Cremona's table of elliptic curves

9867 = 3 · 11 · 13 · 23

Class	r	Atkin-Lehner	Eigenvalues
9867a (1 curve)	1	3+ 11+ 13+ 23+	1 3+ -3  1 11+ 13+ -2  3
Curve Equation t Generators 9867a1 [1,1,0,6,9] 1 [0:3:1]
9867b (1 curve)	0	3+ 11+ 13+ 23-	0 3+  2 -2 11+ 13+  4 -6
Curve Equation t 9867b1 [0,-1,1,-27,-61] 1
9867c (2 curves)	2	3+ 11+ 13+ 23-	-1 3+ -2 -4 11+ 13+ -2  0
Curve Equation t Generators 9867c1 [1,1,1,-204,1092] 2 [6:8:1]&[8:3:1] 9867c2 [1,1,1,-3309,71886] 2 [-3:287:1]&[8:210:1]
9867d (2 curves)	0	3+ 11+ 13+ 23-	-1 3+  4  2 11+ 13+  4  6
Curve Equation t 9867d1 [1,1,1,-256991,-50289964] 2 9867d2 [1,1,1,-4112726,-3211992664] 2
9867e (2 curves)	0	3+ 11+ 13- 23+	-1 3+  2 -2 11+ 13-  2  6
Curve Equation t 9867e1 [1,1,1,-8292,-294084] 2 9867e2 [1,1,1,-8307,-292986] 2
9867f (1 curve)	1	3+ 11+ 13- 23-	-1 3+  1 -3 11+ 13- -6 -1
Curve Equation t Generators 9867f1 [1,1,1,-1670,26588] 1 [36:103:1]
9867g (2 curves)	1	3+ 11- 13- 23+	-1 3+  2 -2 11- 13-  2  6
Curve Equation t Generators 9867g1 [1,1,1,-539732,-144971764] 2 [626868:3521159:729] 9867g2 [1,1,1,-8511347,-9561043402] 2 [3436:40406:1]
9867h (1 curve)	1	3+ 11- 13- 23+	-1 3+ -3  3 11- 13-  2  1
Curve Equation t Generators 9867h1 [1,1,1,-40592,3158570] 1 [126:-317:1]
9867i (2 curves)	1	3- 11+ 13- 23+	1 3-  0  4 11+ 13-  0 -4
Curve Equation t Generators 9867i1 [1,0,1,-4401,143839] 2 [-43:525:1] 9867i2 [1,0,1,-75816,8028055] 2 [-175:4080:1]
9867j (2 curves)	0	3- 11+ 13- 23-	1 3-  2 -2 11+ 13-  6 -2
Curve Equation t 9867j1 [1,0,1,-70,-229] 2 9867j2 [1,0,1,-85,-127] 2

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

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