Cremona's table of elliptic curves

144 = 2⁴ · 3²

Field	Data	Notes
Atkin-Lehner	2- 3+	Signs for the Atkin-Lehner involutions
Conductor	144	Conductor
Count	4	Number of curves in isogeny class
Curves	144a1 144a2 144a3 144a4	Curves in isogeny class
deg	4	Modular degree for the optimal curve
Eigenvalues	2- 3+  0  4  0  2  0 -8	Hecke eigenvalues for primes less than 20
L	1.2143253239438	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	36a 576e 144a 3600bb	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 144a

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	4	0	2	0	-8	0	0	4	-10	0	-8	0	0	0	14	16	0	-10	4	0	0	14

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Quadratic twists for isogeny class 144a

-4	8	-3	5	-7	-11	13	17	-19	-23	29
36a	576e	144a	3600bb	7056bf	17424be	24336ba	41616bk	51984bo	76176bg	121104bd

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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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