Elliptic curve isogeny class with Cremona label 253872l (LMFDB label 253872.l)

• Label: 253872l
• Number of curves: $1$
• Conductor: $253872$
• CM: no
• Rank: $1$

Rank

The elliptic curve 253872l1 has rank \(1\).

L-function data

Bad L-factors:

Prime	L-Factor
\(2\)	\(1\)
\(3\)	\(1\)
\(41\)	\(1 - T\)
\(43\)	\(1 - T\)

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(5\)	\( 1 + T + 5 T^{2}\)	1.5.b
\(7\)	\( 1 + 7 T^{2}\)	1.7.a
\(11\)	\( 1 - T + 11 T^{2}\)	1.11.ab
\(13\)	\( 1 + 3 T + 13 T^{2}\)	1.13.d
\(17\)	\( 1 + 17 T^{2}\)	1.17.a
\(19\)	\( 1 + 8 T + 19 T^{2}\)	1.19.i
\(23\)	\( 1 + 9 T + 23 T^{2}\)	1.23.j
\(29\)	\( 1 + 2 T + 29 T^{2}\)	1.29.c
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 253872l do not have complex multiplication.

Modular form 253872.2.a.l

Isogeny graph

Elliptic curves in class 253872l

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
253872.l1	253872l1	\([0, 0, 0, 318597, -28060886]\)	\(1197736492998599/807054296166\)	\(-2409851215482937344\)	\([]\)	\(2764800\)	\(2.2159\)	\(\Gamma_0(N)\)-optimal