Elliptic curve isogeny class with Cremona label 446400hb (LMFDB label 446400.hb)

• Label: 446400hb
• Number of curves: $2$
• Conductor: $446400$
• CM: no
• Rank: $0$

Elliptic curves in class 446400hb

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
446400.hb1	446400hb1	$[0, 0, 0, -1140300, -550342000]$	$-1482713947827/325058560$	$-35948876267520000000$	$[]$	$9289728$	$2.4731$	$\Gamma_0(N)$-optimal^*
446400.hb2	446400hb2	$[0, 0, 0, 8075700, 3306042000]$	$722458663317/476656000$	$-38428754116608000000000$	$[]$	$27869184$	$3.0224$	$\Gamma_0(N)$-optimal^*

^*optimality has not been determined rigorously for conductors over 400000. In this case the optimal curve is certainly one of the 2 curves highlighted, and conditionally curve 446400hb1.

Rank

The elliptic curves in class 446400hb have rank $0$.

Complex multiplication

The elliptic curves in class 446400hb do not have complex multiplication.

Modular form 446400.2.a.hb

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.

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

Isogeny graph

The vertices are labelled with Cremona labels.