Cremona's table of elliptic curves

10736 = 2⁴ · 11 · 61

Field	Data	Notes
Atkin-Lehner	2- 11+ 61-	Signs for the Atkin-Lehner involutions
Conductor	10736	Conductor
Count	3	Number of curves in isogeny class
Curves	10736f1 10736f2 10736f3	Curves in isogeny class
deg	76800	Modular degree for the optimal curve
Eigenvalues	2-  1 -4  2 11+ -1  3  0	Hecke eigenvalues for primes less than 20
L	4.0356135254309	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	1342c 42944v 96624bu 118096y	Quadratic twists by: -4 8 -3 -11

Hecke Eigenvalues for isogeny class 10736f

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	-4	2	+	-1	3	0	-4	10	-7	3	-8	11	12	9	0	-	-8	3	14	0	-14	0	-17

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Quadratic twists for isogeny class 10736f

-4	8	-3	-11
1342c	42944v	96624bu	118096y

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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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