Elliptic curve isogeny class with Cremona label 304e (LMFDB label 304.f)

• Label: 304e
• Number of curves: $3$
• Conductor: $304$
• CM: no
• Rank: $0$

Elliptic curves in class 304e

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
304.f3	304e1	$[0, -1, 0, 11, -3]$	$32768/19$	$-77824$	$[]$	$24$	$-0.37203$	$\Gamma_0(N)$-optimal
304.f2	304e2	$[0, -1, 0, -149, 797]$	$-89915392/6859$	$-28094464$	$[]$	$72$	$0.17728$
304.f1	304e3	$[0, -1, 0, -12309, 529757]$	$-50357871050752/19$	$-77824$	$[]$	$216$	$0.72659$

Rank

The elliptic curves in class 304e have rank $0$.

Complex multiplication

The elliptic curves in class 304e do not have complex multiplication.

Modular form 304.2.a.e

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.

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

Isogeny graph

The vertices are labelled with Cremona labels.