Elliptic curve isogeny class with Cremona label 177744de (LMFDB label 177744.w)

• Label: 177744de
• Number of curves: $1$
• Conductor: $177744$
• CM: no
• Rank: $0$

Rank

The elliptic curve 177744de1 has rank \(0\).

L-function data

Bad L-factors:

Prime	L-Factor
\(2\)	\(1\)
\(3\)	\(1 - T\)
\(7\)	\(1 + T\)
\(23\)	\(1\)

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(5\)	\( 1 - 3 T + 5 T^{2}\)	1.5.ad
\(11\)	\( 1 + 2 T + 11 T^{2}\)	1.11.c
\(13\)	\( 1 - 3 T + 13 T^{2}\)	1.13.ad
\(17\)	\( 1 - 2 T + 17 T^{2}\)	1.17.ac
\(19\)	\( 1 + 2 T + 19 T^{2}\)	1.19.c
\(29\)	\( 1 + T + 29 T^{2}\)	1.29.b
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 177744de do not have complex multiplication.

Modular form 177744.2.a.de

Isogeny graph

Elliptic curves in class 177744de

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
177744.w1	177744de1	\([0, -1, 0, 3527, 5555989]\)	\(128000/352107\)	\(-13343865028639488\)	\([]\)	\(1182720\)	\(1.7731\)	\(\Gamma_0(N)\)-optimal