Cremona's table of elliptic curves

897 = 3 · 13 · 23

Field	Data	Notes
Atkin-Lehner	3+ 13- 23+	Signs for the Atkin-Lehner involutions
Conductor	897	Conductor
Count	4	Number of curves in isogeny class
Curves	897b1 897b2 897b3 897b4	Curves in isogeny class
deg	160	Modular degree for the optimal curve
Eigenvalues	-1 3+  2  4  0 13-  2  0	Hecke eigenvalues for primes less than 20
L	1.1256932605428	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	14352bk 57408bd 2691d 22425m	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 897b

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

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Quadratic twists for isogeny class 897b

-4	8	-3	5	-7	-11	13	-23
14352bk	57408bd	2691d	22425m	43953u	108537c	11661a	20631d

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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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