Elliptic curve isogeny class with Cremona label 308112ck (LMFDB label 308112.ck)

• Label: 308112ck
• Number of curves: $2$
• Conductor: $308112$
• CM: no
• Rank: $0$

Elliptic curves in class 308112ck

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
308112.ck2	308112ck1	\([0, 1, 0, -30984, 2087028]\)	\(6826561273/7074\)	\(3408892010496\)	\([]\)	\(853632\)	\(1.3225\)	\(\Gamma_0(N)\)-optimal
308112.ck1	308112ck2	\([0, 1, 0, -113304, -12500076]\)	\(333822098953/53954184\)	\(25999998129831936\)	\([]\)	\(2560896\)	\(1.8718\)

Rank

The elliptic curves in class 308112ck have rank \(0\).

Complex multiplication

The elliptic curves in class 308112ck do not have complex multiplication.

Modular form 308112.2.a.ck

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.

\(\left(\begin{array}{rr} 1 & 3 \\ 3 & 1 \end{array}\right)\)

Isogeny graph

The vertices are labelled with Cremona labels.