Cremona's table of elliptic curves

7650 = 2 · 3² · 5² · 17

Field	Data	Notes
Atkin-Lehner	2- 3- 5+ 17-	Signs for the Atkin-Lehner involutions
Conductor	7650	Conductor
Count	8	Number of curves in isogeny class
Curves	7650ca1 7650ca2 7650ca3 7650ca4 7650ca5 7650ca6 7650ca7 7650ca8	Curves in isogeny class
deg	24576	Modular degree for the optimal curve
Eigenvalues	2- 3- 5+  0 -4  2 17-  4	Hecke eigenvalues for primes less than 20
L	3.2477984990179	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	61200ff 2550h 1530c	Quadratic twists by: -4 -3 5

Hecke Eigenvalues for isogeny class 7650ca

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

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Quadratic twists for isogeny class 7650ca

-4	-3	5
61200ff	2550h	1530c

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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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