Elliptic curve isogeny class with Cremona label 46800dj (LMFDB label 46800.t)

• Label: 46800dj
• Number of curves: $1$
• Conductor: $46800$
• CM: no
• Rank: $1$

Rank

The elliptic curve 46800dj1 has rank \(1\).

L-function data

Bad L-factors:

Prime	L-Factor
\(2\)	\(1\)
\(3\)	\(1\)
\(5\)	\(1\)
\(13\)	\(1 + T\)

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(7\)	\( 1 + 7 T^{2}\)	1.7.a
\(11\)	\( 1 - 6 T + 11 T^{2}\)	1.11.ag
\(17\)	\( 1 + 4 T + 17 T^{2}\)	1.17.e
\(19\)	\( 1 + 4 T + 19 T^{2}\)	1.19.e
\(23\)	\( 1 - 4 T + 23 T^{2}\)	1.23.ae
\(29\)	\( 1 + 4 T + 29 T^{2}\)	1.29.e
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 46800dj do not have complex multiplication.

Modular form 46800.2.a.dj

Elliptic curves in class 46800dj

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
46800.t1	46800dj1	\([0, 0, 0, -1200, -146000]\)	\(-4096/195\)	\(-9097920000000\)	\([]\)	\(92160\)	\(1.1666\)	\(\Gamma_0(N)\)-optimal