Elliptic curve isogeny class with Cremona label 152460s (LMFDB label 152460.r)

• Label: 152460s
• Number of curves: $2$
• Conductor: $152460$
• CM: no
• Rank: $1$

Elliptic curves in class 152460s

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
152460.r1	152460s1	\([0, 0, 0, -5808, 62557]\)	\(1048576/525\)	\(10848330939600\)	\([2]\)	\(268800\)	\(1.1940\)	\(\Gamma_0(N)\)-optimal
152460.r2	152460s2	\([0, 0, 0, 21417, 481822]\)	\(3286064/2205\)	\(-729007839141120\)	\([2]\)	\(537600\)	\(1.5406\)

Rank

The elliptic curves in class 152460s have rank \(1\).

Complex multiplication

The elliptic curves in class 152460s do not have complex multiplication.

Modular form 152460.2.a.s

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.