Cremona's table of elliptic curves

3325 = 5² · 7 · 19

Field	Data	Notes
Atkin-Lehner	5+ 7- 19-	Signs for the Atkin-Lehner involutions
Conductor	3325	Conductor
Count	4	Number of curves in isogeny class
Curves	3325g1 3325g2 3325g3 3325g4	Curves in isogeny class
deg	768	Modular degree for the optimal curve
Eigenvalues	-1  0 5+ 7- -4  2 -2 19-	Hecke eigenvalues for primes less than 20
L	2.0932179216494	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	53200bm 29925be 665b 23275m	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for isogeny class 3325g

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

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Quadratic twists for isogeny class 3325g

-4	-3	5	-7	-19
53200bm	29925be	665b	23275m	63175n

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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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