Cremona's table of elliptic curves

4032 = 2⁶ · 3² · 7

Field	Data	Notes
Atkin-Lehner	2+ 3- 7-	Signs for the Atkin-Lehner involutions
Conductor	4032	Conductor
Count	6	Number of curves in isogeny class
Curves	4032l1 4032l2 4032l3 4032l4 4032l5 4032l6	Curves in isogeny class
deg	1536	Modular degree for the optimal curve
Eigenvalues	2+ 3-  0 7-  0  4 -6 -2	Hecke eigenvalues for primes less than 20
L	3.7706552954708	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	4032z 126a 448c 100800da	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 4032l

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

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Quadratic twists for isogeny class 4032l

-4	8	-3	5	-7
4032z	126a	448c	100800da	28224bi

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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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