Elliptic curve isogeny class with LMFDB label 248430.ck (Cremona label 248430ck)

• Label: 248430.ck
• Number of curves: $1$
• Conductor: $248430$
• CM: no
• Rank: $1$

Rank

The elliptic curve 248430.ck1 has rank \(1\).

L-function data

Bad L-factors:

Prime	L-Factor
\(2\)	\(1 + T\)
\(3\)	\(1 + T\)
\(5\)	\(1 - T\)
\(7\)	\(1\)
\(13\)	\(1\)

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(11\)	\( 1 - 3 T + 11 T^{2}\)	1.11.ad
\(17\)	\( 1 + T + 17 T^{2}\)	1.17.b
\(19\)	\( 1 + 7 T + 19 T^{2}\)	1.19.h
\(23\)	\( 1 - 2 T + 23 T^{2}\)	1.23.ac
\(29\)	\( 1 + 7 T + 29 T^{2}\)	1.29.h
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 248430.ck do not have complex multiplication.

Modular form 248430.2.a.ck

Elliptic curves in class 248430.ck

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
248430.ck1	248430ck1	\([1, 1, 0, -247146617, -1422477346779]\)	\(17396130889999849/960180480000\)	\(92148428099332652785920000\)	\([]\)	\(110702592\)	\(3.7375\)	\(\Gamma_0(N)\)-optimal