Elliptic curve isogeny class with LMFDB label 150.a (Cremona label 150b)

• Label: 150.a
• Number of curves: $4$
• Conductor: $150$
• CM: no
• Rank: $0$

Elliptic curves in class 150.a

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
150.a1	150b4	$[1, 1, 0, -20700, 1134000]$	$502270291349/1889568$	$3690562500000$	$[2]$	$400$	$1.2707$
150.a2	150b2	$[1, 1, 0, -1325, -19125]$	$131872229/18$	$35156250$	$[2]$	$80$	$0.46602$
150.a3	150b3	$[1, 1, 0, -700, 34000]$	$-19465109/248832$	$-486000000000$	$[2]$	$200$	$0.92417$
150.a4	150b1	$[1, 1, 0, -75, -375]$	$-24389/12$	$-23437500$	$[2]$	$40$	$0.11945$	$\Gamma_0(N)$-optimal

Rank

The elliptic curves in class 150.a have rank $0$.

Complex multiplication

The elliptic curves in class 150.a do not have complex multiplication.

Modular form 150.2.a.a

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.

$\left(\begin{array}{rrrr} 1 & 5 & 2 & 10 \\ 5 & 1 & 10 & 2 \\ 2 & 10 & 1 & 5 \\ 10 & 2 & 5 & 1 \end{array}\right)$

Isogeny graph

The vertices are labelled with LMFDB labels.