Elliptic curve isogeny class with Cremona label 22898a (LMFDB label 22898.d)

• Label: 22898a
• Number of curves: $1$
• Conductor: $22898$
• CM: no
• Rank: $1$

Rank

The elliptic curve 22898a1 has rank \(1\).

L-function data

Bad L-factors:

Prime	L-Factor
\(2\)	\(1 + T\)
\(107\)	\(1\)

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(3\)	\( 1 + 2 T + 3 T^{2}\)	1.3.c
\(5\)	\( 1 + 3 T + 5 T^{2}\)	1.5.d
\(7\)	\( 1 + 2 T + 7 T^{2}\)	1.7.c
\(11\)	\( 1 + 11 T^{2}\)	1.11.a
\(13\)	\( 1 + T + 13 T^{2}\)	1.13.b
\(17\)	\( 1 + 3 T + 17 T^{2}\)	1.17.d
\(19\)	\( 1 - 2 T + 19 T^{2}\)	1.19.ac
\(23\)	\( 1 + 6 T + 23 T^{2}\)	1.23.g
\(29\)	\( 1 - 3 T + 29 T^{2}\)	1.29.ad
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 22898a do not have complex multiplication.

Modular form 22898.2.a.a

Elliptic curves in class 22898a

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
22898.d1	22898a1	\([1, 1, 0, -24, -1216]\)	\(-1331/512\)	\(-627222016\)	\([]\)	\(11664\)	\(0.36721\)	\(\Gamma_0(N)\)-optimal