Elliptic curve isogeny class with LMFDB label 7650.cm (Cremona label 7650ck)

• Label: 7650.cm
• Number of curves: $1$
• Conductor: $7650$
• CM: no
• Rank: $0$

Rank

The elliptic curve 7650.cm1 has rank \(0\).

L-function data

Bad L-factors:

Prime	L-Factor
\(2\)	\(1 - T\)
\(3\)	\(1\)
\(5\)	\(1\)
\(17\)	\(1 + T\)

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(7\)	\( 1 - 4 T + 7 T^{2}\)	1.7.ae
\(11\)	\( 1 - 2 T + 11 T^{2}\)	1.11.ac
\(13\)	\( 1 - 6 T + 13 T^{2}\)	1.13.ag
\(19\)	\( 1 - 4 T + 19 T^{2}\)	1.19.ae
\(23\)	\( 1 - 5 T + 23 T^{2}\)	1.23.af
\(29\)	\( 1 + 29 T^{2}\)	1.29.a
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 7650.cm do not have complex multiplication.

Modular form 7650.2.a.cm

Elliptic curves in class 7650.cm

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
7650.cm1	7650ck1	\([1, -1, 1, -680, 25697]\)	\(-121945/918\)	\(-261414843750\)	\([]\)	\(14400\)	\(0.87379\)	\(\Gamma_0(N)\)-optimal