Cremona's table of elliptic curves

1598 = 2 · 17 · 47

Field	Data	Notes
Atkin-Lehner	2- 17- 47+	Signs for the Atkin-Lehner involutions
Conductor	1598	Conductor
Count	4	Number of curves in isogeny class
Curves	1598b1 1598b2 1598b3 1598b4	Curves in isogeny class
deg	192	Modular degree for the optimal curve
Eigenvalues	2-  0  2 -4 -4 -2 17-  4	Hecke eigenvalues for primes less than 20
L	3.8845817208985	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	12784e 51136c 14382d 39950c	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 1598b

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
-	0	2	-4	-4	-2	-	4	-8	2	-8	-2	6	-4	+	-10	12	6	4	-12	-2	-4	12	-6	2

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Quadratic twists for isogeny class 1598b

-4	8	-3	5	-7	17	-47
12784e	51136c	14382d	39950c	78302e	27166b	75106e

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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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