Elliptic curve isogeny class with LMFDB label 95106.t (Cremona label 95106o)

• Label: 95106.t
• Number of curves: $4$
• Conductor: $95106$
• CM: no
• Rank: $1$

Elliptic curves in class 95106.t

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
95106.t1	95106o4	\([1, 1, 1, -676332, -214367691]\)	\(19312898130234073/84888\)	\(150384270168\)	\([2]\)	\(737280\)	\(1.7730\)
95106.t2	95106o2	\([1, 1, 1, -42292, -3359179]\)	\(4722184089433/9884736\)	\(17511412792896\)	\([2, 2]\)	\(368640\)	\(1.4265\)
95106.t3	95106o3	\([1, 1, 1, -27772, -5682379]\)	\(-1337180541913/7067998104\)	\(-12521389789120344\)	\([2]\)	\(737280\)	\(1.7730\)
95106.t4	95106o1	\([1, 1, 1, -3572, -13771]\)	\(2845178713/1609728\)	\(2851731345408\)	\([2]\)	\(184320\)	\(1.0799\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curves in class 95106.t have rank \(1\).

Complex multiplication

The elliptic curves in class 95106.t do not have complex multiplication.

Modular form 95106.2.a.t

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.

\(\left(\begin{array}{rrrr} 1 & 2 & 4 & 4 \\ 2 & 1 & 2 & 2 \\ 4 & 2 & 1 & 4 \\ 4 & 2 & 4 & 1 \end{array}\right)\)

Isogeny graph

The vertices are labelled with LMFDB labels.