Cremona's table of elliptic curves

306 = 2 · 3² · 17

Class	r	Atkin-Lehner	Eigenvalues
306c (6 curves)	0	2+ 3- 17+	2+ 3-  2  0  4 -2 17+  4
Curve Equation t 306c1 [1,-1,0,-306,-1836] 2 306c2 [1,-1,0,-1026,10692] 4 306c3 [1,-1,0,-15606,754272] 4 306c4 [1,-1,0,2034,60264] 2 306c5 [1,-1,0,-249696,48087270] 2 306c6 [1,-1,0,-14796,835434] 2
306b (4 curves)	1	2+ 3- 17-	2+ 3-  0 -4 -6  2 17- -4
Curve Equation t Generators 306b1 [1,-1,0,-27,-27] 2 [-3:6:1] 306b2 [1,-1,0,-387,-2835] 2 [-11:6:1] 306b3 [1,-1,0,-927,11097] 6 [-32:101:1] 306b4 [1,-1,0,-1017,8883] 6 [7:42:1]
306a (4 curves)	0	2- 3- 17-	2- 3-  0  2  0  2 17- -4
Curve Equation t 306a1 [1,-1,1,-2300,-41857] 2 306a2 [1,-1,1,-1940,-55681] 2 306a3 [1,-1,1,-6755,163235] 6 306a4 [1,-1,1,16285,1020323] 6
306d (2 curves)	0	2- 3- 17-	2- 3-  4 -2  0 -6 17-  4
Curve Equation t 306d1 [1,-1,1,-23,-21] 2 306d2 [1,-1,1,67,-201] 2

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

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