Cremona's table of elliptic curves

5445 = 3² · 5 · 11²

Field	Data	Notes
Atkin-Lehner	3- 5+ 11-	Signs for the Atkin-Lehner involutions
Conductor	5445	Conductor
Count	8	Number of curves in isogeny class
Curves	5445g1 5445g2 5445g3 5445g4 5445g5 5445g6 5445g7 5445g8	Curves in isogeny class
deg	2560	Modular degree for the optimal curve
Eigenvalues	-1 3- 5+  0 11-  2  2 -4	Hecke eigenvalues for primes less than 20
L	2.2803601243383	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	87120dz 1815a 27225bi 45a	Quadratic twists by: -4 -3 5 -11

Hecke Eigenvalues for isogeny class 5445g

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
-1	-	+	0	-	2	2	-4	0	-2	0	-10	10	-4	-8	10	4	2	12	8	-10	0	12	6	2

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Quadratic twists for isogeny class 5445g

-4	-3	5	-11
87120dz	1815a	27225bi	45a

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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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