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	3234s1 3234s2 3234s3 3234s4	Curves in isogeny class
deg	7200	Modular degree for the optimal curve
Eigenvalues	2- 3+  4 7- 11- -4  2  0	Hecke eigenvalues for primes less than 20
L	3.5539228549336	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	25872cs 103488do 9702t 80850cp	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 3234s

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

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Quadratic twists for isogeny class 3234s

-4	8	-3	5	-7	-11
25872cs	103488do	9702t	80850cp	66c	35574q

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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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