Cremona's table of elliptic curves

6909 = 3 · 7² · 47

Class	r	Atkin-Lehner	Eigenvalues
6909a (1 curve)	0	3+ 7+ 47-	0 3+  2 7+ -2 -1  0 -5
Curve Equation t 6909a1 [0,-1,1,-3887,768704] 1
6909b (2 curves)	0	3+ 7- 47+	-1 3+  2 7- -2 -4 -6  2
Curve Equation t 6909b1 [1,1,1,78203,-3277366] 2 6909b2 [1,1,1,-338542,-27615274] 2
6909c (1 curve)	0	3+ 7- 47+	-2 3+  3 7- -5 -2  6  6
Curve Equation t 6909c1 [0,-1,1,-604,-1968] 1
6909d (4 curves)	1	3+ 7- 47-	-1 3+ -2 7-  4  2 -2  0
Curve Equation t Generators 6909d1 [1,1,1,-99,-1128] 2 [20:63:1] 6909d2 [1,1,1,-2304,-43464] 4 [83:546:1] 6909d3 [1,1,1,-36849,-2737974] 2 [2638:35427:8] 6909d4 [1,1,1,-3039,-14358] 2 [-49:165:1]
6909e (1 curve)	1	3+ 7- 47-	2 3+  1 7-  1  2 -2 -6
Curve Equation t Generators 6909e1 [0,-1,1,-1290,18269] 1 [154:109:8]
6909f (1 curve)	1	3+ 7- 47-	2 3+ -4 7-  1  2  3 -1
Curve Equation t Generators 6909f1 [0,-1,1,-101250,-34507033] 1 [184830:4852313:216]
6909g (1 curve)	1	3- 7- 47+	0 3- -2 7- -2  1  0  5
Curve Equation t Generators 6909g1 [0,1,1,-79,-2264] 1 [74:634:1]
6909h (2 curves)	1	3- 7- 47+	1 3- -4 7-  2  0 -6  4
Curve Equation t Generators 6909h1 [1,0,1,317,977] 2 [1:35:1] 6909h2 [1,0,1,-1398,7837] 2 [-31:162:1]
6909i (2 curves)	1	3- 7- 47+	-1 3-  0 7-  0 -6  6 -2
Curve Equation t Generators 6909i1 [1,0,0,-393,4248] 2 [-3:75:1] 6909i2 [1,0,0,-7008,225189] 2 [36:123:1]
6909j (4 curves)	1	3- 7- 47+	-1 3- -2 7-  0 -2 -2  4
Curve Equation t Generators 6909j1 [1,0,0,-3039,64224] 4 [57:249:1] 6909j2 [1,0,0,-3284,53199] 4 [-29:367:1] 6909j3 [1,0,0,-18719,-943902] 2 [214:2098:1] 6909j4 [1,0,0,8231,345680] 2 [11:656:1]
6909k (1 curve)	1	3- 7- 47+	2 3-  0 7-  3 -6 -3 -5
Curve Equation t Generators 6909k1 [0,1,1,-10208,-400543] 1 [2522:42185:8]
6909l (1 curve)	0	3- 7- 47-	0 3-  1 7- -3  4 -8  6
Curve Equation t 6909l1 [0,1,1,-65,32] 1

Data from Elliptic Curve Data by J. E. Cremona.
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