Elliptic curve isogeny class with LMFDB label 124800.ck (Cremona label 124800dr)

• Label: 124800.ck
• Number of curves: $1$
• Conductor: $124800$
• CM: no
• Rank: $1$

Rank

The elliptic curve 124800.ck1 has rank \(1\).

L-function data

Bad L-factors:

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

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(7\)	\( 1 - 3 T + 7 T^{2}\)	1.7.ad
\(11\)	\( 1 + 5 T + 11 T^{2}\)	1.11.f
\(17\)	\( 1 - 7 T + 17 T^{2}\)	1.17.ah
\(19\)	\( 1 - 4 T + 19 T^{2}\)	1.19.ae
\(23\)	\( 1 - 4 T + 23 T^{2}\)	1.23.ae
\(29\)	\( 1 + 9 T + 29 T^{2}\)	1.29.j
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 124800.ck do not have complex multiplication.

Modular form 124800.2.a.ck

Elliptic curves in class 124800.ck

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
124800.ck1	124800dr1	\([0, -1, 0, -274253, -58583883]\)	\(-5569542323205760/407953774917\)	\(-167097866206003200\)	\([]\)	\(1689600\)	\(2.0540\)	\(\Gamma_0(N)\)-optimal