Elliptic curve isogeny class with Cremona label 300a (LMFDB label 300.b)

• Label: 300a
• Number of curves: $2$
• Conductor: $300$
• CM: no
• Rank: $0$

Elliptic curves in class 300a

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
300.b2	300a1	\([0, -1, 0, -13, -23]\)	\(-40960/27\)	\(-172800\)	\([]\)	\(36\)	\(-0.29409\)	\(\Gamma_0(N)\)-optimal
300.b1	300a2	\([0, -1, 0, -1213, -15863]\)	\(-30866268160/3\)	\(-19200\)	\([]\)	\(108\)	\(0.25522\)

Rank

The elliptic curves in class 300a have rank \(0\).

Complex multiplication

The elliptic curves in class 300a do not have complex multiplication.

Modular form 300.2.a.a

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.