Elliptic curve isogeny class with Cremona label 3800b (LMFDB label 3800.c)

• Label: 3800b
• Number of curves: $2$
• Conductor: $3800$
• CM: no
• Rank: $0$

Elliptic curves in class 3800b

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
3800.c2	3800b1	\([0, 1, 0, -15083, 701338]\)	\(12144109568/130321\)	\(4072531250000\)	\([2]\)	\(8960\)	\(1.2352\)	\(\Gamma_0(N)\)-optimal
3800.c1	3800b2	\([0, 1, 0, -240708, 45375088]\)	\(3084800518928/361\)	\(180500000000\)	\([2]\)	\(17920\)	\(1.5818\)

Rank

The elliptic curves in class 3800b have rank \(0\).

Complex multiplication

The elliptic curves in class 3800b do not have complex multiplication.

Modular form 3800.2.a.b

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.

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

Isogeny graph

The vertices are labelled with Cremona labels.