Elliptic curve isogeny class with LMFDB label 7200.r (Cremona label 7200bj)

• Label: 7200.r
• Number of curves: $1$
• Conductor: $7200$
• CM: no
• Rank: $1$

Rank

The elliptic curve 7200.r1 has rank \(1\).

L-function data

Bad L-factors:

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

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(7\)	\( 1 + T + 7 T^{2}\)	1.7.b
\(11\)	\( 1 + 11 T^{2}\)	1.11.a
\(13\)	\( 1 + T + 13 T^{2}\)	1.13.b
\(17\)	\( 1 + 17 T^{2}\)	1.17.a
\(19\)	\( 1 - 3 T + 19 T^{2}\)	1.19.ad
\(23\)	\( 1 - 4 T + 23 T^{2}\)	1.23.ae
\(29\)	\( 1 + 4 T + 29 T^{2}\)	1.29.e
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 7200.r do not have complex multiplication.

Modular form 7200.2.a.r

Elliptic curves in class 7200.r

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
7200.r1	7200bj1	\([0, 0, 0, -120, -880]\)	\(-2560/3\)	\(-223948800\)	\([]\)	\(1536\)	\(0.29628\)	\(\Gamma_0(N)\)-optimal