Cremona's table of elliptic curves

76176 = 2⁴ · 3² · 23²

Field	Data	Notes
Atkin-Lehner	2+ 3- 23-	Signs for the Atkin-Lehner involutions
Conductor	76176	Conductor
Count	6	Number of curves in isogeny class
Curves	76176o1 76176o2 76176o3 76176o4 76176o5 76176o6	Curves in isogeny class
deg	90112	Modular degree for the optimal curve
Eigenvalues	2+ 3- -2  0 -4 -2  2 -4	Hecke eigenvalues for primes less than 20
L	3.6523398204477	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	38088i 25392g 144b	Quadratic twists by: -4 -3 -23

Hecke Eigenvalues for isogeny class 76176o

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	-4	-2	2	-4	-	-6	-8	-6	6	4	0	-2	4	2	-4	8	10	-8	4	-6	-2

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Quadratic twists for isogeny class 76176o

-4	-3	-23
38088i	25392g	144b

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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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