Elliptic curve isogeny class with LMFDB label 195195.n (Cremona label 195195e)

• Label: 195195.n
• Number of curves: $2$
• Conductor: $195195$
• CM: no
• Rank: $1$

Elliptic curves in class 195195.n

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
195195.n1	195195e2	\([1, 0, 0, -3455, -75258]\)	\(2076087562093/96268095\)	\(211501004715\)	\([2]\)	\(248832\)	\(0.93444\)
195195.n2	195195e1	\([1, 0, 0, 120, -4473]\)	\(86938307/4002075\)	\(-8792558775\)	\([2]\)	\(124416\)	\(0.58787\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curves in class 195195.n have rank \(1\).

Complex multiplication

The elliptic curves in class 195195.n do not have complex multiplication.

Modular form 195195.2.a.n

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.