Elliptic curve isogeny class with Cremona label 84700bb (LMFDB label 84700.g)

• Label: 84700bb
• Number of curves: $2$
• Conductor: $84700$
• CM: no
• Rank: $0$

Elliptic curves in class 84700bb

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
84700.g2	84700bb1	\([0, 1, 0, 5042, 402213]\)	\(1280/7\)	\(-77505793750000\)	\([]\)	\(243000\)	\(1.3472\)	\(\Gamma_0(N)\)-optimal
84700.g1	84700bb2	\([0, 1, 0, -297458, 62414713]\)	\(-262885120/343\)	\(-3797783893750000\)	\([]\)	\(729000\)	\(1.8965\)

Rank

The elliptic curves in class 84700bb have rank \(0\).

Complex multiplication

The elliptic curves in class 84700bb do not have complex multiplication.

Modular form 84700.2.a.bb

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.