Elliptic curve isogeny class with LMFDB label 3240.b (Cremona label 3240b)

• Label: 3240.b
• Number of curves: $1$
• Conductor: $3240$
• CM: no
• Rank: $1$

Rank

The elliptic curve 3240.b1 has rank \(1\).

L-function data

Bad L-factors:

Prime	L-Factor
\(2\)	\(1\)
\(3\)	\(1\)
\(5\)	\(1 + T\)

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(7\)	\( 1 + 7 T^{2}\)	1.7.a
\(11\)	\( 1 + 5 T + 11 T^{2}\)	1.11.f
\(13\)	\( 1 + 13 T^{2}\)	1.13.a
\(17\)	\( 1 - 3 T + 17 T^{2}\)	1.17.ad
\(19\)	\( 1 - 5 T + 19 T^{2}\)	1.19.af
\(23\)	\( 1 - 6 T + 23 T^{2}\)	1.23.ag
\(29\)	\( 1 + 10 T + 29 T^{2}\)	1.29.k
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 3240.b do not have complex multiplication.

Modular form 3240.2.a.b

Elliptic curves in class 3240.b

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
3240.b1	3240b1	\([0, 0, 0, -3, -98]\)	\(-18/25\)	\(-4147200\)	\([]\)	\(480\)	\(-0.051180\)	\(\Gamma_0(N)\)-optimal