Cremona's table of elliptic curves

17914 = 2 · 13² · 53

Class	r	Atkin-Lehner	Eigenvalues
17914a (2 curves)	1	2+ 13+ 53+	2+  1  0  4  0 13+ -3  1
Curve Equation t Generators 17914a1 [1,0,1,-47831,-5117318] 1 [209079423985:4276975618084:384240583] 17914a2 [1,0,1,-4157911,-3263675270] 1 [146345097189855541350683514753:15745990861572107007006971318260:12143059478357927150426823]
17914b (2 curves)	1	2+ 13+ 53+	2+  1  3  1  0 13+ -3  4
Curve Equation t Generators 17914b1 [1,0,1,-8792,5949478] 1 [6124:476137:1] 17914b2 [1,0,1,79088,-160249178] 1 [639645365100:49763403486263:104487111]
17914c (1 curve)	1	2+ 13+ 53+	2+  1 -4 -2  4 13+  1 -5
Curve Equation t Generators 17914c1 [1,0,1,-303,2082] 1 [-9:68:1]
17914d (2 curves)	1	2+ 13+ 53+	2+ -2  2 -2 -2 13+ -2  4
Curve Equation t Generators 17914d1 [1,0,1,-65592960,-202155110194] 2 [31151263623427641937017460094293:-422668880808921838893934470947801:3308216944442889916774928989] 17914d2 [1,0,1,-10215040,-532650536754] 2 [255099556805604368805:35308543014573539873943:12152564013136429]
17914e (2 curves)	1	2+ 13+ 53+	2+ -2 -3 -2  3 13+  3  4
Curve Equation t Generators 17914e1 [1,0,1,165,2030] 1 [14:77:1] 17914e2 [1,0,1,-1525,-62190] 1 [92:714:1]
17914f (1 curve)	0	2+ 13+ 53-	2+  0  1  2 -1 13+  3  6
Curve Equation t 17914f1 [1,-1,0,-1310204,578066256] 1
17914g (1 curve)	0	2- 13+ 53+	2-  1  4  2 -4 13+  1  5
Curve Equation t 17914g1 [1,0,0,-51126,4625828] 1
17914h (1 curve)	0	2- 13+ 53+	2- -1  4  0  4 13+  5  7
Curve Equation t 17914h1 [1,1,1,-1271,17181] 1
17914i (1 curve)	1	2- 13+ 53-	2-  1  1 -5 -4 13+  5  4
Curve Equation t Generators 17914i1 [1,0,0,-2333640,1376926784] 1 [40:35808:1]
17914j (1 curve)	1	2- 13+ 53-	2-  2 -1  2 -5 13+  3  4
Curve Equation t Generators 17914j1 [1,1,1,-4651,-124103] 1 [733:19406:1]

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

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