Cremona's table of elliptic curves

7854 = 2 · 3 · 7 · 11 · 17

Field	Data	Notes
Atkin-Lehner	2- 3+ 7- 11- 17+	Signs for the Atkin-Lehner involutions
Conductor	7854	Conductor
Count	4	Number of curves in isogeny class
Curves	7854m1 7854m2 7854m3 7854m4	Curves in isogeny class
deg	9984	Modular degree for the optimal curve
Eigenvalues	2- 3+  2 7- 11-  2 17+ -4	Hecke eigenvalues for primes less than 20
L	3.6602523835476	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	62832bk 23562n 54978cd 86394d	Quadratic twists by: -4 -3 -7 -11

Hecke Eigenvalues for isogeny class 7854m

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
-	+	2	-	-	2	+	-4	4	-10	0	10	6	4	8	6	0	2	4	4	14	-8	0	-18	-10

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Quadratic twists for isogeny class 7854m

-4	-3	-7	-11
62832bk	23562n	54978cd	86394d

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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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