Cremona's table of elliptic curves

3315 = 3 · 5 · 13 · 17

Class	r	Atkin-Lehner	Eigenvalues
3315a (1 curve)	0	3+ 5+ 13+ 17-	0 3+ 5+  2  2 13+ 17-  2
Curve Equation t 3315a1 [0,-1,1,-651,10541] 1
3315b (4 curves)	2	3+ 5+ 13- 17+	-1 3+ 5+ -4 -4 13- 17+ -4
Curve Equation t Generators 3315b1 [1,1,1,-26,38] 2 [-6:7:1]&[-1:8:1] 3315b2 [1,1,1,-71,-196] 4 [-7:7:1]&[-6:10:1] 3315b3 [1,1,1,-1046,-13456] 2 [-19:10:1]&[37:-4:1] 3315b4 [1,1,1,184,-1012] 2 [8:28:1]&[11:44:1]
3315c (4 curves)	1	3+ 5+ 13- 17-	1 3+ 5+  4 -4 13- 17-  0
Curve Equation t Generators 3315c1 [1,1,0,226942,65848887] 2 [33470:1493137:125] 3315c2 [1,1,0,-1726183,703739512] 4 [1848:60956:1] 3315c3 [1,1,0,-8591808,-9068791113] 2 [82878:8014011:8] 3315c4 [1,1,0,-26110558,51340332637] 4 [185516:79782167:1]
3315d (1 curve)	0	3+ 5- 13- 17-	0 3+ 5-  2  2 13- 17-  2
Curve Equation t 3315d1 [0,-1,1,-5,-4] 1
3315e (4 curves)	0	3- 5+ 13- 17-	-1 3- 5+  4  0 13- 17-  4
Curve Equation t 3315e1 [1,0,0,-136,335] 4 3315e2 [1,0,0,-981,-11664] 4 3315e3 [1,0,0,-15606,-751689] 2 3315e4 [1,0,0,124,-36195] 2
3315f (2 curves)	1	3- 5- 13+ 17+	-1 3- 5- -2  0 13+ 17+  2
Curve Equation t Generators 3315f1 [1,0,0,-20,-33] 2 [-3:3:1] 3315f2 [1,0,0,25,-150] 2 [7:16:1]

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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