Cremona's table of elliptic curves

17544 = 2³ · 3 · 17 · 43

Class	r	Atkin-Lehner	Eigenvalues
17544a (2 curves)	1	2+ 3+ 17+ 43+	2+ 3+  0  4 -2  2 17+ -4
Curve Equation t Generators 17544a1 [0,-1,0,-108,180] 2 [-6:24:1] 17544a2 [0,-1,0,-968,-11172] 2 [49:238:1]
17544b (1 curve)	1	2+ 3+ 17- 43-	2+ 3+  0 -4  2 -1 17- -1
Curve Equation t Generators 17544b1 [0,-1,0,-1768,69340] 1 [114:1156:1]
17544c (4 curves)	1	2+ 3- 17- 43+	2+ 3-  2  0 -4 -2 17- -4
Curve Equation t Generators 17544c1 [0,1,0,-732,-7872] 2 [-46051645200:35648704:2893640625] 17544c2 [0,1,0,-752,-7440] 4 [38856:314925:512] 17544c3 [0,1,0,-2792,48048] 2 [77798829225:595021616344:926859375] 17544c4 [0,1,0,968,-34960] 2 [295:5100:1]
17544d (1 curve)	0	2- 3+ 17+ 43+	2- 3+  0 -4  6  3 17+  5
Curve Equation t 17544d1 [0,-1,0,-48,-132] 1
17544e (2 curves)	1	2- 3+ 17+ 43-	2- 3+  0  0 -4  6 17+ -8
Curve Equation t Generators 17544e1 [0,-1,0,-12164568,16334317404] 2 [135620:527137:64] 17544e2 [0,-1,0,-12164528,16334430156] 2 [617:95202:1]
17544f (2 curves)	0	2- 3- 17+ 43-	2- 3- -2 -2  4  2 17+ -4
Curve Equation t 17544f1 [0,1,0,-12424,528896] 2 17544f2 [0,1,0,-12384,532512] 2
17544g (2 curves)	0	2- 3- 17+ 43-	2- 3-  4  4 -2  2 17+ -4
Curve Equation t 17544g1 [0,1,0,-37236,-2778048] 2 17544g2 [0,1,0,-38096,-2643888] 2
17544h (2 curves)	1	2- 3- 17- 43-	2- 3- -2  2  2  2 17- -4
Curve Equation t Generators 17544h1 [0,1,0,-344,0] 2 [-8:48:1] 17544h2 [0,1,0,1376,1376] 2 [35:306:1]

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

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