Elliptic curve isogeny class with LMFDB label 462.c (Cremona label 462b)

• Label: 462.c
• Number of curves: $4$
• Conductor: $462$
• CM: no
• Rank: $0$

Elliptic curves in class 462.c

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
462.c1	462b3	$[1, 1, 0, -92004, 10703088]$	$86129359107301290313/9166294368$	$9166294368$	$[2]$	$1920$	$1.3393$
462.c2	462b2	$[1, 1, 0, -5764, 164560]$	$21184262604460873/216872764416$	$216872764416$	$[2, 2]$	$960$	$0.99273$
462.c3	462b4	$[1, 1, 0, -1444, 410800]$	$-333345918055753/72923718045024$	$-72923718045024$	$[2]$	$1920$	$1.3393$
462.c4	462b1	$[1, 1, 0, -644, -2352]$	$29609739866953/15259926528$	$15259926528$	$[2]$	$480$	$0.64616$	$\Gamma_0(N)$-optimal

Rank

The elliptic curves in class 462.c have rank $0$.

Complex multiplication

The elliptic curves in class 462.c do not have complex multiplication.

Modular form 462.2.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.

$\left(\begin{array}{rrrr} 1 & 2 & 4 & 4 \\ 2 & 1 & 2 & 2 \\ 4 & 2 & 1 & 4 \\ 4 & 2 & 4 & 1 \end{array}\right)$

Isogeny graph

The vertices are labelled with LMFDB labels.