Cremona's table of elliptic curves

15680 = 2⁶ · 5 · 7²

Field	Data	Notes
Atkin-Lehner	2+ 5- 7-	Signs for the Atkin-Lehner involutions
Conductor	15680	Conductor
Count	4	Number of curves in isogeny class
Curves	15680bm1 15680bm2 15680bm3 15680bm4	Curves in isogeny class
deg	4608	Modular degree for the optimal curve
Eigenvalues	2+  0 5- 7- -4 -2 -2  4	Hecke eigenvalues for primes less than 20
L	4.5944417920685	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	15680dk 1960b 78400w 320b	Quadratic twists by: -4 8 5 -7

Hecke Eigenvalues for isogeny class 15680bm

a2	a3	a5	a7	a11	a13	a17	a19	a23	a29	a31	a37	a41	a43	a47	a53	a59	a61	a67	a71	a73	a79	a83	a89	a97
+	0	-	-	-4	-2	-2	4	4	2	8	-6	6	8	-4	-6	-4	-2	-8	0	6	0	-16	6	14

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Quadratic twists for isogeny class 15680bm

-4	8	5	-7
15680dk	1960b	78400w	320b

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

Part of Computational Number Theory
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