Cremona's table of elliptic curves

234 = 2 · 3² · 13

Field	Data	Notes
Atkin-Lehner	2- 3+ 13+	Signs for the Atkin-Lehner involutions
Conductor	234	Conductor
Count	2	Number of curves in isogeny class
Curves	234b1 234b2	Curves in isogeny class
deg	48	Modular degree for the optimal curve
Eigenvalues	2- 3+  2 -2  4 13+  0 -6	Hecke eigenvalues for primes less than 20
L	1.95536655685	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	1872j 7488h 234c 5850c	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 234b

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	-2	4	+	0	-6	-4	8	-2	6	-6	-8	-8	-12	-4	10	-2	16	14	-4	12	6	-10

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Quadratic twists for isogeny class 234b

-4	8	-3	5	-7	-11	13	17	-19	-23
1872j	7488h	234c	5850c	11466bo	28314f	3042a	67626q	84474i	123786x

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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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