Elliptic curve isogeny class with Cremona label 91200m (LMFDB label 91200.j)

• Label: 91200m
• Number of curves: $4$
• Conductor: $91200$
• CM: no
• Rank: $1$

Elliptic curves in class 91200m

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
91200.j4	91200m1	\([0, -1, 0, -3040033, 2133291937]\)	\(-758575480593601/40535043840\)	\(-166031539568640000000\)	\([2]\)	\(4423680\)	\(2.6388\)	\(\Gamma_0(N)\)-optimal
91200.j3	91200m2	\([0, -1, 0, -49248033, 133040555937]\)	\(3225005357698077121/8526675600\)	\(34925263257600000000\)	\([2, 2]\)	\(8847360\)	\(2.9854\)
91200.j2	91200m3	\([0, -1, 0, -49856033, 129587723937]\)	\(3345930611358906241/165622259047500\)	\(678388773058560000000000\)	\([2]\)	\(17694720\)	\(3.3319\)
91200.j1	91200m4	\([0, -1, 0, -787968033, 8513818955937]\)	\(13209596798923694545921/92340\)	\(378224640000000\)	\([2]\)	\(17694720\)	\(3.3319\)

Rank

The elliptic curves in class 91200m have rank \(1\).

Complex multiplication

The elliptic curves in class 91200m do not have complex multiplication.

Modular form 91200.2.a.m

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.

\(\left(\begin{array}{rrrr} 1 & 2 & 4 & 4 \\ 2 & 1 & 2 & 2 \\ 4 & 2 & 1 & 4 \\ 4 & 2 & 4 & 1 \end{array}\right)\)

Isogeny graph

The vertices are labelled with Cremona labels.