Elliptic curve isogeny class with Cremona label 33462z (LMFDB label 33462.ba)

• Label: 33462z
• Number of curves: $1$
• Conductor: $33462$
• CM: no
• Rank: $1$

Rank

The elliptic curve 33462z1 has rank \(1\).

L-function data

Bad L-factors:

Prime	L-Factor
\(2\)	\(1 + T\)
\(3\)	\(1\)
\(11\)	\(1 - T\)
\(13\)	\(1\)

Good L-factors:

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

See L-function page for more information

Complex multiplication

The elliptic curves in class 33462z do not have complex multiplication.

Modular form 33462.2.a.z

Elliptic curves in class 33462z

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
33462.ba1	33462z1	\([1, -1, 0, -5004, -175824]\)	\(-8653002877/3449952\)	\(-5525487972576\)	\([]\)	\(46080\)	\(1.1539\)	\(\Gamma_0(N)\)-optimal