Elliptic Curve Isogeny Class with Cremona label 113715t (LMFDB label 113715.bd)

• Label: 113715t
• Number of curves: 4
• Conductor: 113715
• CM: no
• Rank: 0

Elliptic curves in class 113715t

LMFDB label	Cremona label	Weierstrass coefficients	Torsion structure	Modular degree	Optimality
113715.bd3	113715t1	[1, -1, 0, -8190, 272335]	[2]	193536	\(\Gamma_0(N)\)-optimal
113715.bd2	113715t2	[1, -1, 0, -24435, -1127984]	[2, 2]	387072
113715.bd4	113715t3	[1, -1, 0, 56790, -7089899]	[2]	774144
113715.bd1	113715t4	[1, -1, 0, -365580, -84981425]	[2]	774144

Rank

The elliptic curves in class 113715t have rank \(0\).

Modular form 113715.2.a.bd

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.

\(\left(\begin{array}{rrrr} 1 & 2 & 4 & 4 \\ 2 & 1 & 2 & 2 \\ 4 & 2 & 1 & 4 \\ 4 & 2 & 4 & 1 \end{array}\right)\)

Isogeny graph

The vertices are labelled with Cremona labels.