Cremona's table of elliptic curves

4550 = 2 · 5² · 7 · 13

Field	Data	Notes
Atkin-Lehner	2+ 5+ 7+ 13+	Signs for the Atkin-Lehner involutions
Conductor	4550	Conductor
Count	6	Number of curves in isogeny class
Curves	4550c1 4550c2 4550c3 4550c4 4550c5 4550c6	Curves in isogeny class
deg	13824	Modular degree for the optimal curve
Eigenvalues	2+  2 5+ 7+  0 13+  0  2	Hecke eigenvalues for primes less than 20
L	3.7107942594063	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	36400bx 40950dl 910j 31850bc	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for isogeny class 4550c

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

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Quadratic twists for isogeny class 4550c

-4	-3	5	-7	13
36400bx	40950dl	910j	31850bc	59150bx

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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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