Cremona's table of elliptic curves

8866 = 2 · 11 · 13 · 31

Class	r	Atkin-Lehner	Eigenvalues
8866a (1 curve)	1	2+ 11+ 13+ 31+	2+  1 -3  1 11+ 13+  3  2
Curve Equation t Generators 8866a1 [1,0,1,5,-920] 1 [152:1799:1]
8866b (1 curve)	0	2+ 11+ 13+ 31-	2+  0  0  3 11+ 13+  1  0
Curve Equation t 8866b1 [1,-1,0,-53537,-4754563] 1
8866c (1 curve)	0	2+ 11+ 13+ 31-	2+ -3  3  3 11+ 13+  7  0
Curve Equation t 8866c1 [1,-1,0,16247,393613] 1
8866d (1 curve)	1	2+ 11+ 13- 31-	2+  1  1  3 11+ 13- -3  6
Curve Equation t Generators 8866d1 [1,0,1,-18,-90] 1 [6:2:1]
8866e (2 curves)	1	2+ 11+ 13- 31-	2+  1 -3 -1 11+ 13- -3  2
Curve Equation t Generators 8866e1 [1,0,1,-28670,1893520] 3 [100:120:1] 8866e2 [1,0,1,110675,9112552] 1 [314:8494:1]
8866f (1 curve)	2	2+ 11- 13+ 31+	2+ -2 -2 -3 11- 13+ -5  4
Curve Equation t Generators 8866f1 [1,0,1,-367,2676] 1 [-14:78:1]&[-8:75:1]
8866g (1 curve)	0	2+ 11- 13+ 31+	2+  3  3 -3 11- 13+ -5  4
Curve Equation t 8866g1 [1,-1,0,-20911198,-36800704492] 1
8866h (1 curve)	2	2- 11+ 13+ 31+	2-  0 -4 -3 11+ 13+ -7  0
Curve Equation t Generators 8866h1 [1,-1,1,23,-55] 1 [5:10:1]&[11:32:1]
8866i (1 curve)	2	2- 11+ 13+ 31+	2- -3 -1 -3 11+ 13+ -7 -6
Curve Equation t Generators 8866i1 [1,-1,1,-35898,2627193] 1 [483:-10131:1]&[-111:2343:1]
8866j (1 curve)	1	2- 11- 13+ 31+	2-  0  3 -3 11- 13+ -2 -2
Curve Equation t Generators 8866j1 [1,-1,1,-2116,38943] 1 [27:17:1]
8866k (1 curve)	1	2- 11- 13- 31-	2-  1 -1 -5 11- 13-  3  6
Curve Equation t Generators 8866k1 [1,0,0,-426021,107107457] 1 [2422:114047:1]

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

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