Cremona's table of elliptic curves

31581 = 3² · 11² · 29

Class	r	Atkin-Lehner	Eigenvalues
31581a (2 curves)	0	3+ 11- 29+	1 3+  4 -4 11-  6  2  2
Curve Equation t 31581a1 [1,-1,0,-10005,-654472] 2 31581a2 [1,-1,0,-189690,-31739977] 2
31581b (2 curves)	1	3+ 11- 29-	-1 3+ -4 -4 11-  6 -2  2
Curve Equation t Generators 31581b1 [1,-1,1,-1112,24610] 2 [-8:185:1] 31581b2 [1,-1,1,-21077,1182580] 2 [80:20:1]
31581c (2 curves)	0	3- 11+ 29+	-1 3- -2 -4 11+  4  6  2
Curve Equation t 31581c1 [1,-1,1,-116546,15011912] 2 31581c2 [1,-1,1,-1853501,971726726] 2
31581d (2 curves)	1	3- 11+ 29-	1 3- -2  4 11+ -4 -6 -2
Curve Equation t Generators 31581d1 [1,-1,0,-963,-11016] 2 [-1260:927:64] 31581d2 [1,-1,0,-15318,-725895] 2 [20814:1049883:8]
31581e (1 curve)	1	3- 11- 29+	0 3-  2  3 11-  1  4 -2
Curve Equation t Generators 31581e1 [0,0,1,-150128814,704885399721] 1 [12041114771322149885862:-3453746150612359172078857:5538975820786951704]
31581f (1 curve)	1	3- 11- 29+	0 3-  2  3 11-  1 -4 -2
Curve Equation t Generators 31581f1 [0,0,1,-264,-1499] 1 [-7:2:1]
31581g (1 curve)	1	3- 11- 29+	2 3-  2  1 11-  2 -6  7
Curve Equation t Generators 31581g1 [0,0,1,-4719,125023] 1 [338:257:8]
31581h (1 curve)	1	3- 11- 29+	2 3-  2  1 11- -5  8  0
Curve Equation t Generators 31581h1 [0,0,1,-10384686939,-407319278122859] 1 [-7226678899130260839579180076342608903789484190345203976423751091130076665940041547041399888915998:-2730547326568488447368866890164276431601125998294462867513691361240943904212621905654909331717007:123081844243965980177003891670725031733643473844632356584726747128904943480741673135011548104]
31581i (1 curve)	1	3- 11- 29+	-2 3-  2  1 11-  3 -4  4
Curve Equation t Generators 31581i1 [0,0,1,-11979,-494134] 1 [-68:77:1]
31581j (1 curve)	1	3- 11- 29+	-2 3-  2 -1 11- -7 -2  0
Curve Equation t Generators 31581j1 [0,0,1,-4719,-124754] 1 [-40:2:1]
31581k (1 curve)	0	3- 11- 29-	0 3-  2 -3 11- -1  4  2
Curve Equation t 31581k1 [0,0,1,-31944,1994836] 1
31581l (1 curve)	0	3- 11- 29-	0 3-  2 -3 11- -1 -4  2
Curve Equation t 31581l1 [0,0,1,-1240734,-529590834] 1
31581m (2 curves)	0	3- 11- 29-	1 3-  2  2 11- -2  6 -4
Curve Equation t 31581m1 [1,-1,0,-535266,150664135] 2 31581m2 [1,-1,0,-377361,241206862] 2
31581n (1 curve)	0	3- 11- 29-	2 3- -1 -4 11- -6  4  2
Curve Equation t 31581n1 [0,0,1,-40293,-3117535] 1
31581o (1 curve)	0	3- 11- 29-	2 3-  2  1 11-  7  2  0
Curve Equation t 31581o1 [0,0,1,-570999,166047241] 1
31581p (1 curve)	0	3- 11- 29-	2 3-  2 -1 11- -3  4 -4
Curve Equation t 31581p1 [0,0,1,-99,371] 1
31581q (1 curve)	0	3- 11- 29-	-2 3-  2 -1 11- -2  6 -7
Curve Equation t 31581q1 [0,0,1,-570999,-166405946] 1
31581r (1 curve)	0	3- 11- 29-	-2 3-  2 -1 11-  5 -8  0
Curve Equation t 31581r1 [0,0,1,-85823859,306025002346] 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
Back to Tables and computations