Cremona's table of elliptic curves

12992 = 2⁶ · 7 · 29

Field	Data	Notes
Atkin-Lehner	2+ 7+ 29+	Signs for the Atkin-Lehner involutions
Conductor	12992	Conductor
Count	2	Number of curves in isogeny class
Curves	12992a1 12992a2	Curves in isogeny class
deg	1664	Modular degree for the optimal curve
Eigenvalues	2+  0  2 7+  6 -2 -4  8	Hecke eigenvalues for primes less than 20
L	5.2384700412288	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	12992k 6496c 116928bs 90944o	Quadratic twists by: -4 8 -3 -7

Hecke Eigenvalues for isogeny class 12992a

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

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Quadratic twists for isogeny class 12992a

-4	8	-3	-7
12992k	6496c	116928bs	90944o

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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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