Cremona's table of elliptic curves

330 = 2 · 3 · 5 · 11

Class	r	Atkin-Lehner	Eigenvalues
330a (4 curves)	0	2+ 3+ 5+ 11-	2+ 3+ 5+  0 11-  2 -2  8
Curve Equation t 330a1 [1,1,0,-1393,-20603] 2 330a2 [1,1,0,-1413,-20007] 4 330a3 [1,1,0,-4163,77343] 2 330a4 [1,1,0,1017,-78813] 2
330e (4 curves)	1	2+ 3+ 5- 11-	2+ 3+ 5- -4 11- -2 -2 -8
Curve Equation t Generators 330e1 [1,1,0,-22,-44] 2 [-3:4:1] 330e2 [1,1,0,-102,324] 4 [-7:31:1] 330e3 [1,1,0,-1602,24024] 4 [-2:166:1] 330e4 [1,1,0,118,1776] 2 [22:-136:1]
330d (4 curves)	0	2- 3+ 5+ 11+	2- 3+ 5+  4 11+  2  2  4
Curve Equation t 330d1 [1,1,1,-40266,2921559] 4 330d2 [1,1,1,-122186,-12872617] 4 330d3 [1,1,1,-1832906,-955821481] 2 330d4 [1,1,1,277814,-79112617] 2
330c (6 curves)	0	2- 3+ 5- 11-	2- 3+ 5-  0 11-  6  2 -4
Curve Equation t 330c1 [1,1,1,255,255] 4 330c2 [1,1,1,-1025,767] 8 330c3 [1,1,1,-10705,-429025] 4 330c4 [1,1,1,-11825,488927] 4 330c5 [1,1,1,-171085,-27308713] 2 330c6 [1,1,1,-5205,-862425] 2
330b (6 curves)	0	2- 3- 5- 11+	2- 3- 5-  0 11+ -2  2 -4
Curve Equation t 330b1 [1,0,0,5,17] 4 330b2 [1,0,0,-75,225] 8 330b3 [1,0,0,-255,-1323] 4 330b4 [1,0,0,-1175,15405] 4 330b5 [1,0,0,-3885,-93525] 2 330b6 [1,0,0,495,-7473] 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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