Elliptic curve isogeny class with LMFDB label 102960.df (Cremona label 102960dz)

• Label: 102960.df
• Number of curves: $1$
• Conductor: $102960$
• CM: no
• Rank: $0$

Rank

The elliptic curve 102960.df1 has rank \(0\).

L-function data

Bad L-factors:

Prime	L-Factor
\(2\)	\(1\)
\(3\)	\(1\)
\(5\)	\(1 - T\)
\(11\)	\(1 + T\)
\(13\)	\(1 + T\)

Good L-factors:

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

See L-function page for more information

Complex multiplication

The elliptic curves in class 102960.df do not have complex multiplication.

Modular form 102960.2.a.df

Elliptic curves in class 102960.df

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
102960.df1	102960dz1	\([0, 0, 0, 1436613, -552035734]\)	\(109813469243970311/107638502400000\)	\(-321406845950361600000\)	\([]\)	\(2995200\)	\(2.6219\)	\(\Gamma_0(N)\)-optimal