Cremona's table of elliptic curves

6825 = 3 · 5² · 7 · 13

Field	Data	Notes
Atkin-Lehner	3- 5+ 7+ 13+	Signs for the Atkin-Lehner involutions
Conductor	6825	Conductor
Count	6	Number of curves in isogeny class
Curves	6825h1 6825h2 6825h3 6825h4 6825h5 6825h6	Curves in isogeny class
deg	18432	Modular degree for the optimal curve
Eigenvalues	1 3- 5+ 7+  4 13+ -2 -4	Hecke eigenvalues for primes less than 20
L	2.665050408329	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	109200dt 20475s 1365b 47775p	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for isogeny class 6825h

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

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Quadratic twists for isogeny class 6825h

-4	-3	5	-7	13
109200dt	20475s	1365b	47775p	88725bt

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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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