Cremona's table of elliptic curves

11550 = 2 · 3 · 5² · 7 · 11

Field	Data	Notes
Atkin-Lehner	2- 3+ 5+ 7+ 11+	Signs for the Atkin-Lehner involutions
Conductor	11550	Conductor
Count	8	Number of curves in isogeny class
Curves	11550bk1 11550bk2 11550bk3 11550bk4 11550bk5 11550bk6 11550bk7 11550bk8	Curves in isogeny class
deg	331776	Modular degree for the optimal curve
Eigenvalues	2- 3+ 5+ 7+ 11+ -2  6 -4	Hecke eigenvalues for primes less than 20
L	2.1639563518407	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	92400hf 34650s 2310g 80850fx	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for isogeny class 11550bk

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

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Quadratic twists for isogeny class 11550bk

-4	-3	5	-7	-11
92400hf	34650s	2310g	80850fx	127050be

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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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