Cremona's table of elliptic curves

1089 = 3² · 11²

Field	Data	Notes
Atkin-Lehner	3+ 11-	Signs for the Atkin-Lehner involutions
Conductor	1089	Conductor
Count	2	Number of curves in isogeny class
Curves	1089b1 1089b2	Curves in isogeny class
deg	1232	Modular degree for the optimal curve
Eigenvalues	0 3+  0 -5 11- -2  0  7	Hecke eigenvalues for primes less than 20
L	0.82968098646459	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	17424bf 69696q 1089b 27225a	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 1089b

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	-5	-	-2	0	7	0	0	11	11	0	-8	0	0	0	1	11	0	-17	13	0	0	5

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Quadratic twists for isogeny class 1089b

-4	8	-3	5	-7	-11
17424bf	69696q	1089b	27225a	53361f	1089a

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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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