Elliptic curve isogeny class with Cremona label 121680bl (LMFDB label 121680.dt)

• Label: 121680bl
• Number of curves: $2$
• Conductor: $121680$
• CM: no
• Rank: $1$

Elliptic curves in class 121680bl

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
121680.dt2	121680bl1	\([0, 0, 0, -507, 2851706]\)	\(-4/975\)	\(-3513113770982400\)	\([2]\)	\(516096\)	\(1.6618\)	\(\Gamma_0(N)\)-optimal
121680.dt1	121680bl2	\([0, 0, 0, -304707, 63752546]\)	\(434163602/7605\)	\(54804574827325440\)	\([2]\)	\(1032192\)	\(2.0084\)

Rank

The elliptic curves in class 121680bl have rank \(1\).

Complex multiplication

The elliptic curves in class 121680bl do not have complex multiplication.

Modular form 121680.2.a.bl

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.