Cremona's table of elliptic curves

840 = 2³ · 3 · 5 · 7

Field	Data	Notes
Atkin-Lehner	2- 3+ 5- 7+	Signs for the Atkin-Lehner involutions
Conductor	840	Conductor
Count	6	Number of curves in isogeny class
Curves	840f1 840f2 840f3 840f4 840f5 840f6	Curves in isogeny class
deg	128	Modular degree for the optimal curve
Eigenvalues	2- 3+ 5- 7+ -4 -2  2 -4	Hecke eigenvalues for primes less than 20
L	2.0729414081239	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	1680j 6720q 2520e 4200o	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 840f

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
-	+	-	+	-4	-2	2	-4	0	-10	0	6	-6	-4	-8	6	-4	-10	4	-16	-14	8	-4	10	10

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Quadratic twists for isogeny class 840f

-4	8	-3	5	-7	-11
1680j	6720q	2520e	4200o	5880bf	101640p

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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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