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	897c1 897c2 897c3 897c4	Curves in isogeny class
deg	48	Modular degree for the optimal curve
Eigenvalues	-1 3+ -2  0  0 13-  6 -4	Hecke eigenvalues for primes less than 20
L	1.2516489191625	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	14352be 57408bh 2691c 22425l	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 897c

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

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Quadratic twists for isogeny class 897c

-4	8	-3	5	-7	-11	13	-23
14352be	57408bh	2691c	22425l	43953w	108537g	11661e	20631c

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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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