Elliptic curve isogeny class with LMFDB label 36100.a (Cremona label 36100j)

• Label: 36100.a
• Number of curves: $4$
• Conductor: $36100$
• CM: no
• Rank: $1$

Elliptic curves in class 36100.a

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
36100.a1	36100j3	\([0, 1, 0, -373033, 87550188]\)	\(488095744/125\)	\(1470183781250000\)	\([2]\)	\(248832\)	\(1.8963\)
36100.a2	36100j4	\([0, 1, 0, -327908, 109571188]\)	\(-20720464/15625\)	\(-2940367562500000000\)	\([2]\)	\(497664\)	\(2.2429\)
36100.a3	36100j1	\([0, 1, 0, -12033, -353312]\)	\(16384/5\)	\(58807351250000\)	\([2]\)	\(82944\)	\(1.3470\)	\(\Gamma_0(N)\)-optimal
36100.a4	36100j2	\([0, 1, 0, 33092, -2338812]\)	\(21296/25\)	\(-4704588100000000\)	\([2]\)	\(165888\)	\(1.6936\)

Rank

The elliptic curves in class 36100.a have rank \(1\).

Complex multiplication

The elliptic curves in class 36100.a do not have complex multiplication.

Modular form 36100.2.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 LMFDB numbering.

\(\left(\begin{array}{rrrr} 1 & 2 & 3 & 6 \\ 2 & 1 & 6 & 3 \\ 3 & 6 & 1 & 2 \\ 6 & 3 & 2 & 1 \end{array}\right)\)

Isogeny graph

The vertices are labelled with LMFDB labels.