Cremona's table of elliptic curves

17794 = 2 · 7 · 31 · 41

Class	r	Atkin-Lehner	Eigenvalues
17794a (1 curve)	1	2+ 7+ 31+ 41+	2+ -1  1 7+  0  2  2 -4
Curve Equation t Generators 17794a1 [1,1,0,545543,22647077] 1 [1307131:81569454:343]
17794b (1 curve)	0	2+ 7+ 31+ 41-	2+  2 -1 7+  1 -1 -4  7
Curve Equation t 17794b1 [1,1,0,12,-16] 1
17794c (2 curves)	0	2+ 7- 31+ 41+	2+  2 -2 7- -6 -4  6 -6
Curve Equation t 17794c1 [1,1,0,-617731,-185039175] 2 17794c2 [1,1,0,-9852941,-11908214749] 2
17794d (1 curve)	0	2+ 7- 31+ 41+	2+ -2  3 7- -3  3  0  1
Curve Equation t 17794d1 [1,0,1,-17287,-920502] 1
17794e (1 curve)	1	2+ 7- 31- 41+	2+ -3 -1 7- -4 -2 -2  0
Curve Equation t Generators 17794e1 [1,-1,0,-40,-2006] 1 [29:129:1]
17794f (4 curves)	2	2- 7+ 31- 41-	2-  0 -2 7+ -4 -2 -6 -4
Curve Equation t Generators 17794f1 [1,-1,1,-271,-1193] 2 [-11:24:1]&[-5:6:1] 17794f2 [1,-1,1,-1551,22871] 4 [-43:114:1]&[-17:218:1] 17794f3 [1,-1,1,-24511,1483127] 4 [-103:1756:1]&[147:946:1] 17794f4 [1,-1,1,929,87351] 2 [-35:122:1]&[-27:218:1]
17794g (2 curves)	0	2- 7+ 31- 41-	2-  2  2 7+  0  2 -2  0
Curve Equation t 17794g1 [1,1,1,238,-9329] 2 17794g2 [1,1,1,-5502,-151681] 2
17794h (2 curves)	1	2- 7- 31+ 41+	2- -2  0 7-  0  0  6 -8
Curve Equation t Generators 17794h1 [1,0,0,-188,976] 2 [10:6:1] 17794h2 [1,0,0,-228,520] 2 [-6:44:1]
17794i (2 curves)	0	2- 7- 31+ 41-	2-  2  2 7-  0  2  6  0
Curve Equation t 17794i1 [1,1,1,-382,2731] 2 17794i2 [1,1,1,-6122,181819] 2
17794j (4 curves)	0	2- 7- 31- 41+	2- -2  0 7-  0 -4  6  8
Curve Equation t 17794j1 [1,0,0,-189048,-31315904] 6 17794j2 [1,0,0,-352888,31041600] 6 17794j3 [1,0,0,-15267448,-22962641856] 2 17794j4 [1,0,0,-15267608,-22962136544] 2
17794k (2 curves)	0	2- 7- 31- 41+	2- -2  4 7- -4 -4 -2  0
Curve Equation t 17794k1 [1,0,0,-186,-992] 2 17794k2 [1,0,0,-196,-882] 2

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