Elliptic curve isogeny class with Cremona label 42432i (LMFDB label 42432.a)

• Label: 42432i
• Number of curves: $2$
• Conductor: $42432$
• CM: no
• Rank: $2$

Elliptic curves in class 42432i

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
42432.a1	42432i1	\([0, -1, 0, -1385, -4119]\)	\(71783828416/39328497\)	\(161089523712\)	\([2]\)	\(73728\)	\(0.84115\)	\(\Gamma_0(N)\)-optimal
42432.a2	42432i2	\([0, -1, 0, 5375, -37919]\)	\(523996494328/320445801\)	\(-10500368007168\)	\([2]\)	\(147456\)	\(1.1877\)

Rank

The elliptic curves in class 42432i have rank \(2\).

Complex multiplication

The elliptic curves in class 42432i do not have complex multiplication.

Modular form 42432.2.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 Cremona numbering.

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

Isogeny graph

The vertices are labelled with Cremona labels.