Cremona's table of elliptic curves

2275 = 5² · 7 · 13

Field	Data	Notes
Atkin-Lehner	5+ 7- 13+	Signs for the Atkin-Lehner involutions
Conductor	2275	Conductor
Count	4	Number of curves in isogeny class
Curves	2275c1 2275c2 2275c3 2275c4	Curves in isogeny class
deg	768	Modular degree for the optimal curve
Eigenvalues	1  0 5+ 7-  0 13+  6  0	Hecke eigenvalues for primes less than 20
L	1.9201186162448	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	36400bc 20475y 455b 15925n	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for isogeny class 2275c

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

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Quadratic twists for isogeny class 2275c

-4	-3	5	-7	13
36400bc	20475y	455b	15925n	29575c

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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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