Cremona's table of elliptic curves

3234 = 2 · 3 · 7² · 11

Field	Data	Notes
Atkin-Lehner	2- 3+ 7- 11-	Signs for the Atkin-Lehner involutions
Conductor	3234	Conductor
Count	4	Number of curves in isogeny class
Curves	3234r1 3234r2 3234r3 3234r4	Curves in isogeny class
deg	9216	Modular degree for the optimal curve
Eigenvalues	2- 3+ -2 7- 11-  2  2  0	Hecke eigenvalues for primes less than 20
L	2.0383890743779	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	25872co 103488dd 9702p 80850ck	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 3234r

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

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Quadratic twists for isogeny class 3234r

-4	8	-3	5	-7	-11
25872co	103488dd	9702p	80850ck	462f	35574o

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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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