Cremona's table of elliptic curves

3255 = 3 · 5 · 7 · 31

Class	r	Atkin-Lehner	Eigenvalues
3255a (4 curves)	0	3+ 5+ 7+ 31-	-1 3+ 5+ 7+  4 -6 -2  4
Curve Equation t 3255a1 [1,1,1,-5781,-170622] 2 3255a2 [1,1,1,-9426,65574] 4 3255a3 [1,1,1,-114051,14754924] 2 3255a4 [1,1,1,36879,565668] 2
3255b (2 curves)	1	3+ 5- 7+ 31-	1 3+ 5- 7+  2  0 -4  4
Curve Equation t Generators 3255b1 [1,1,0,-70987,-7472696] 2 [328:1996:1] 3255b2 [1,1,0,-1142862,-470737071] 2 [88374:9199533:8]
3255c (4 curves)	1	3+ 5- 7+ 31-	-1 3+ 5- 7+  0  2 -2 -4
Curve Equation t Generators 3255c1 [1,1,1,-140,-628] 2 [-8:11:1] 3255c2 [1,1,1,-545,4070] 4 [-22:88:1] 3255c3 [1,1,1,-8420,293870] 4 [53:-22:1] 3255c4 [1,1,1,850,23042] 2 [12:181:1]
3255d (6 curves)	1	3+ 5- 7+ 31-	-1 3+ 5- 7+  4 -2 -6  4
Curve Equation t Generators 3255d1 [1,1,1,-18920,993800] 4 [791440:8385989:4096] 3255d2 [1,1,1,-18925,993242] 8 [202:2236:1] 3255d3 [1,1,1,-23730,443550] 4 [-102:1398:1] 3255d4 [1,1,1,-14200,1507322] 4 [24305:297644:125] 3255d5 [1,1,1,-213605,-37759300] 2 [-257:623:1] 3255d6 [1,1,1,89265,3562212] 2 [-8:1691:1]
3255e (2 curves)	0	3- 5- 7- 31+	1 3- 5- 7-  6  0 -4  4
Curve Equation t 3255e1 [1,0,1,4127,-37897] 2 3255e2 [1,0,1,-17748,-317897] 2
3255f (6 curves)	0	3- 5- 7- 31+	-1 3- 5- 7-  4  6  2  4
Curve Equation t 3255f1 [1,0,0,-655,11552] 4 3255f2 [1,0,0,-12660,546975] 8 3255f3 [1,0,0,-14865,342792] 4 3255f4 [1,0,0,-202535,35066250] 4 3255f5 [1,0,0,-115770,-14934225] 2 3255f6 [1,0,0,50760,2560917] 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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