Elliptic curve isogeny class with LMFDB label 296208.bb (Cremona label 296208bb)

• Label: 296208.bb
• Number of curves: $2$
• Conductor: $296208$
• CM: no
• Rank: $1$

Elliptic curves in class 296208.bb

LMFDB label	Cremona label	Weierstrass coefficients	Torsion structure	Modular degree	Optimality
296208.bb1	296208bb2	[0, 0, 0, -3171531, -2173855750]	[2]	4423680
296208.bb2	296208bb1	[0, 0, 0, -209451, -29902246]	[2]	2211840	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curves in class 296208.bb have rank \(1\).

Complex multiplication

The elliptic curves in class 296208.bb do not have complex multiplication.

Modular form 296208.2.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 LMFDB numbering.

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

Isogeny graph

The vertices are labelled with LMFDB labels.