Cremona's table of elliptic curves

1829 = 31 · 59

Field	Data	Notes
Atkin-Lehner	31- 59-	Signs for the Atkin-Lehner involutions
Conductor	1829	Conductor
Count	1	Number of curves in isogeny class
Curves	1829a1	Curves in isogeny class
deg	336	Modular degree for the optimal curve
Eigenvalues	-1 -3  3 -3 -2 -4  6 -1	Hecke eigenvalues for primes less than 20
L	1.2223910166682	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	29264e 117056g 16461a 45725b	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 1829a

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	-3	3	-3	-2	-4	6	-1	-6	3	-	10	-9	10	12	1	-	-4	10	-12	2	1	6	-4	-6

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Quadratic twists for isogeny class 1829a

-4	8	-3	5	-7	-31	-59
29264e	117056g	16461a	45725b	89621e	56699a	107911a

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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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