Elliptic curve isogeny class with LMFDB label 206310.i (Cremona label 206310cr)

• Label: 206310.i
• Number of curves: $2$
• Conductor: $206310$
• CM: no
• Rank: $1$

Elliptic curves in class 206310.i

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
206310.i1	206310cr2	\([1, 1, 0, -20087463, -34653632307]\)	\(497678055202223/121875000\)	\(219515480615803125000\)	\([2]\)	\(18653184\)	\(2.8914\)
206310.i2	206310cr1	\([1, 1, 0, -1106943, -674705403]\)	\(-83281698863/60840000\)	\(-109582127923408920000\)	\([2]\)	\(9326592\)	\(2.5448\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curves in class 206310.i have rank \(1\).

Complex multiplication

The elliptic curves in class 206310.i do not have complex multiplication.

Modular form 206310.2.a.i

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.