Elliptic curve isogeny class with Cremona label 24300i (LMFDB label 24300.h)

• Label: 24300i
• Number of curves: $1$
• Conductor: $24300$
• CM: no
• Rank: $1$

Rank

The elliptic curve 24300i1 has rank \(1\).

L-function data

Bad L-factors:

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

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(7\)	\( 1 + T + 7 T^{2}\)	1.7.b
\(11\)	\( 1 + 11 T^{2}\)	1.11.a
\(13\)	\( 1 - 5 T + 13 T^{2}\)	1.13.af
\(17\)	\( 1 + 17 T^{2}\)	1.17.a
\(19\)	\( 1 + T + 19 T^{2}\)	1.19.b
\(23\)	\( 1 + 23 T^{2}\)	1.23.a
\(29\)	\( 1 + 29 T^{2}\)	1.29.a
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 24300i do not have complex multiplication.

Modular form 24300.2.a.i

Isogeny graph

Elliptic curves in class 24300i

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
24300.h1	24300i1	\([0, 0, 0, -3375, -56250]\)	\(3888\)	\(1093500000000\)	\([]\)	\(38880\)	\(1.0194\)	\(\Gamma_0(N)\)-optimal