Elliptic curve isogeny class with LMFDB label 9450.dj (Cremona label 9450cn)

• Label: 9450.dj
• Number of curves: $1$
• Conductor: $9450$
• CM: no
• Rank: $1$

Rank

The elliptic curve 9450.dj1 has rank \(1\).

L-function data

Bad L-factors:

Prime	L-Factor
\(2\)	\(1 - T\)
\(3\)	\(1\)
\(5\)	\(1\)
\(7\)	\(1 - T\)

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(11\)	\( 1 + T + 11 T^{2}\)	1.11.b
\(13\)	\( 1 + 3 T + 13 T^{2}\)	1.13.d
\(17\)	\( 1 - 8 T + 17 T^{2}\)	1.17.ai
\(19\)	\( 1 + 3 T + 19 T^{2}\)	1.19.d
\(23\)	\( 1 + 6 T + 23 T^{2}\)	1.23.g
\(29\)	\( 1 + 6 T + 29 T^{2}\)	1.29.g
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 9450.dj do not have complex multiplication.

Modular form 9450.2.a.dj

Elliptic curves in class 9450.dj

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
9450.dj1	9450cn1	\([1, -1, 1, -18230, 963397]\)	\(-1588099077963/22400000\)	\(-9450000000000\)	\([]\)	\(28800\)	\(1.2954\)	\(\Gamma_0(N)\)-optimal