Cremona's table of elliptic curves

121275 = 3² · 5² · 7² · 11

Field	Data	Notes
Atkin-Lehner	3- 5+ 7- 11+	Signs for the Atkin-Lehner involutions
Conductor	121275	Conductor
Count	6	Number of curves in isogeny class
Curves	121275dh1 121275dh2 121275dh3 121275dh4 121275dh5 121275dh6	Curves in isogeny class
deg	2359296	Modular degree for the optimal curve
Eigenvalues	-1 3- 5+ 7- 11+ -2  6  4	Hecke eigenvalues for primes less than 20
L	4.1912824963007	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	40425w 24255bm 17325y	Quadratic twists by: -3 5 -7

Hecke Eigenvalues for isogeny class 121275dh

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
-1	-	+	-	+	-2	6	4	8	-6	-8	-6	-6	4	8	-10	-12	10	12	8	-6	8	4	10	-14

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Quadratic twists for isogeny class 121275dh

-3	5	-7
40425w	24255bm	17325y

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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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