Cremona's table of elliptic curves

3168 = 2⁵ · 3² · 11

Field	Data	Notes
Atkin-Lehner	2+ 3+ 11+	Signs for the Atkin-Lehner involutions
Conductor	3168	Conductor
Count	2	Number of curves in isogeny class
Curves	3168c1 3168c2	Curves in isogeny class
deg	768	Modular degree for the optimal curve
Eigenvalues	2+ 3+  2  0 11+  0 -2 -6	Hecke eigenvalues for primes less than 20
L	3.761198361235	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	3168e 6336bs 3168s 79200ck	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 3168c

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	+	0	-2	-6	-6	-2	0	-2	2	-6	-6	-2	0	8	-12	6	6	-12	12	8	6

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Quadratic twists for isogeny class 3168c

-4	8	-3	5	-11
3168e	6336bs	3168s	79200ck	34848bk

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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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