Elliptic curve isogeny class with Cremona label 152592a (LMFDB label 152592.bp)

• Label: 152592a
• Number of curves: $2$
• Conductor: $152592$
• CM: no
• Rank: $0$

Elliptic curves in class 152592a

LMFDB label	Cremona label	Weierstrass coefficients	Torsion structure	Modular degree	Optimality
152592.bp1	152592a1	[0, 1, 0, -906400, 331632884]	[2]	2654208	\(\Gamma_0(N)\)-optimal
152592.bp2	152592a2	[0, 1, 0, -721440, 471092724]	[2]	5308416

Rank

The elliptic curves in class 152592a have rank \(0\).

Complex multiplication

The elliptic curves in class 152592a do not have complex multiplication.

Modular form 152592.2.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.

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

Isogeny graph

The vertices are labelled with Cremona labels.