Elliptic curve isogeny class with LMFDB label 215950.s (Cremona label 215950d)

• Label: 215950.s
• Number of curves: $2$
• Conductor: $215950$
• CM: no
• Rank: $0$

Elliptic curves in class 215950.s

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
215950.s1	215950d1	\([1, 1, 1, -40998313, 214238507031]\)	\(-487754906646816354619081/986928523547750000000\)	\(-15420758180433593750000000\)	\([]\)	\(42759360\)	\(3.5225\)	\(\Gamma_0(N)\)-optimal
215950.s2	215950d2	\([1, 1, 1, 354267312, -4602738336719]\)	\(314700137324290484459710919/767884119673361137664000\)	\(-11998189369896267776000000000\)	\([]\)	\(128278080\)	\(4.0718\)

Rank

The elliptic curves in class 215950.s have rank \(0\).

Complex multiplication

The elliptic curves in class 215950.s do not have complex multiplication.

Modular form 215950.2.a.s

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.

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

Isogeny graph

The vertices are labelled with LMFDB labels.