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	2	Number of curves in isogeny class
Curves	897a1 897a2	Curves in isogeny class
deg	768	Modular degree for the optimal curve
Eigenvalues	1 3+ -4  2 -2 13-  2  6	Hecke eigenvalues for primes less than 20
L	1.0302057839896	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	14352bl 57408be 2691h 22425n	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 897a

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

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Quadratic twists for isogeny class 897a

-4	8	-3	5	-7	-11	13	-23
14352bl	57408be	2691h	22425n	43953t	108537e	11661b	20631b

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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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