Cremona's table of elliptic curves

78400 = 2⁶ · 5² · 7²

Field	Data	Notes
Atkin-Lehner	2- 5+ 7-	Signs for the Atkin-Lehner involutions
Conductor	78400	Conductor
Count	4	Number of curves in isogeny class
Curves	78400gw1 78400gw2 78400gw3 78400gw4	Curves in isogeny class
deg	73728	Modular degree for the optimal curve
Eigenvalues	2-  0 5+ 7-  4  0  0  0	Hecke eigenvalues for primes less than 20
L	6.6816394303005	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	78400v 19600cb 3136r 78400gw	Quadratic twists by: -4 8 5 -7

Hecke Eigenvalues for isogeny class 78400gw

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	+	-	4	0	0	0	8	-2	0	-6	0	12	0	-10	0	0	-4	-16	0	-8	0	0	0

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Quadratic twists for isogeny class 78400gw

-4	8	5	-7
78400v	19600cb	3136r	78400gw

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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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