Elliptic curve isogeny class with LMFDB label 24336.v (Cremona label 24336bn)

• Label: 24336.v
• Number of curves: $1$
• Conductor: $24336$
• CM: no
• Rank: $1$

Rank

The elliptic curve 24336.v1 has rank \(1\).

L-function data

Bad L-factors:

Prime	L-Factor
\(2\)	\(1\)
\(3\)	\(1\)
\(13\)	\(1\)

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(5\)	\( 1 + T + 5 T^{2}\)	1.5.b
\(7\)	\( 1 + 2 T + 7 T^{2}\)	1.7.c
\(11\)	\( 1 + 2 T + 11 T^{2}\)	1.11.c
\(17\)	\( 1 + 5 T + 17 T^{2}\)	1.17.f
\(19\)	\( 1 + 2 T + 19 T^{2}\)	1.19.c
\(23\)	\( 1 - 6 T + 23 T^{2}\)	1.23.ag
\(29\)	\( 1 - 9 T + 29 T^{2}\)	1.29.aj
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 24336.v do not have complex multiplication.

Modular form 24336.2.a.v

Isogeny graph

Elliptic curves in class 24336.v

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
24336.v1	24336bn1	\([0, 0, 0, -85683, -370550414]\)	\(-169/144\)	\(-59276628133235195904\)	\([]\)	\(479232\)	\(2.4731\)	\(\Gamma_0(N)\)-optimal