Cremona's table of elliptic curves

1911 = 3 · 7² · 13

Field	Data	Notes
Atkin-Lehner	3+ 7- 13-	Signs for the Atkin-Lehner involutions
Conductor	1911	Conductor
Count	1	Number of curves in isogeny class
Curves	1911c1	Curves in isogeny class
deg	32256	Modular degree for the optimal curve
Eigenvalues	2 3+ -1 7- -2 13-  0 -1	Hecke eigenvalues for primes less than 20
L	4.5132398292591	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	30576cw 122304cx 5733m 47775cl	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 1911c

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
2	+	-1	-	-2	-	0	-1	3	-5	-9	0	-2	-1	-3	-9	0	2	10	-12	-15	11	-3	17	-3

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Quadratic twists for isogeny class 1911c

-4	8	-3	5	-7	13
30576cw	122304cx	5733m	47775cl	273b	24843f

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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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