Cremona's table of elliptic curves

272 = 2⁴ · 17

Field	Data	Notes
Atkin-Lehner	2+ 17-	Signs for the Atkin-Lehner involutions
Conductor	272	Conductor
Count	2	Number of curves in isogeny class
Curves	272c1 272c2	Curves in isogeny class
deg	16	Modular degree for the optimal curve
Eigenvalues	2+  2 -2  2  6  2 17-  0	Hecke eigenvalues for primes less than 20
L	1.7365317314057	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	136a 1088m 2448c 6800d	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 272c

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

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Quadratic twists for isogeny class 272c

-4	8	-3	5	-7	-11	13	17	-19
136a	1088m	2448c	6800d	13328d	32912f	45968f	4624d	98192e

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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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