Elliptic curve isogeny class with LMFDB label 20400.c (Cremona label 20400o)

• Label: 20400.c
• Number of curves: $2$
• Conductor: $20400$
• CM: no
• Rank: $0$

Elliptic curves in class 20400.c

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
20400.c1	20400o1	$[0, -1, 0, -203583, -35284338]$	$29860725364736/3581577$	$111924281250000$	$[2]$	$149760$	$1.7205$	$\Gamma_0(N)$-optimal
20400.c2	20400o2	$[0, -1, 0, -186708, -41393088]$	$-1439609866256/651714363$	$-325857181500000000$	$[2]$	$299520$	$2.0671$

Rank

The elliptic curves in class 20400.c have rank $0$.

Complex multiplication

The elliptic curves in class 20400.c do not have complex multiplication.

Modular form 20400.2.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.