Elliptic curve isogeny class with LMFDB label 254898.fu (Cremona label 254898fu)

• Label: 254898.fu
• Number of curves: $1$
• Conductor: $254898$
• CM: no
• Rank: $1$

Rank

The elliptic curve 254898.fu1 has rank \(1\).

L-function data

Bad L-factors:

Prime	L-Factor
\(2\)	\(1 - T\)
\(3\)	\(1\)
\(7\)	\(1\)
\(17\)	\(1\)

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(5\)	\( 1 + T + 5 T^{2}\)	1.5.b
\(11\)	\( 1 - T + 11 T^{2}\)	1.11.ab
\(13\)	\( 1 - 3 T + 13 T^{2}\)	1.13.ad
\(19\)	\( 1 - 2 T + 19 T^{2}\)	1.19.ac
\(23\)	\( 1 - 4 T + 23 T^{2}\)	1.23.ae
\(29\)	\( 1 + 29 T^{2}\)	1.29.a
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 254898.fu do not have complex multiplication.

Modular form 254898.2.a.fu

Elliptic curves in class 254898.fu

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
254898.fu1	254898fu1	\([1, -1, 1, -746108, -323521985]\)	\(-599077107/243712\)	\(-18686262534180562944\)	\([]\)	\(4866048\)	\(2.4063\)	\(\Gamma_0(N)\)-optimal