Cremona's table of elliptic curves

122400 = 2⁵ · 3² · 5² · 17

Field	Data	Notes
Atkin-Lehner	2- 3- 5+ 17-	Signs for the Atkin-Lehner involutions
Conductor	122400	Conductor
Count	4	Number of curves in isogeny class
Curves	122400dt1 122400dt2 122400dt3 122400dt4	Curves in isogeny class
deg	786432	Modular degree for the optimal curve
Eigenvalues	2- 3- 5+  4  4  2 17-  8	Hecke eigenvalues for primes less than 20
L	4.8001886600116	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	122400dx 40800d 24480i	Quadratic twists by: -4 -3 5

Hecke Eigenvalues for isogeny class 122400dt

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

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Quadratic twists for isogeny class 122400dt

-4	-3	5
122400dx	40800d	24480i

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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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