Elliptic curve isogeny class with LMFDB label 988.d (Cremona label 988a)

• Label: 988.d
• Number of curves: $1$
• Conductor: $988$
• CM: no
• Rank: $0$

Rank

The elliptic curve 988.d1 has rank \(0\).

L-function data

Bad L-factors:

Prime	L-Factor
\(2\)	\(1\)
\(13\)	\(1 + T\)
\(19\)	\(1 + T\)

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(3\)	\( 1 - 2 T + 3 T^{2}\)	1.3.ac
\(5\)	\( 1 - 4 T + 5 T^{2}\)	1.5.ae
\(7\)	\( 1 - 2 T + 7 T^{2}\)	1.7.ac
\(11\)	\( 1 + 11 T^{2}\)	1.11.a
\(17\)	\( 1 + 3 T + 17 T^{2}\)	1.17.d
\(23\)	\( 1 - 3 T + 23 T^{2}\)	1.23.ad
\(29\)	\( 1 + 2 T + 29 T^{2}\)	1.29.c
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 988.d do not have complex multiplication.

Modular form 988.2.a.d

Elliptic curves in class 988.d

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
988.d1	988a1	\([0, -1, 0, 114, -247]\)	\(10150866176/7054567\)	\(-112873072\)	\([]\)	\(420\)	\(0.23370\)	\(\Gamma_0(N)\)-optimal