Elliptic curve isogeny class with Cremona label 145656v (LMFDB label 145656.bm)

• Label: 145656v
• Number of curves: $1$
• Conductor: $145656$
• CM: no
• Rank: $1$

Rank

The elliptic curve 145656v1 has rank \(1\).

L-function data

Bad L-factors:

Prime	L-Factor
\(2\)	\(1\)
\(3\)	\(1\)
\(7\)	\(1 - T\)
\(17\)	\(1\)

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(5\)	\( 1 + 5 T^{2}\)	1.5.a
\(11\)	\( 1 + 4 T + 11 T^{2}\)	1.11.e
\(13\)	\( 1 - 4 T + 13 T^{2}\)	1.13.ae
\(19\)	\( 1 - 2 T + 19 T^{2}\)	1.19.ac
\(23\)	\( 1 + T + 23 T^{2}\)	1.23.b
\(29\)	\( 1 + 5 T + 29 T^{2}\)	1.29.f
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 145656v do not have complex multiplication.

Modular form 145656.2.a.v

Elliptic curves in class 145656v

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
145656.bm1	145656v1	\([0, 0, 0, -797691, 274688822]\)	\(-130098552670514/257298363\)	\(-111017730898335744\)	\([]\)	\(1741824\)	\(2.1587\)	\(\Gamma_0(N)\)-optimal