Elliptic curve isogeny class with Cremona label 80344d (LMFDB label 80344.a)

• Label: 80344d
• Number of curves: $1$
• Conductor: $80344$
• CM: no
• Rank: $1$

Rank

The elliptic curve 80344d1 has rank \(1\).

L-function data

Bad L-factors:

Prime	L-Factor
\(2\)	\(1\)
\(11\)	\(1\)
\(83\)	\(1 + T\)

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(3\)	\( 1 + 3 T^{2}\)	1.3.a
\(5\)	\( 1 - 2 T + 5 T^{2}\)	1.5.ac
\(7\)	\( 1 - 4 T + 7 T^{2}\)	1.7.ae
\(13\)	\( 1 - 2 T + 13 T^{2}\)	1.13.ac
\(17\)	\( 1 + 4 T + 17 T^{2}\)	1.17.e
\(19\)	\( 1 - 4 T + 19 T^{2}\)	1.19.ae
\(23\)	\( 1 + 4 T + 23 T^{2}\)	1.23.e
\(29\)	\( 1 + 29 T^{2}\)	1.29.a
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 80344d do not have complex multiplication.

Modular form 80344.2.a.d

Elliptic curves in class 80344d

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
80344.a1	80344d1	\([0, 0, 0, -847, -13310]\)	\(-148176/83\)	\(-37642128128\)	\([]\)	\(216000\)	\(0.73256\)	\(\Gamma_0(N)\)-optimal