Elliptic curve isogeny class with Cremona label 148720p (LMFDB label 148720.x)

• Label: 148720p
• Number of curves: $1$
• Conductor: $148720$
• CM: no
• Rank: $2$

Rank

The elliptic curve 148720p1 has rank \(2\).

L-function data

Bad L-factors:

Prime	L-Factor
\(2\)	\(1\)
\(5\)	\(1 - T\)
\(11\)	\(1 + T\)
\(13\)	\(1\)

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(3\)	\( 1 + 2 T + 3 T^{2}\)	1.3.c
\(7\)	\( 1 + 7 T^{2}\)	1.7.a
\(17\)	\( 1 + 2 T + 17 T^{2}\)	1.17.c
\(19\)	\( 1 - 4 T + 19 T^{2}\)	1.19.ae
\(23\)	\( 1 - 4 T + 23 T^{2}\)	1.23.ae
\(29\)	\( 1 + 6 T + 29 T^{2}\)	1.29.g
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 148720p do not have complex multiplication.

Modular form 148720.2.a.p

Elliptic curves in class 148720p

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
148720.x1	148720p1	\([0, 0, 0, 116272, 293554352]\)	\(8792838144/1888046875\)	\(-37327837792960000000\)	\([]\)	\(2257920\)	\(2.4347\)	\(\Gamma_0(N)\)-optimal