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	272b1 272b2 272b3 272b4	Curves in isogeny class
deg	16	Modular degree for the optimal curve
Eigenvalues	2-  0 -2 -4  0 -2 17-  4	Hecke eigenvalues for primes less than 20
L	1.397785380624	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	17a 1088k 2448o 6800h	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 272b

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
-	0	-2	-4	0	-2	-	4	-4	6	-4	-2	-6	-4	0	6	12	-10	-4	4	-6	-12	4	10	2

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Quadratic twists for isogeny class 272b

-4	8	-3	5	-7	-11	13	17	-19
17a	1088k	2448o	6800h	13328o	32912t	45968p	4624e	98192v

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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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