Cremona's table of elliptic curves

37536 = 2⁵ · 3 · 17 · 23

Field	Data	Notes
Atkin-Lehner	2- 3+ 17+ 23-	Signs for the Atkin-Lehner involutions
Conductor	37536	Conductor
Count	4	Number of curves in isogeny class
Curves	37536p1 37536p2 37536p3 37536p4	Curves in isogeny class
deg	12288	Modular degree for the optimal curve
Eigenvalues	2- 3+  2 -4  0 -2 17+ -4	Hecke eigenvalues for primes less than 20
L	4.0795946811853	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	37536y 75072cx 112608q	Quadratic twists by: -4 8 -3

Hecke Eigenvalues for isogeny class 37536p

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	-4	0	-2	+	-4	-	-10	8	-6	6	4	4	-2	12	-14	4	8	10	12	-12	6	14

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Quadratic twists for isogeny class 37536p

-4	8	-3
37536y	75072cx	112608q

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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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