Cremona's table of elliptic curves

10890 = 2 · 3² · 5 · 11²

Field	Data	Notes
Atkin-Lehner	2- 3+ 5- 11-	Signs for the Atkin-Lehner involutions
Conductor	10890	Conductor
Count	4	Number of curves in isogeny class
Curves	10890bk1 10890bk2 10890bk3 10890bk4	Curves in isogeny class
deg	207360	Modular degree for the optimal curve
Eigenvalues	2- 3+ 5-  4 11-  4 -6 -2	Hecke eigenvalues for primes less than 20
L	5.0911216587795	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	87120dq 10890e 54450o 990b	Quadratic twists by: -4 -3 5 -11

Hecke Eigenvalues for isogeny class 10890bk

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
-	+	-	4	-	4	-6	-2	6	-6	8	2	-6	10	6	-6	0	-8	-4	6	-14	16	12	0	14

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Quadratic twists for isogeny class 10890bk

-4	-3	5	-11
87120dq	10890e	54450o	990b

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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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