Elliptic curve isogeny class with LMFDB label 294.c (Cremona label 294g)

• Label: 294.c
• Number of curves: $2$
• Conductor: $294$
• CM: no
• Rank: $1$

Elliptic curves in class 294.c

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
294.c1	294g2	$[1, 0, 1, -138, 592]$	$838561807/26244$	$9001692$	$[2]$	$128$	$0.10948$
294.c2	294g1	$[1, 0, 1, 2, 32]$	$4913/1296$	$-444528$	$[2]$	$64$	$-0.23709$	$\Gamma_0(N)$-optimal

Rank

The elliptic curves in class 294.c have rank $1$.

Complex multiplication

The elliptic curves in class 294.c do not have complex multiplication.

Modular form 294.2.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.

$\left(\begin{array}{rr} 1 & 2 \\ 2 & 1 \end{array}\right)$

Isogeny graph

The vertices are labelled with LMFDB labels.