Elliptic curve isogeny class with LMFDB label 90601.a (Cremona label 90601c)

• Label: 90601.a
• Number of curves: $4$
• Conductor: $90601$
• CM: \(\Q(\sqrt{-7}) \)
• Rank: $1$

Elliptic curves in class 90601.a

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality	CM discriminant
90601.a1	90601c4	\([1, -1, 1, -3369225, -2379396022]\)	\(16581375\)	\(255089800183667743\)	\([2]\)	\(1053696\)	\(2.4010\)		\(-28\)
90601.a2	90601c3	\([1, -1, 1, -198190, -41709020]\)	\(-3375\)	\(-255089800183667743\)	\([2]\)	\(526848\)	\(2.0544\)		\(-7\)
90601.a3	90601c2	\([1, -1, 1, -68760, 6956660]\)	\(16581375\)	\(2168227525807\)	\([2]\)	\(150528\)	\(1.4280\)		\(-28\)
90601.a4	90601c1	\([1, -1, 1, -4045, 122756]\)	\(-3375\)	\(-2168227525807\)	\([2]\)	\(75264\)	\(1.0815\)	\(\Gamma_0(N)\)-optimal	\(-7\)

Rank

The elliptic curves in class 90601.a have rank \(1\).

Complex multiplication

Each elliptic curve in class 90601.a has complex multiplication by an order in the imaginary quadratic field \(\Q(\sqrt{-7}) \).

Modular form 90601.2.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.

\(\left(\begin{array}{rrrr} 1 & 2 & 7 & 14 \\ 2 & 1 & 14 & 7 \\ 7 & 14 & 1 & 2 \\ 14 & 7 & 2 & 1 \end{array}\right)\)

Isogeny graph

The vertices are labelled with LMFDB labels.