Elliptic curve isogeny class with Cremona label 85698u (LMFDB label 85698.o)

• Label: 85698u
• Number of curves: $2$
• Conductor: $85698$
• CM: no
• Rank: $1$

Elliptic curves in class 85698u

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
85698.o2	85698u1	\([1, -1, 1, 2281, -4753]\)	\(109503/64\)	\(-767418048576\)	\([]\)	\(152064\)	\(0.96994\)	\(\Gamma_0(N)\)-optimal
85698.o1	85698u2	\([1, -1, 1, -29459, 2132407]\)	\(-35937/4\)	\(-314689363544196\)	\([]\)	\(456192\)	\(1.5192\)

Rank

The elliptic curves in class 85698u have rank \(1\).

Complex multiplication

The elliptic curves in class 85698u do not have complex multiplication.

Modular form 85698.2.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.

\(\left(\begin{array}{rr} 1 & 3 \\ 3 & 1 \end{array}\right)\)

Isogeny graph

The vertices are labelled with Cremona labels.