Elliptic curve isogeny class with Cremona label 2600l (LMFDB label 2600.i)

• Label: 2600l
• Number of curves: $2$
• Conductor: $2600$
• CM: no
• Rank: $0$

Elliptic curves in class 2600l

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
2600.i2	2600l1	\([0, 0, 0, -35, -50]\)	\(37044/13\)	\(1664000\)	\([2]\)	\(320\)	\(-0.10492\)	\(\Gamma_0(N)\)-optimal
2600.i1	2600l2	\([0, 0, 0, -235, 1350]\)	\(5606442/169\)	\(43264000\)	\([2]\)	\(640\)	\(0.24165\)

Rank

The elliptic curves in class 2600l have rank \(0\).

Complex multiplication

The elliptic curves in class 2600l do not have complex multiplication.

Modular form 2600.2.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.