Elliptic curve isogeny class with LMFDB label 235200.bbi (Cremona label 235200bbi)

• Label: 235200.bbi
• Number of curves: $4$
• Conductor: $235200$
• CM: no
• Rank: $1$

Elliptic curves in class 235200.bbi

LMFDB label	Cremona label	Weierstrass coefficients	Torsion structure	Modular degree	Optimality
235200.bbi1	235200bbi4	[0, 1, 0, -29284033, -61004739937]	[2]	14155776
235200.bbi2	235200bbi2	[0, 1, 0, -1844033, -938579937]	[2, 2]	7077888
235200.bbi3	235200bbi1	[0, 1, 0, -276033, 35148063]	[2]	3538944	\(\Gamma_0(N)\)-optimal
235200.bbi4	235200bbi3	[0, 1, 0, 507967, -3165923937]	[2]	14155776

Rank

The elliptic curves in class 235200.bbi have rank \(1\).

Complex multiplication

The elliptic curves in class 235200.bbi do not have complex multiplication.

Modular form 235200.2.a.bbi

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.

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

Isogeny graph

The vertices are labelled with LMFDB labels.