Cremona's table of elliptic curves

742 = 2 · 7 · 53

Field	Data	Notes
Atkin-Lehner	2+ 7- 53-	Signs for the Atkin-Lehner involutions
Conductor	742	Conductor
Count	2	Number of curves in isogeny class
Curves	742e1 742e2	Curves in isogeny class
deg	5600	Modular degree for the optimal curve
Eigenvalues	2+  2 -4 7-  0 -4 -2  6	Hecke eigenvalues for primes less than 20
L	1.9175643082376	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	5936l 23744m 6678r 18550l	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 742e

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	-4	-	0	-4	-2	6	-8	-6	-8	-6	2	-8	4	-	2	12	-4	-8	-2	8	6	2	-2

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Quadratic twists for isogeny class 742e

-4	8	-3	5	-7	-11	13	53
5936l	23744m	6678r	18550l	5194j	89782bc	125398n	39326m

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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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