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	1	Number of curves in isogeny class
Curves	742f1	Curves in isogeny class
deg	1120	Modular degree for the optimal curve
Eigenvalues	2-  3 -2 7+  2  1  3  1	Hecke eigenvalues for primes less than 20
L	3.5841167557621	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	5936q 23744k 6678d 18550e	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 742f

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
-	3	-2	+	2	1	3	1	1	-9	0	-5	6	-6	0	+	-10	0	-4	-13	-12	1	-11	14	7

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Quadratic twists for isogeny class 742f

-4	8	-3	5	-7	-11	13	53
5936q	23744k	6678d	18550e	5194q	89782m	125398g	39326b

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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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