Cremona's table of elliptic curves

874 = 2 · 19 · 23

Field	Data	Notes
Atkin-Lehner	2- 19+ 23-	Signs for the Atkin-Lehner involutions
Conductor	874	Conductor
Count	2	Number of curves in isogeny class
Curves	874e1 874e2	Curves in isogeny class
deg	400	Modular degree for the optimal curve
Eigenvalues	2- -1  1 -2 -3 -6 -2 19+	Hecke eigenvalues for primes less than 20
L	2.8015532326937	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	6992o 27968q 7866e 21850a	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 874e

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
-	-1	1	-2	-3	-6	-2	+	-	5	2	-2	-8	-1	13	-6	-5	2	-2	-8	-1	-5	9	-5	3

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Quadratic twists for isogeny class 874e

-4	8	-3	5	-7	-11	-19	-23
6992o	27968q	7866e	21850a	42826t	105754k	16606g	20102r

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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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