Cremona's table of elliptic curves

21840 = 2⁴ · 3 · 5 · 7 · 13

Field	Data	Notes
Atkin-Lehner	2- 3- 5- 7+ 13-	Signs for the Atkin-Lehner involutions
Conductor	21840	Conductor
Count	6	Number of curves in isogeny class
Curves	21840cg1 21840cg2 21840cg3 21840cg4 21840cg5 21840cg6	Curves in isogeny class
deg	147456	Modular degree for the optimal curve
Eigenvalues	2- 3- 5- 7+  4 13- -6  4	Hecke eigenvalues for primes less than 20
L	7.124386372253	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	2730x 87360ec 65520cv 109200ds	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 21840cg

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	-	-6	4	8	-10	0	-2	-6	-12	-8	-2	-4	-2	4	-8	-14	-16	4	-6	-6

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Quadratic twists for isogeny class 21840cg

-4	8	-3	5
2730x	87360ec	65520cv	109200ds

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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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