Cremona's table of elliptic curves

275 = 5² · 11

Field	Data	Notes
Atkin-Lehner	5+ 11+	Signs for the Atkin-Lehner involutions
Conductor	275	Conductor
Count	4	Number of curves in isogeny class
Curves	275a1 275a2 275a3 275a4	Curves in isogeny class
deg	24	Modular degree for the optimal curve
Eigenvalues	-1  0 5+  0 11+ -2 -6 -4	Hecke eigenvalues for primes less than 20
L	1.0969494293484	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	4400q 17600j 2475j 55a	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 275a

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	0	+	0	+	-2	-6	-4	-4	6	-8	2	2	-4	12	2	4	-10	16	8	-14	8	4	10	-10

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Quadratic twists for isogeny class 275a

-4	8	-3	5	-7	-11	13	17	-19
4400q	17600j	2475j	55a	13475e	3025b	46475f	79475k	99275b

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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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