Elliptic curve isogeny class with LMFDB label 102675.w (Cremona label 102675t)

• Label: 102675.w
• Number of curves: $2$
• Conductor: $102675$
• CM: no
• Rank: $0$

Elliptic curves in class 102675.w

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
102675.w1	102675t2	\([0, 1, 1, -285208, -60186881]\)	\(-102400/3\)	\(-75167765888671875\)	\([]\)	\(1555200\)	\(2.0171\)
102675.w2	102675t1	\([0, 1, 1, 2282, 186019]\)	\(20480/243\)	\(-15586787934675\)	\([]\)	\(311040\)	\(1.2124\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curves in class 102675.w have rank \(0\).

Complex multiplication

The elliptic curves in class 102675.w do not have complex multiplication.

Modular form 102675.2.a.w

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.

\(\left(\begin{array}{rr} 1 & 5 \\ 5 & 1 \end{array}\right)\)

Isogeny graph

The vertices are labelled with LMFDB labels.