Cremona's table of elliptic curves

16555 = 5 · 7 · 11 · 43

Class	r	Atkin-Lehner	Eigenvalues
16555a (2 curves)	0	5+ 7+ 11- 43+	1 -2 5+ 7+ 11-  0  8  8
Curve Equation t 16555a1 [1,0,1,-6689,219711] 2 16555a2 [1,0,1,-108384,13724807] 2
16555b (1 curve)	0	5+ 7- 11+ 43+	2  1 5+ 7- 11+  5 -3  7
Curve Equation t 16555b1 [0,1,1,-5136,139945] 1
16555c (1 curve)	1	5+ 7- 11+ 43-	-2  1 5+ 7- 11+  3 -5  5
Curve Equation t Generators 16555c1 [0,1,1,-3246,-36434] 1 [-41:171:1]
16555d (2 curves)	2	5- 7+ 11+ 43+	-1 -2 5- 7+ 11+ -6 -2 -4
Curve Equation t Generators 16555d1 [1,0,0,-35,-80] 2 [-3:2:1]&[21:82:1] 16555d2 [1,0,0,-90,217] 2 [-8:25:1]&[-3:23:1]
16555e (2 curves)	1	5- 7+ 11- 43+	-1  0 5- 7+ 11-  0  0 -4
Curve Equation t Generators 16555e1 [1,-1,1,-522,-801064] 2 [213442176:6767427701:205379] 16555e2 [1,-1,1,-132577,-18285146] 2 [4162:265336:1]
16555f (3 curves)	0	5- 7- 11+ 43-	0 -2 5- 7- 11+ -4  0  2
Curve Equation t 16555f1 [0,1,1,245,3659] 3 16555f2 [0,1,1,-2255,-111216] 3 16555f3 [0,1,1,-258105,-50557311] 1
16555g (4 curves)	1	5- 7- 11- 43-	1  0 5- 7- 11-  2 -2 -4
Curve Equation t Generators 16555g1 [1,-1,0,-824,9243] 2 [62:409:1] 16555g2 [1,-1,0,-1429,-5640] 4 [-24:132:1] 16555g3 [1,-1,0,-17984,-922787] 2 [42882:371059:216] 16555g4 [1,-1,0,5446,-48265] 2 [686:17717:1]

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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