Elliptic curve isogeny class with Cremona label 39326l (LMFDB label 39326.m)

• Label: 39326l
• Number of curves: $6$
• Conductor: $39326$
• CM: no
• Rank: $1$

Elliptic curves in class 39326l

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
39326.m5	39326l1	\([1, 1, 1, -1463, 42985]\)	\(-15625/28\)	\(-620602111612\)	\([2]\)	\(49920\)	\(0.95306\)	\(\Gamma_0(N)\)-optimal
39326.m4	39326l2	\([1, 1, 1, -29553, 1941869]\)	\(128787625/98\)	\(2172107390642\)	\([2]\)	\(99840\)	\(1.2996\)
39326.m6	39326l3	\([1, 1, 1, 12582, -906457]\)	\(9938375/21952\)	\(-486552055503808\)	\([2]\)	\(149760\)	\(1.5024\)
39326.m3	39326l4	\([1, 1, 1, -99778, -9985145]\)	\(4956477625/941192\)	\(20860919379725768\)	\([2]\)	\(299520\)	\(1.8489\)
39326.m2	39326l5	\([1, 1, 1, -478993, -128165393]\)	\(-548347731625/1835008\)	\(-40671779986604032\)	\([2]\)	\(449280\)	\(2.0517\)
39326.m1	39326l6	\([1, 1, 1, -7670033, -8179253777]\)	\(2251439055699625/25088\)	\(556059492004352\)	\([2]\)	\(898560\)	\(2.3982\)

Rank

The elliptic curves in class 39326l have rank \(1\).

Complex multiplication

The elliptic curves in class 39326l do not have complex multiplication.

Modular form 39326.2.a.l

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.

\(\left(\begin{array}{rrrrrr} 1 & 2 & 3 & 6 & 9 & 18 \\ 2 & 1 & 6 & 3 & 18 & 9 \\ 3 & 6 & 1 & 2 & 3 & 6 \\ 6 & 3 & 2 & 1 & 6 & 3 \\ 9 & 18 & 3 & 6 & 1 & 2 \\ 18 & 9 & 6 & 3 & 2 & 1 \end{array}\right)\)

Isogeny graph

The vertices are labelled with Cremona labels.