Cremona's table of elliptic curves

1127 = 7² · 23

Field	Data	Notes
Atkin-Lehner	7- 23+	Signs for the Atkin-Lehner involutions
Conductor	1127	Conductor
Count	4	Number of curves in isogeny class
Curves	1127a1 1127a2 1127a3 1127a4	Curves in isogeny class
deg	240	Modular degree for the optimal curve
Eigenvalues	-1  0 -2 7-  4 -6  2 -4	Hecke eigenvalues for primes less than 20
L	0.54109803803123	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	18032x 72128b 10143r 28175i	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 1127a

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

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Quadratic twists for isogeny class 1127a

-4	8	-3	5	-7	-23
18032x	72128b	10143r	28175i	161a	25921b

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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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