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	238b1 238b2	Curves in isogeny class
deg	8	Modular degree for the optimal curve
Eigenvalues	2+  0 -2 7+ -2  0 17+ -2	Hecke eigenvalues for primes less than 20
L	1.072323770296	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	1904d 7616a 2142p 5950p	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 238b

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	+	-2	0	+	-2	-8	0	8	-4	-6	4	8	-6	10	10	8	4	-10	-4	-6	-6	-14

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Quadratic twists for isogeny class 238b

-4	8	-3	5	-7	-11	13	17	-19	-23
1904d	7616a	2142p	5950p	1666d	28798ba	40222u	4046e	85918bc	125902g

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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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