Elliptic curve isogeny class with LMFDB label 245.c (Cremona label 245c)

• Label: 245.c
• Number of curves: $3$
• Conductor: $245$
• CM: no
• Rank: $1$

Elliptic curves in class 245.c

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
245.c1	245c3	\([0, -1, 1, -6435, 210006]\)	\(-250523582464/13671875\)	\(-1608482421875\)	\([]\)	\(288\)	\(1.1004\)
245.c2	245c1	\([0, -1, 1, -65, -204]\)	\(-262144/35\)	\(-4117715\)	\([]\)	\(32\)	\(0.0018049\)	\(\Gamma_0(N)\)-optimal
245.c3	245c2	\([0, -1, 1, 425, 433]\)	\(71991296/42875\)	\(-5044200875\)	\([]\)	\(96\)	\(0.55111\)

Rank

The elliptic curves in class 245.c have rank \(1\).

Complex multiplication

The elliptic curves in class 245.c do not have complex multiplication.

Modular form 245.2.a.c

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.

\(\left(\begin{array}{rrr} 1 & 9 & 3 \\ 9 & 1 & 3 \\ 3 & 3 & 1 \end{array}\right)\)

Isogeny graph

The vertices are labelled with LMFDB labels.