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	11550c1 11550c2 11550c3 11550c4 11550c5 11550c6 11550c7 11550c8	Curves in isogeny class
deg	82944	Modular degree for the optimal curve
Eigenvalues	2+ 3+ 5+ 7+ 11+ -2 -6 -4	Hecke eigenvalues for primes less than 20
L	2.3675767476507	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	92400hj 34650da 2310t 80850bz	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for isogeny class 11550c

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	8	10	-6	-8	0	-6	12	2	4	12	10	-4	12	6	10

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Quadratic twists for isogeny class 11550c

-4	-3	5	-7	-11
92400hj	34650da	2310t	80850bz	127050ga

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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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