Cremona's table of elliptic curves

51688 = 2³ · 7 · 13 · 71

Class	r	Atkin-Lehner	Eigenvalues
51688a (1 curve)	0	2+ 7+ 13- 71+	2+  3  0 7+ -1 13- -6 -4
Curve Equation t 51688a1 [0,0,0,1325,-4786] 1
51688b (1 curve)	0	2+ 7- 13+ 71+	2+ -1  0 7- -4 13+  4  2
Curve Equation t 51688b1 [0,-1,0,101527,-57289427] 1
51688c (1 curve)	1	2+ 7- 13- 71+	2+ -1  2 7- -4 13-  6  2
Curve Equation t Generators 51688c1 [0,-1,0,-57,253] 1 [1:14:1]
51688d (1 curve)	2	2+ 7- 13- 71-	2+ -1 -4 7- -4 13- -2  0
Curve Equation t Generators 51688d1 [0,-1,0,-6305,221221] 1 [39:182:1]&[-87:322:1]
51688e (2 curves)	1	2- 7+ 13- 71+	2-  0 -2 7+ -6 13- -2 -6
Curve Equation t Generators 51688e1 [0,0,0,-131,366] 2 [-10:26:1] 51688e2 [0,0,0,389,2550] 2 [-2:42:1]
51688f (2 curves)	0	2- 7- 13- 71+	2-  0  0 7-  0 13-  0  4
Curve Equation t 51688f1 [0,0,0,205,-3586] 2 51688f2 [0,0,0,-2635,-47322] 2
51688g (2 curves)	1	2- 7- 13- 71-	2-  2  0 7-  4 13-  2 -4
Curve Equation t Generators 51688g1 [0,-1,0,-148,708] 2 [24:102:1] 51688g2 [0,-1,0,112,2684] 2 [570:3196:27]
51688h (1 curve)	1	2- 7- 13- 71-	2- -3 -2 7-  0 13- -4 -4
Curve Equation t Generators 51688h1 [0,0,0,-22636,1312036] 1 [40:686:1]

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

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