Cremona's table of elliptic curves

126514 = 2 · 17 · 61²

Class	r	Atkin-Lehner	Eigenvalues
126514a (1 curve)	1	2+ 17+ 61+	2+  0  3 -2  0 -2 17+  0
Curve Equation t Generators 126514a1 [1,-1,0,-2558,70292] 1 [412:8090:1]
126514b (2 curves)	1	2+ 17+ 61+	2+  1 -3 -4 -3  2 17+  2
Curve Equation t Generators 126514b1 [1,0,1,-174965,27885430] 3 [910518772:3433885408611:64] 126514b2 [1,0,1,-1309870,-561811208] 1 [53022:1772579:27]
126514c (1 curve)	2	2+ 17- 61+	2+  0  1  1  1 -5 17- -6
Curve Equation t Generators 126514c1 [1,-1,0,-24884,-3263724] 1 [290:3576:1]&[13530:276302:27]
126514d (1 curve)	0	2+ 17- 61+	2+  1  1  2  1 -4 17- -6
Curve Equation t 126514d1 [1,0,1,-855908,-176397470] 1
126514e (4 curves)	0	2+ 17- 61+	2+ -2  0  4 -6  2 17- -4
Curve Equation t 126514e1 [1,0,1,-11241,283052] 2 126514e2 [1,0,1,-160081,24633276] 2 126514e3 [1,0,1,-383341,-91372620] 2 126514e4 [1,0,1,-420551,-72574128] 2
126514f (2 curves)	2	2+ 17- 61+	2+ -3  1 -2 -5 -2 17-  0
Curve Equation t Generators 126514f1 [1,-1,0,-5059,139771] 1 [5:336:1]&[41:-17:1] 126514f2 [1,-1,0,-45319,-3640643] 1 [-133:211:1]&[547:11346:1]
126514g (1 curve)	2	2- 17+ 61+	2-  1  1 -2 -1 -4 17+ -6
Curve Equation t Generators 126514g1 [1,0,0,-230,-796] 1 [-10:28:1]&[-4:10:1]
126514h (2 curves)	0	2- 17+ 61+	2- -2 -2 -2  2  2 17+  0
Curve Equation t 126514h1 [1,0,0,-4898774,-4173690092] 2 126514h2 [1,0,0,-4824354,-4306619096] 2
126514i (2 curves)	0	2- 17+ 61+	2- -3  1  2  5 -2 17+  0
Curve Equation t 126514i1 [1,-1,1,-18825237,31442986347] 1 126514i2 [1,-1,1,-168632697,-828886275687] 1
126514j (1 curve)	1	2- 17- 61+	2-  0  3  2  0 -2 17-  0
Curve Equation t Generators 126514j1 [1,-1,1,-9519016,15812166763] 1 [-81231:3582875:27]
126514k (2 curves)	1	2- 17- 61+	2-  1 -3  4  3  2 17-  2
Curve Equation t Generators 126514k1 [1,0,0,-47,119] 1 [308:49:64] 126514k2 [1,0,0,-352,-2504] 1 [30:104:1]

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