Elliptic curve isogeny class with Cremona label 79a (LMFDB label 79.a)

• Label: 79a
• Number of curves: $1$
• Conductor: $79$
• CM: no
• Rank: $1$

Rank

The elliptic curve 79a1 has rank \(1\).

L-function data

Bad L-factors:

Prime	L-Factor
\(79\)	\(1 + T\)

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(2\)	\( 1 + T + 2 T^{2}\)	1.2.b
\(3\)	\( 1 + T + 3 T^{2}\)	1.3.b
\(5\)	\( 1 + 3 T + 5 T^{2}\)	1.5.d
\(7\)	\( 1 + T + 7 T^{2}\)	1.7.b
\(11\)	\( 1 + 2 T + 11 T^{2}\)	1.11.c
\(13\)	\( 1 - 3 T + 13 T^{2}\)	1.13.ad
\(17\)	\( 1 + 6 T + 17 T^{2}\)	1.17.g
\(19\)	\( 1 - 4 T + 19 T^{2}\)	1.19.ae
\(23\)	\( 1 - 2 T + 23 T^{2}\)	1.23.ac
\(29\)	\( 1 + 6 T + 29 T^{2}\)	1.29.g
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 79a do not have complex multiplication.

Modular form 79.2.a.a

Elliptic curves in class 79a

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
79.a1	79a1	\([1, 1, 1, -2, 0]\)	\(912673/79\)	\(79\)	\([]\)	\(2\)	\(-0.89504\)	\(\Gamma_0(N)\)-optimal