Cremona's table of elliptic curves

4048 = 2⁴ · 11 · 23

Field	Data	Notes
Atkin-Lehner	2- 11- 23+	Signs for the Atkin-Lehner involutions
Conductor	4048	Conductor
Count	2	Number of curves in isogeny class
Curves	4048j1 4048j2	Curves in isogeny class
deg	864	Modular degree for the optimal curve
Eigenvalues	2- -1  0  4 11-  5 -6 -2	Hecke eigenvalues for primes less than 20
L	3.4102660129424	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	1012b 16192q 36432bs 101200bw	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 4048j

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	4	-	5	-6	-2	+	-9	-5	-10	-3	10	3	0	-12	-4	-2	3	11	-8	0	6	8

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Quadratic twists for isogeny class 4048j

-4	8	-3	5	-11	-23
1012b	16192q	36432bs	101200bw	44528p	93104l

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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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