Cremona's table of elliptic curves

109989 = 3² · 11² · 101

Class	r	Atkin-Lehner	Eigenvalues
109989a (2 curves)	0	3+ 11- 101+	-1 3+  0 -2 11-  2 -6  4
Curve Equation t 109989a1 [1,-1,1,-10851545,13756848328] 2 109989a2 [1,-1,1,-9201710,18082055764] 2
109989b (1 curve)	0	3+ 11- 101+	2 3+  0  1 11- -4 -3 -8
Curve Equation t 109989b1 [0,0,1,-16335,-745693] 1
109989c (2 curves)	1	3+ 11- 101-	1 3+  0 -2 11-  2  6  4
Curve Equation t Generators 109989c1 [1,-1,0,-1205727,-509110992] 2 [1969213540126637484:51463690247230229706:1203090330281293] 109989c2 [1,-1,0,-1022412,-669364965] 2 [36458507937800327146008914996971102:969563609350994195037929087420401793:22497207964198403565892779587368]
109989d (1 curve)	1	3+ 11- 101-	-2 3+  0  1 11- -4  3 -8
Curve Equation t Generators 109989d1 [0,0,1,-1815,27618] 1 [44:-182:1]
109989e (1 curve)	1	3- 11- 101+	0 3-  1  2 11- -1  3  5
Curve Equation t Generators 109989e1 [0,0,1,-1452,-12312] 1 [66:423:1]
109989f (1 curve)	1	3- 11- 101+	0 3-  2 -3 11- -6  6  3
Curve Equation t Generators 109989f1 [0,0,1,-264,22558] 1 [256:4090:1]
109989g (1 curve)	1	3- 11- 101+	0 3- -4 -3 11-  0  3  0
Curve Equation t Generators 109989g1 [0,0,1,-23232,-1359284] 1 [-88:60:1]
109989h (1 curve)	1	3- 11- 101+	-1 3- -3 -4 11-  1  3  2
Curve Equation t Generators 109989h1 [1,-1,1,-20714,51883274] 1 [-272:6246:1]
109989i (1 curve)	0	3- 11- 101-	0 3-  1  4 11-  1 -3  3
Curve Equation t 109989i1 [0,0,1,-241032,45514543] 1
109989j (1 curve)	0	3- 11- 101-	0 3-  1 -4 11-  1 -3  3
Curve Equation t 109989j1 [0,0,1,-3024622722,-64019260164357] 1
109989k (1 curve)	0	3- 11- 101-	0 3-  2  3 11-  6 -6 -3
Curve Equation t 109989k1 [0,0,1,-31944,-30025031] 1
109989l (1 curve)	0	3- 11- 101-	0 3- -2  5 11- -2  3  0
Curve Equation t 109989l1 [0,0,1,-116886,-9523638] 1
109989m (1 curve)	0	3- 11- 101-	0 3-  3  0 11-  3 -7  5
Curve Equation t 109989m1 [0,0,1,-214896,-5103387] 1
109989n (1 curve)	0	3- 11- 101-	0 3-  3  0 11- -4  0 -2
Curve Equation t 109989n1 [0,0,1,-9478656,11258711714] 1
109989o (1 curve)	0	3- 11- 101-	0 3- -3  0 11-  5 -3  7
Curve Equation t 109989o1 [0,0,1,-28314,-1823803] 1
109989p (2 curves)	0	3- 11- 101-	1 3- -2 -4 11-  2 -2  2
Curve Equation t 109989p1 [1,-1,0,-7301223,-7591017384] 2 109989p2 [1,-1,0,-6751278,-8783188155] 2
109989q (1 curve)	0	3- 11- 101-	1 3- -3  4 11- -1 -3 -2
Curve Equation t 109989q1 [1,-1,0,-171,-38934] 1
109989r (1 curve)	2	3- 11- 101-	-2 3-  1  2 11- -1 -5 -7
Curve Equation t Generators 109989r1 [0,0,1,-6897,155394] 1 [-76:490:1]&[-22:544:1]
109989s (2 curves)	0	3- 11- 101-	-2 3- -1  2 11-  1  3 -5
Curve Equation t 109989s1 [0,0,1,-119017173,-158956957998] 1 109989s2 [0,0,1,-59206207863,-5544967205179548] 1
109989t (1 curve)	0	3- 11- 101-	-2 3-  3  2 11-  5  3 -1
Curve Equation t 109989t1 [0,0,1,-56991,5205208] 1

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

Part of Computational Number Theory
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