Cremona's table of elliptic curves

238 = 2 · 7 · 17

Field	Data	Notes
Atkin-Lehner	2- 7+ 17+	Signs for the Atkin-Lehner involutions
Conductor	238	Conductor
Count	2	Number of curves in isogeny class
Curves	238d1 238d2	Curves in isogeny class
deg	16	Modular degree for the optimal curve
Eigenvalues	2-  2  0 7+ -2 -2 17+  0	Hecke eigenvalues for primes less than 20
L	2.3178772183314	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	1904e 7616b 2142e 5950f	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 238d

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	0	+	-2	-2	+	0	4	4	0	8	-2	0	0	2	4	-12	-8	12	-14	12	4	-6	6

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Quadratic twists for isogeny class 238d

-4	8	-3	5	-7	-11	13	17	-19	-23
1904e	7616b	2142e	5950f	1666n	28798m	40222j	4046q	85918c	125902s

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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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