Elliptic curve isogeny class with Cremona label 222600bk (LMFDB label 222600.ch)

• Label: 222600bk
• Number of curves: $1$
• Conductor: $222600$
• CM: no
• Rank: $2$

Rank

The elliptic curve 222600bk1 has rank \(2\).

L-function data

Bad L-factors:

Prime	L-Factor
\(2\)	\(1\)
\(3\)	\(1 - T\)
\(5\)	\(1\)
\(7\)	\(1 + T\)
\(53\)	\(1 - T\)

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(11\)	\( 1 + 4 T + 11 T^{2}\)	1.11.e
\(13\)	\( 1 + 2 T + 13 T^{2}\)	1.13.c
\(17\)	\( 1 + 17 T^{2}\)	1.17.a
\(19\)	\( 1 + 2 T + 19 T^{2}\)	1.19.c
\(23\)	\( 1 + 23 T^{2}\)	1.23.a
\(29\)	\( 1 + 4 T + 29 T^{2}\)	1.29.e
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 222600bk do not have complex multiplication.

Modular form 222600.2.a.bk

Isogeny graph

Elliptic curves in class 222600bk

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
222600.ch1	222600bk1	\([0, 1, 0, 57367, 7374363]\)	\(5219664241664/8863392195\)	\(-35453568780000000\)	\([]\)	\(1612800\)	\(1.8606\)	\(\Gamma_0(N)\)-optimal