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	4	Number of curves in isogeny class
Curves	272d1 272d2 272d3 272d4	Curves in isogeny class
deg	48	Modular degree for the optimal curve
Eigenvalues	2-  2  0  4 -6  2 17+  4	Hecke eigenvalues for primes less than 20
L	1.8641750574724	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	34a 1088i 2448q 6800t	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 272d

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

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Quadratic twists for isogeny class 272d

-4	8	-3	5	-7	-11	13	17	-19
34a	1088i	2448q	6800t	13328w	32912bb	45968k	4624f	98192q

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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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