Cremona's table of elliptic curves

609 = 3 · 7 · 29

Field	Data	Notes
Atkin-Lehner	3+ 7- 29-	Signs for the Atkin-Lehner involutions
Conductor	609	Conductor
Count	6	Number of curves in isogeny class
Curves	609b1 609b2 609b3 609b4 609b5 609b6	Curves in isogeny class
deg	384	Modular degree for the optimal curve
Eigenvalues	-1 3+ -2 7-  4 -2  2 -4	Hecke eigenvalues for primes less than 20
L	1.1844590786271	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	9744q 38976x 1827b 15225o	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 609b

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

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Quadratic twists for isogeny class 609b

-4	8	-3	5	-7	-11	13	29
9744q	38976x	1827b	15225o	4263g	73689c	102921e	17661f

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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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