Elliptic curve isogeny class with Cremona label 102960cg (LMFDB label 102960.bt)

• Label: 102960cg
• Number of curves: $2$
• Conductor: $102960$
• CM: no
• Rank: $0$

Rank

The elliptic curves in class 102960cg have 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 \(\mathbb{F}_p\)
\(7\)	\( 1 - 4 T + 7 T^{2}\)	1.7.ae
\(17\)	\( 1 - 4 T + 17 T^{2}\)	1.17.ae
\(19\)	\( 1 + 6 T + 19 T^{2}\)	1.19.g
\(23\)	\( 1 + 4 T + 23 T^{2}\)	1.23.e
\(29\)	\( 1 + 2 T + 29 T^{2}\)	1.29.c
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

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

Modular form 102960.2.a.cg

Isogeny matrix

The \(i,j\) entry is the smallest degree of a cyclic isogeny between the \(i\)-th and \(j\)-th curve in the isogeny class, in the Cremona numbering.

\(\left(\begin{array}{rr} 1 & 3 \\ 3 & 1 \end{array}\right)\)

Isogeny graph

The vertices are labelled with Cremona labels.

Elliptic curves in class 102960cg

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
102960.bt2	102960cg1	\([0, 0, 0, 159717, -708358198]\)	\(4074304020054813/1962402098708480\)	\(-217025972900368220160\)	\([]\)	\(2612736\)	\(2.5813\)	\(\Gamma_0(N)\)-optimal
102960.bt1	102960cg2	\([0, 0, 0, -1437723, 19145797578]\)	\(-4076600308125723/1961812478912000\)	\(-158164398171852374016000\)	\([]\)	\(7838208\)	\(3.1306\)