Elliptic curve isogeny class with LMFDB label 98736.g (Cremona label 98736cr)

• Label: 98736.g
• Number of curves: $2$
• Conductor: $98736$
• CM: no
• Rank: $2$

Elliptic curves in class 98736.g

LMFDB label	Cremona label	Weierstrass coefficients	Torsion structure	Modular degree	Optimality
98736.g1	98736cr1	[0, -1, 0, -1750184, 884736624]	[2]	3225600	\(\Gamma_0(N)\)-optimal
98736.g2	98736cr2	[0, -1, 0, -511144, 2111881840]	[2]	6451200

Rank

The elliptic curves in class 98736.g have rank \(2\).

Complex multiplication

The elliptic curves in class 98736.g do not have complex multiplication.

Modular form 98736.2.a.g

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 LMFDB numbering.

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

Isogeny graph

The vertices are labelled with LMFDB labels.