Cremona's table of elliptic curves

17688 = 2³ · 3 · 11 · 67

Class	r	Atkin-Lehner	Eigenvalues
17688a (1 curve)	0	2+ 3+ 11+ 67-	2+ 3+  3  1 11+ -3 -6 -8
Curve Equation t 17688a1 [0,-1,0,4071,61821] 1
17688b (2 curves)	1	2+ 3+ 11- 67-	2+ 3+  2  2 11-  2 -6  2
Curve Equation t Generators 17688b1 [0,-1,0,-1152,-13188] 2 [-22:32:1] 17688b2 [0,-1,0,1528,-67860] 2 [45:300:1]
17688c (2 curves)	1	2+ 3+ 11- 67-	2+ 3+ -2  2 11- -4  8 -4
Curve Equation t Generators 17688c1 [0,-1,0,-599,5964] 2 [-1:81:1] 17688c2 [0,-1,0,-9644,367764] 2 [66:120:1]
17688d (2 curves)	0	2+ 3- 11- 67-	2+ 3-  0  4 11-  4  2  6
Curve Equation t 17688d1 [0,1,0,-188,384] 2 17688d2 [0,1,0,-1528,-23200] 2
17688e (2 curves)	1	2- 3+ 11+ 67-	2- 3+  2  2 11+  2 -2  2
Curve Equation t Generators 17688e1 [0,-1,0,-71992,-7410788] 2 [-6597488511558:-95020991632:42838260499] 17688e2 [0,-1,0,-69312,-7990740] 2 [4170472452492048451805:-1002381983068190867883210:72189280224234341]
17688f (1 curve)	1	2- 3+ 11- 67+	2- 3+  1 -1 11- -2  4  0
Curve Equation t Generators 17688f1 [0,-1,0,-720,-7236] 1 [86:748:1]
17688g (2 curves)	1	2- 3+ 11- 67+	2- 3+  2  2 11-  0 -4 -4
Curve Equation t Generators 17688g1 [0,-1,0,-52,100] 2 [0:10:1] 17688g2 [0,-1,0,168,540] 2 [22:120:1]
17688h (1 curve)	1	2- 3- 11+ 67+	2- 3-  0  2 11+  0 -3 -1
Curve Equation t Generators 17688h1 [0,1,0,127,339] 1 [13:66:1]
17688i (1 curve)	1	2- 3- 11+ 67+	2- 3- -1 -3 11+  1  2  2
Curve Equation t Generators 17688i1 [0,1,0,-1,-109] 1 [5:6:1]
17688j (4 curves)	1	2- 3- 11+ 67+	2- 3-  2  0 11+ -2  2 -4
Curve Equation t Generators 17688j1 [0,1,0,-179092,29112128] 4 [-478:2394:1] 17688j2 [0,1,0,-179112,29105280] 4 [315:2010:1] 17688j3 [0,1,0,-208592,18846240] 2 [403:630:1] 17688j4 [0,1,0,-149952,38926368] 2 [2202:34485:8]
17688k (2 curves)	1	2- 3- 11+ 67+	2- 3-  2 -2 11+ -6  2  2
Curve Equation t Generators 17688k1 [0,1,0,-712,-5248] 2 [-16:48:1] 17688k2 [0,1,0,1968,-33120] 2 [51:450:1]
17688l (1 curve)	0	2- 3- 11- 67+	2- 3-  0  2 11-  0 -7  3
Curve Equation t 17688l1 [0,1,0,-35376168673,2561016094898579] 1

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