Elliptic curve isogeny class with Cremona label 7650u (LMFDB label 7650.bc)

• Label: 7650u
• Number of curves: $2$
• Conductor: $7650$
• CM: no
• Rank: $1$

Elliptic curves in class 7650u

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
7650.bc1	7650u1	\([1, -1, 0, -1692, -22784]\)	\(47045881/6800\)	\(77456250000\)	\([2]\)	\(9216\)	\(0.81473\)	\(\Gamma_0(N)\)-optimal
7650.bc2	7650u2	\([1, -1, 0, 2808, -126284]\)	\(214921799/722500\)	\(-8229726562500\)	\([2]\)	\(18432\)	\(1.1613\)

Rank

The elliptic curves in class 7650u have rank \(1\).

Complex multiplication

The elliptic curves in class 7650u do not have complex multiplication.

Modular form 7650.2.a.u

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.