Cremona's table of elliptic curves

333 = 3² · 37

Field	Data	Notes
Atkin-Lehner	3- 37-	Signs for the Atkin-Lehner involutions
Conductor	333	Conductor
Count	3	Number of curves in isogeny class
Curves	333a1 333a2 333a3	Curves in isogeny class
deg	20	Modular degree for the optimal curve
Eigenvalues	0 3-  0 -1 -3 -4 -6  2	Hecke eigenvalues for primes less than 20
L	1.479299492077	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	5328u 21312k 37b 8325q	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 333a

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	-1	-3	-4	-6	2	-6	6	-4	-	9	8	-3	3	-12	8	-4	15	11	-10	-9	-6	8

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Quadratic twists for isogeny class 333a

-4	8	-3	5	-7	-11	13	17	-19	37
5328u	21312k	37b	8325q	16317g	40293j	56277c	96237e	120213h	12321c

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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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