Cremona's table of elliptic curves

12155 = 5 · 11 · 13 · 17

Class	r	Atkin-Lehner	Eigenvalues
12155a (1 curve)	0	5+ 11+ 13+ 17-	1  1 5+ -3 11+ 13+ 17- -7
Curve Equation t 12155a1 [1,0,1,-2022444,1107197601] 1
12155b (2 curves)	0	5+ 11+ 13+ 17-	1 -2 5+  0 11+ 13+ 17-  2
Curve Equation t 12155b1 [1,0,1,4326,1609151] 2 12155b2 [1,0,1,-182419,29023317] 2
12155c (1 curve)	0	5+ 11+ 13+ 17-	1  3 5+  5 11+ 13+ 17-  7
Curve Equation t 12155c1 [1,-1,0,-11230,-455389] 1
12155d (1 curve)	2	5+ 11+ 13+ 17-	-2  0 5+ -1 11+ 13+ 17- -2
Curve Equation t Generators 12155d1 [0,0,1,-23,728] 1 [11:-43:1]&[8:32:1]
12155e (2 curves)	1	5+ 11- 13- 17+	1  0 5+ -2 11- 13- 17+  6
Curve Equation t Generators 12155e1 [1,-1,0,-535,4800] 2 [16:4:1] 12155e2 [1,-1,0,70,14601] 2 [8:121:1]
12155f (1 curve)	0	5- 11- 13- 17+	1  3 5-  1 11- 13- 17+  3
Curve Equation t 12155f1 [1,-1,0,11,20] 1
12155g (2 curves)	0	5- 11- 13- 17+	-1  2 5-  0 11- 13- 17+  6
Curve Equation t 12155g1 [1,1,1,-45,-430] 2 12155g2 [1,1,1,-1150,-15458] 2

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

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