Elliptic curve isogeny class with LMFDB label 9438.r (Cremona label 9438s)

• Label: 9438.r
• Number of curves: $1$
• Conductor: $9438$
• CM: no
• Rank: $0$

Rank

The elliptic curve 9438.r1 has rank \(0\).

L-function data

Bad L-factors:

Prime	L-Factor
\(2\)	\(1 - T\)
\(3\)	\(1 + T\)
\(11\)	\(1\)
\(13\)	\(1 + T\)

Good L-factors:

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

See L-function page for more information

Complex multiplication

The elliptic curves in class 9438.r do not have complex multiplication.

Modular form 9438.2.a.r

Elliptic curves in class 9438.r

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
9438.r1	9438s1	\([1, 1, 1, -25682, -1595923]\)	\(-1407450852604763/1119214746\)	\(-1489674826926\)	\([]\)	\(32256\)	\(1.2662\)	\(\Gamma_0(N)\)-optimal