Cremona's table of elliptic curves

1089 = 3² · 11²

Class	r	Atkin-Lehner	Eigenvalues
1089a (2 curves)	0	3+ 11-	0 3+  0  5 11-  2  0 -7
Curve Equation t 1089a1 [0,0,1,0,30] 3 1089a2 [0,0,1,0,-817] 1
1089b (2 curves)	0	3+ 11-	0 3+  0 -5 11- -2  0  7
Curve Equation t 1089b1 [0,0,1,0,-40263] 1 1089b2 [0,0,1,0,1087094] 1
1089c (2 curves)	0	3+ 11-	1 3+ -4  2 11-  2 -2  6
Curve Equation t 1089c1 [1,-1,0,-204,259] 2 1089c2 [1,-1,0,-2019,-34226] 2
1089d (2 curves)	0	3+ 11-	-1 3+  4  2 11-  2  2  6
Curve Equation t 1089d1 [1,-1,1,-1838,-5156] 2 1089d2 [1,-1,1,-18173,942274] 2
1089e (2 curves)	0	3- 11+	0 3-  3  0 11+  0  0  0
Curve Equation t 1089e1 [0,0,1,-66,-212] 1 1089e2 [0,0,1,-7986,281839] 1
1089f (2 curves)	1	3- 11-	1 3- -1  2 11- -1 -5 -6
Curve Equation t Generators 1089f1 [1,-1,0,-270,1777] 1 [8:5:1] 1089f2 [1,-1,0,-2745,-215726] 1 [470:9872:1]
1089g (4 curves)	1	3- 11-	1 3-  2 -4 11-  2 -2  0
Curve Equation t Generators 1089g1 [1,-1,0,-7101,-226616] 2 [1400:51572:1] 1089g2 [1,-1,0,-12546,173047] 4 [11206:412357:8] 1089g3 [1,-1,0,-159561,24548134] 2 [-382:5636:1] 1089g4 [1,-1,0,47349,1311052] 2 [838:21361:8]
1089h (2 curves)	1	3- 11-	-1 3- -1 -2 11-  1  5  6
Curve Equation t Generators 1089h1 [1,-1,1,-23,168] 1 [14:42:1] 1089h2 [1,-1,1,-32693,-2267130] 1 [212:438:1]
1089i (1 curve)	1	3- 11-	2 3- -4  1 11- -2 -4 -3
Curve Equation t Generators 1089i1 [0,0,1,3993,18301] 1 [242:3263:8]
1089j (3 curves)	1	3- 11-	-2 3- -1  2 11- -4 -2  0
Curve Equation t Generators 1089j1 [0,0,1,-363,6322] 1 [11:60:1] 1089j2 [0,0,1,-11253,-832208] 1 [1474:14637:8] 1089j3 [0,0,1,-8516343,-9565943918] 1 [71170:6292843:8]
1089k (1 curve)	1	3- 11-	-2 3- -4 -1 11-  2  4  3
Curve Equation t Generators 1089k1 [0,0,1,33,-14] 1 [4:13:1]

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