Cremona's table of elliptic curves

17696 = 2⁵ · 7 · 79

Class	r	Atkin-Lehner	Eigenvalues
17696a (2 curves)	0	2+ 7+ 79-	2+ -2 -4 7+  4 -4  4  4
Curve Equation t 17696a1 [0,1,0,-50,-176] 2 17696a2 [0,1,0,-840,-9656] 2
17696b (1 curve)	0	2+ 7- 79+	2+  1 -2 7-  1  1  3 -4
Curve Equation t 17696b1 [0,1,0,16,-4] 1
17696c (2 curves)	0	2+ 7- 79+	2+  2  0 7- -4  0 -8  8
Curve Equation t 17696c1 [0,-1,0,62,-552] 2 17696c2 [0,-1,0,-728,-6556] 2
17696d (1 curve)	1	2- 7+ 79-	2- -1 -2 7+ -1  1  3  4
Curve Equation t Generators 17696d1 [0,-1,0,16,4] 1 [0:2:1]
17696e (2 curves)	1	2- 7+ 79-	2- -2  0 7+  4  0 -8 -8
Curve Equation t Generators 17696e1 [0,1,0,62,552] 2 [-4:16:1] 17696e2 [0,1,0,-728,6556] 2 [75:616:1]
17696f (2 curves)	1	2- 7- 79+	2-  2 -4 7- -4 -4  4 -4
Curve Equation t Generators 17696f1 [0,-1,0,-50,176] 2 [10:24:1] 17696f2 [0,-1,0,-840,9656] 2 [507:332:27]

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

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