Elliptic curve isogeny class with LMFDB label 9900.bd (Cremona label 9900t)

• Label: 9900.bd
• Number of curves: $4$
• Conductor: $9900$
• CM: no
• Rank: $0$

Elliptic curves in class 9900.bd

LMFDB label	Cremona label	Weierstrass coefficients	Torsion structure	Modular degree	Optimality
9900.bd1	9900t4	[0, 0, 0, -1597575, 777212750]	[2]	124416
9900.bd2	9900t3	[0, 0, 0, -100200, 12054125]	[2]	62208
9900.bd3	9900t2	[0, 0, 0, -22575, 737750]	[2]	41472
9900.bd4	9900t1	[0, 0, 0, -10200, -388375]	[2]	20736	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curves in class 9900.bd have rank \(0\).

Complex multiplication

The elliptic curves in class 9900.bd do not have complex multiplication.

Modular form 9900.2.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 LMFDB numbering.

\(\left(\begin{array}{rrrr} 1 & 2 & 3 & 6 \\ 2 & 1 & 6 & 3 \\ 3 & 6 & 1 & 2 \\ 6 & 3 & 2 & 1 \end{array}\right)\)

Isogeny graph

The vertices are labelled with LMFDB labels.