Elliptic curve isogeny class with LMFDB label 980.d (Cremona label 980e)

• Label: 980.d
• Number of curves: $1$
• Conductor: $980$
• CM: no
• Rank: $0$

Rank

The elliptic curve 980.d1 has rank \(0\).

L-function data

Bad L-factors:

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

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(3\)	\( 1 + T + 3 T^{2}\)	1.3.b
\(11\)	\( 1 + T + 11 T^{2}\)	1.11.b
\(13\)	\( 1 - 5 T + 13 T^{2}\)	1.13.af
\(17\)	\( 1 + T + 17 T^{2}\)	1.17.b
\(19\)	\( 1 - 6 T + 19 T^{2}\)	1.19.ag
\(23\)	\( 1 + 4 T + 23 T^{2}\)	1.23.e
\(29\)	\( 1 - 3 T + 29 T^{2}\)	1.29.ad
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 980.d do not have complex multiplication.

Modular form 980.2.a.d

Elliptic curves in class 980.d

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
980.d1	980e1	\([0, -1, 0, 915, 2185]\)	\(8192/5\)	\(-51652616960\)	\([]\)	\(672\)	\(0.74484\)	\(\Gamma_0(N)\)-optimal