Elliptic curve isogeny class with LMFDB label 282240.dh (Cremona label 282240dh)

• Label: 282240.dh
• Number of curves: $1$
• Conductor: $282240$
• CM: no
• Rank: $0$

Rank

The elliptic curve 282240.dh1 has rank \(0\).

L-function data

Bad L-factors:

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

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(11\)	\( 1 - T + 11 T^{2}\)	1.11.ab
\(13\)	\( 1 + 5 T + 13 T^{2}\)	1.13.f
\(17\)	\( 1 + 8 T + 17 T^{2}\)	1.17.i
\(19\)	\( 1 - 5 T + 19 T^{2}\)	1.19.af
\(23\)	\( 1 - T + 23 T^{2}\)	1.23.ab
\(29\)	\( 1 + 6 T + 29 T^{2}\)	1.29.g
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 282240.dh do not have complex multiplication.

Modular form 282240.2.a.dh

Elliptic curves in class 282240.dh

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
282240.dh1	282240dh1	\([0, 0, 0, -102753, -12678498]\)	\(-26240594230368/1953125\)	\(-8930250000000\)	\([]\)	\(1161216\)	\(1.5348\)	\(\Gamma_0(N)\)-optimal