Cremona's table of elliptic curves

8547 = 3 · 7 · 11 · 37

Class	r	Atkin-Lehner	Eigenvalues
8547a (6 curves)	1	3+ 7+ 11- 37-	-1 3+ -2 7+ 11- -2  2  4
Curve Equation t Generators 8547a1 [1,1,1,11291,-409918] 4 [308:5538:1] 8547a2 [1,1,1,-61914,-3865194] 8 [3272:185010:1] 8547a3 [1,1,1,-890159,-323567764] 4 [-423729460:21146401:778688] 8547a4 [1,1,1,-404949,96163812] 4 [426:878:1] 8547a5 [1,1,1,-14241794,-20692822120] 2 [1130288059530:20827199000789:250047000] 8547a6 [1,1,1,-790444,-398712988] 2 [1885842695916:-105080362816519:567663552]
8547b (2 curves)	0	3+ 7- 11+ 37+	1 3+  0 7- 11+  4  0 -2
Curve Equation t 8547b1 [1,1,0,-653275,2416718944] 2 8547b2 [1,1,0,-31298340,66912322743] 2
8547c (2 curves)	2	3+ 7- 11+ 37+	-1 3+ -2 7- 11+ -2 -8  0
Curve Equation t Generators 8547c1 [1,1,1,31,-34] 2 [2:5:1]&[10:32:1] 8547c2 [1,1,1,-154,-478] 2 [-10:18:1]&[-6:19:1]
8547d (1 curve)	0	3+ 7- 11- 37-	2 3+ -2 7- 11-  2  3 -2
Curve Equation t 8547d1 [0,-1,1,226,131] 1
8547e (2 curves)	0	3- 7+ 11- 37-	1 3-  4 7+ 11-  4  2  2
Curve Equation t 8547e1 [1,0,1,-4089,100279] 2 8547e2 [1,0,1,-4274,90659] 2
8547f (2 curves)	1	3- 7- 11+ 37+	-1 3-  0 7- 11+  0  0  6
Curve Equation t Generators 8547f1 [1,0,0,3717,63504] 2 [21:378:1] 8547f2 [1,0,0,-18668,560451] 2 [457:-9584:1]
8547g (1 curve)	0	3- 7- 11+ 37-	-2 3-  2 7- 11+  6  7  2
Curve Equation t 8547g1 [0,1,1,-31949072,-69518761732] 1

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

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