Elliptic curve isogeny class with Cremona label 3300p (LMFDB label 3300.r)

• Label: 3300p
• Number of curves: $1$
• Conductor: $3300$
• CM: no
• Rank: $0$

Rank

The elliptic curve 3300p1 has rank \(0\).

L-function data

Bad L-factors:

Prime	L-Factor
\(2\)	\(1\)
\(3\)	\(1 - T\)
\(5\)	\(1\)
\(11\)	\(1 - T\)

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(7\)	\( 1 + 7 T^{2}\)	1.7.a
\(13\)	\( 1 - 4 T + 13 T^{2}\)	1.13.ae
\(17\)	\( 1 - 2 T + 17 T^{2}\)	1.17.ac
\(19\)	\( 1 - 2 T + 19 T^{2}\)	1.19.ac
\(23\)	\( 1 - 8 T + 23 T^{2}\)	1.23.ai
\(29\)	\( 1 + 4 T + 29 T^{2}\)	1.29.e
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 3300p do not have complex multiplication.

Modular form 3300.2.a.p

Elliptic curves in class 3300p

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
3300.r1	3300p1	\([0, 1, 0, -308, -2412]\)	\(-20261200/2673\)	\(-427680000\)	\([]\)	\(1440\)	\(0.38904\)	\(\Gamma_0(N)\)-optimal