147,-135] 6 198d3 [1,-1,0,-582,-5068] 2 198d4 [1,-1,0,-9222,-338572] 2
198e (4 curves)	0	2+ 3- 11+	2+ 3-  4 -2 11+  4  2  0
Curve Equation t 198e1 [1,-1,0,-405,-2187] 2 198e2 [1,-1,0,1035,-15147] 2 198e3 [1,-1,0,-90585,10516473] 2 198e4 [1,-1,0,-90495,10538343] 2
198a (4 curves)	1	2+ 3- 11-	2+ 3- -2 -4 11- -6 -2  4
Curve Equation t Generators 198a1 [1,-1,0,-18,4] 2 [-1:5:1] 198a2 [1,-1,0,-198,1120] 4 [2:26:1] 198a3 [1,-1,0,-3168,69430] 2 [33:-14:1] 198a4 [1,-1,0,-108,2074] 2 [-7:53:1]
198c (4 curves)	0	2- 3+ 11+	2- 3+  0  2 11+  2 -6  2
Curve Equation t 198c1 [1,-1,1,-65,209] 6 198c2 [1,-1,1,-1025,12881] 6 198c3 [1,-1,1,-785,-8207] 2 198c4 [1,-1,1,-1325,4969] 2
198b (4 curves)	0	2- 3- 11-	2- 3-  0  2 11- -4  6 -4
Curve Equation t 198b1 [1,-1,1,-50,-115] 2 198b2 [1,-1,1,40,-547] 2 198b3 [1,-1,1,-725,7661] 6 198b4 [1,-1,1,-365,15005] 6

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