Elliptic curve isogeny class with LMFDB label 43890.i (Cremona label 43890j)

• Label: 43890.i
• Number of curves: $2$
• Conductor: $43890$
• CM: no
• Rank: $0$

Elliptic curves in class 43890.i

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
43890.i1	43890j2	\([1, 1, 0, -9708827, -11569261251]\)	\(101210150259076153188834361/788866217183097900000\)	\(788866217183097900000\)	\([2]\)	\(3225600\)	\(2.8383\)
43890.i2	43890j1	\([1, 1, 0, -208827, -414361251]\)	\(-1007133193922700834361/73558367190000000000\)	\(-73558367190000000000\)	\([2]\)	\(1612800\)	\(2.4918\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curves in class 43890.i have rank \(0\).

Complex multiplication

The elliptic curves in class 43890.i do not have complex multiplication.

Modular form 43890.2.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 LMFDB numbering.

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

Isogeny graph

The vertices are labelled with LMFDB labels.