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	4	Number of curves in isogeny class
Curves	4032bd1 4032bd2 4032bd3 4032bd4	Curves in isogeny class
deg	3072	Modular degree for the optimal curve
Eigenvalues	2- 3-  2 7+  0 -6  2  4	Hecke eigenvalues for primes less than 20
L	3.9032916127305	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	4032o 1008e 1344l 100800na	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 4032bd

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

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Quadratic twists for isogeny class 4032bd

-4	8	-3	5	-7
4032o	1008e	1344l	100800na	28224gb

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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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