Elliptic curve isogeny class with Cremona label 2940l (LMFDB label 2940.j)

• Label: 2940l
• Number of curves: $2$
• Conductor: $2940$
• CM: no
• Rank: $1$

Elliptic curves in class 2940l

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
2940.j2	2940l1	\([0, 1, 0, -625, 5648]\)	\(4927700992/151875\)	\(833490000\)	\([2]\)	\(1920\)	\(0.48738\)	\(\Gamma_0(N)\)-optimal
2940.j1	2940l2	\([0, 1, 0, -1500, -14652]\)	\(4253563312/1476225\)	\(129624364800\)	\([2]\)	\(3840\)	\(0.83395\)

Rank

The elliptic curves in class 2940l have rank \(1\).

Complex multiplication

The elliptic curves in class 2940l do not have complex multiplication.

Modular form 2940.2.a.l

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.

\(\left(\begin{array}{rr} 1 & 2 \\ 2 & 1 \end{array}\right)\)

Isogeny graph

The vertices are labelled with Cremona labels.