Elliptic curve isogeny class with Cremona label 33600fo (LMFDB label 33600.q)

• Label: 33600fo
• Number of curves: $1$
• Conductor: $33600$
• CM: no
• Rank: $1$

Rank

The elliptic curve 33600fo1 has rank \(1\).

L-function data

Bad L-factors:

Prime	L-Factor
\(2\)	\(1\)
\(3\)	\(1 - T\)
\(5\)	\(1\)
\(7\)	\(1 - T\)

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(11\)	\( 1 + 4 T + 11 T^{2}\)	1.11.e
\(13\)	\( 1 - 2 T + 13 T^{2}\)	1.13.ac
\(17\)	\( 1 - 6 T + 17 T^{2}\)	1.17.ag
\(19\)	\( 1 - 6 T + 19 T^{2}\)	1.19.ag
\(23\)	\( 1 - 2 T + 23 T^{2}\)	1.23.ac
\(29\)	\( 1 - 6 T + 29 T^{2}\)	1.29.ag
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 33600fo do not have complex multiplication.

Modular form 33600.2.a.fo

Elliptic curves in class 33600fo

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
33600.q1	33600fo1	\([0, -1, 0, -2833, -61463]\)	\(-6288640/567\)	\(-226800000000\)	\([]\)	\(30720\)	\(0.92214\)	\(\Gamma_0(N)\)-optimal