Elliptic curve isogeny class with LMFDB label 244800.qr (Cremona label 244800qr)

• Label: 244800.qr
• Number of curves: $1$
• Conductor: $244800$
• CM: no
• Rank: $0$

Rank

The elliptic curve 244800.qr1 has rank \(0\).

L-function data

Bad L-factors:

Prime	L-Factor
\(2\)	\(1\)
\(3\)	\(1\)
\(5\)	\(1\)
\(17\)	\(1 - T\)

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(7\)	\( 1 - 3 T + 7 T^{2}\)	1.7.ad
\(11\)	\( 1 - 3 T + 11 T^{2}\)	1.11.ad
\(13\)	\( 1 + 4 T + 13 T^{2}\)	1.13.e
\(19\)	\( 1 - 5 T + 19 T^{2}\)	1.19.af
\(23\)	\( 1 + 4 T + 23 T^{2}\)	1.23.e
\(29\)	\( 1 + 2 T + 29 T^{2}\)	1.29.c
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 244800.qr do not have complex multiplication.

Modular form 244800.2.a.qr

Elliptic curves in class 244800.qr

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
244800.qr1	244800qr1	\([0, 0, 0, -67500, -2430000]\)	\(33750/17\)	\(17132083200000000\)	\([]\)	\(1474560\)	\(1.8076\)	\(\Gamma_0(N)\)-optimal