Cremona's table of elliptic curves

8349 = 3 · 11² · 23

Class	r	Atkin-Lehner	Eigenvalues
8349a (2 curves)	1	3+ 11- 23-	1 3+  0  2 11- -2  0 -2
Curve Equation t Generators 8349a1 [1,1,0,-2785,821704] 2 [-4442060:6832582:42875] 8349a2 [1,1,0,-149800,22080073] 2 [-55680:130327:125]
8349b (1 curve)	1	3- 11- 23+	1 3-  1  0 11- -1  1  4
Curve Equation t Generators 8349b1 [1,0,1,-6918178,-7004541535] 1 [26785:4348304:1]
8349c (6 curves)	1	3- 11- 23+	1 3- -2  0 11-  2 -2  4
Curve Equation t Generators 8349c1 [1,0,1,3748,259301] 2 [63:832:1] 8349c2 [1,0,1,-45257,3336815] 4 [33549:6128089:1] 8349c3 [1,0,1,-170492,-23513569] 2 [268398:49023605:8] 8349c4 [1,0,1,-704102,227344115] 4 [47292738:-21506957:97336] 8349c5 [1,0,1,-11265587,14552942369] 2 [-3631:88935:1] 8349c6 [1,0,1,-684137,240848441] 2 [-8026601697270:100799732481823:8869743000]
8349d (2 curves)	1	3- 11- 23+	-1 3-  0  2 11-  6 -4 -2
Curve Equation t Generators 8349d1 [1,0,0,-63,936] 2 [15:51:1] 8349d2 [1,0,0,-1878,31065] 2 [-1:182:1]
8349e (1 curve)	1	3- 11- 23+	-1 3-  1  0 11-  1 -1 -4
Curve Equation t Generators 8349e1 [1,0,0,-57175,5257418] 1 [143:32:1]

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

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