Cremona's table of elliptic curves

21315 = 3 · 5 · 7² · 29

Field	Data	Notes
Atkin-Lehner	3- 5+ 7- 29-	Signs for the Atkin-Lehner involutions
Conductor	21315	Conductor
Count	8	Number of curves in isogeny class
Curves	21315p1 21315p2 21315p3 21315p4 21315p5 21315p6 21315p7 21315p8	Curves in isogeny class
deg	122880	Modular degree for the optimal curve
Eigenvalues	-1 3- 5+ 7-  4  2 -2  4	Hecke eigenvalues for primes less than 20
L	1.5297552057529	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	63945bb 106575s 3045e	Quadratic twists by: -3 5 -7

Hecke Eigenvalues for isogeny class 21315p

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
-1	-	+	-	4	2	-2	4	-8	-	8	6	-10	-12	-8	6	-12	2	4	-8	6	8	12	6	14

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Quadratic twists for isogeny class 21315p

-3	5	-7
63945bb	106575s	3045e

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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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