Elliptic curve isogeny class with Cremona label 108900du (LMFDB label 108900.q)

• Label: 108900du
• Number of curves: $1$
• Conductor: $108900$
• CM: no
• Rank: $1$

Rank

The elliptic curve 108900du1 has rank \(1\).

L-function data

Bad L-factors:

Prime	L-Factor
\(2\)	\(1\)
\(3\)	\(1\)
\(5\)	\(1\)
\(11\)	\(1\)

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(7\)	\( 1 - 4 T + 7 T^{2}\)	1.7.ae
\(13\)	\( 1 - 4 T + 13 T^{2}\)	1.13.ae
\(17\)	\( 1 - 4 T + 17 T^{2}\)	1.17.ae
\(19\)	\( 1 + 8 T + 19 T^{2}\)	1.19.i
\(23\)	\( 1 - 4 T + 23 T^{2}\)	1.23.ae
\(29\)	\( 1 + 8 T + 29 T^{2}\)	1.29.i
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 108900du do not have complex multiplication.

Modular form 108900.2.a.du

Elliptic curves in class 108900du

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
108900.q1	108900du1	\([0, 0, 0, -335775, -82987850]\)	\(-20261200/2673\)	\(-552335020981920000\)	\([]\)	\(1382400\)	\(2.1373\)	\(\Gamma_0(N)\)-optimal