Cremona's table of elliptic curves

33759 = 3² · 11² · 31

Class	r	Atkin-Lehner	Eigenvalues
33759a (2 curves)	1	3+ 11+ 31+	1 3+  0  2 11+  6 -2 -2
Curve Equation t Generators 33759a1 [1,-1,0,1248,65115] 2 [-6336162:35518265:250047] 33759a2 [1,-1,0,-18717,915624] 2 [34020:39906:343]
33759b (2 curves)	1	3+ 11+ 31+	1 3+  0 -2 11+ -6 -2  2
Curve Equation t Generators 33759b1 [1,-1,0,93,1304] 2 [56:396:1] 33759b2 [1,-1,0,-1392,18827] 2 [14:37:1]
33759c (2 curves)	1	3+ 11+ 31+	-1 3+  0  2 11+  6  2 -2
Curve Equation t Generators 33759c1 [1,-1,1,11230,-1769336] 2 [4346112100:62492618272:20796875] 33759c2 [1,-1,1,-168455,-24553394] 2 [1197350:30652147:1331]
33759d (2 curves)	1	3+ 11+ 31+	-1 3+  0 -2 11+ -6  2  2
Curve Equation t Generators 33759d1 [1,-1,1,10,-52] 2 [4:4:1] 33759d2 [1,-1,1,-155,-646] 2 [-8:9:1]
33759e (1 curve)	0	3+ 11- 31+	1 3+  2 -4 11-  2 -5 -6
Curve Equation t 33759e1 [1,-1,0,-90591,12609790] 1
33759f (1 curve)	0	3+ 11- 31+	1 3+ -2  4 11- -2 -5  6
Curve Equation t 33759f1 [1,-1,0,-6738,257021] 1
33759g (1 curve)	0	3+ 11- 31+	-1 3+  2  4 11- -2  5  6
Curve Equation t 33759g1 [1,-1,1,-749,-9270] 1
33759h (1 curve)	0	3+ 11- 31+	-1 3+ -2 -4 11-  2  5 -6
Curve Equation t 33759h1 [1,-1,1,-815321,-339649010] 1
33759i (2 curves)	1	3- 11- 31+	1 3-  2  2 11- -4 -2 -6
Curve Equation t Generators 33759i1 [1,-1,0,-109467936,427579195819] 2 [14326224896250088060:-880002292727309954897:1389779446636736] 33759i2 [1,-1,0,-271679931,-1134295219238] 2 [287073281786023060553452971667364:-16171011263468760117673102180207357:14523629082380288451491920192]

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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