Cremona's table of elliptic curves

29760 = 2⁶ · 3 · 5 · 31

Field	Data	Notes
Atkin-Lehner	2+ 3+ 5- 31-	Signs for the Atkin-Lehner involutions
Conductor	29760	Conductor
Count	4	Number of curves in isogeny class
Curves	29760q1 29760q2 29760q3 29760q4	Curves in isogeny class
deg	40960	Modular degree for the optimal curve
Eigenvalues	2+ 3+ 5-  0  0  2 -2  4	Hecke eigenvalues for primes less than 20
L	5.1587957207102	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	29760ct 3720c 89280bk	Quadratic twists by: -4 8 -3

Hecke Eigenvalues for isogeny class 29760q

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

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Quadratic twists for isogeny class 29760q

-4	8	-3
29760ct	3720c	89280bk

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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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