Cremona's table of elliptic curves

1742 = 2 · 13 · 67

Field	Data	Notes
Atkin-Lehner	2- 13- 67+	Signs for the Atkin-Lehner involutions
Conductor	1742	Conductor
Count	1	Number of curves in isogeny class
Curves	1742a1	Curves in isogeny class
deg	360	Modular degree for the optimal curve
Eigenvalues	2- -1  3 -3 -4 13-  1 -8	Hecke eigenvalues for primes less than 20
L	3.7262329759553	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	13936c 55744d 15678f 43550c	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 1742a

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	3	-3	-4	-	1	-8	-4	-6	0	1	-6	-7	3	14	0	2	+	5	-8	12	-12	0	8

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Quadratic twists for isogeny class 1742a

-4	8	-3	5	-7	13	-67
13936c	55744d	15678f	43550c	85358o	22646e	116714a

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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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