Elliptic curve isogeny class with Cremona label 950b (LMFDB label 950.a)

• Label: 950b
• Number of curves: $2$
• Conductor: $950$
• CM: no
• Rank: $0$

Elliptic curves in class 950b

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
950.a2	950b1	$[1, 1, 0, -750, -12500]$	$-2992209121/2375000$	$-37109375000$	$[]$	$576$	$0.72655$	$\Gamma_0(N)$-optimal
950.a1	950b2	$[1, 1, 0, -69500, -7081250]$	$-2376117230685121/342950$	$-5358593750$	$[]$	$1728$	$1.2759$

Rank

The elliptic curves in class 950b have rank $0$.

Complex multiplication

The elliptic curves in class 950b do not have complex multiplication.

Modular form 950.2.a.b

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 Cremona numbering.

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

Isogeny graph

The vertices are labelled with Cremona labels.