Elliptic curve isogeny class with LMFDB label 35280.bj (Cremona label 35280dy)

• Label: 35280.bj
• Number of curves: $8$
• Conductor: $35280$
• CM: no
• Rank: $0$

Elliptic curves in class 35280.bj

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
35280.bj1	35280dy8	$[0, 0, 0, -45518403, -74365731902]$	$29689921233686449/10380965400750$	$3646812711557275610112000$	$[2]$	$5308416$	$3.4144$
35280.bj2	35280dy5	$[0, 0, 0, -40649763, -99755096798]$	$21145699168383889/2593080$	$910943899822817280$	$[2]$	$1769472$	$2.8651$
35280.bj3	35280dy6	$[0, 0, 0, -19058403, 31172624098]$	$2179252305146449/66177562500$	$23248047443394816000000$	$[2, 2]$	$2654208$	$3.0679$
35280.bj4	35280dy3	$[0, 0, 0, -18917283, 31669112482]$	$2131200347946769/2058000$	$722971349065728000$	$[2]$	$1327104$	$2.7213$
35280.bj5	35280dy2	$[0, 0, 0, -2547363, -1549971038]$	$5203798902289/57153600$	$20077947179768217600$	$[2, 2]$	$884736$	$2.5186$
35280.bj6	35280dy4	$[0, 0, 0, -571683, -3892732382]$	$-58818484369/18600435000$	$-6534296202701352960000$	$[2]$	$1769472$	$2.8651$
35280.bj7	35280dy1	$[0, 0, 0, -289443, 21089698]$	$7633736209/3870720$	$1359776316936683520$	$[2]$	$442368$	$2.1720$	$\Gamma_0(N)$-optimal
35280.bj8	35280dy7	$[0, 0, 0, 5143677, 104935723522]$	$42841933504271/13565917968750$	$-4765680279486000000000000$	$[2]$	$5308416$	$3.4144$

Rank

The elliptic curves in class 35280.bj have rank $0$.

Complex multiplication

The elliptic curves in class 35280.bj do not have complex multiplication.

Modular form 35280.2.a.bj

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.

$\left(\begin{array}{rrrrrrrr} 1 & 3 & 2 & 4 & 6 & 12 & 12 & 4 \\ 3 & 1 & 6 & 12 & 2 & 4 & 4 & 12 \\ 2 & 6 & 1 & 2 & 3 & 6 & 6 & 2 \\ 4 & 12 & 2 & 1 & 6 & 12 & 3 & 4 \\ 6 & 2 & 3 & 6 & 1 & 2 & 2 & 6 \\ 12 & 4 & 6 & 12 & 2 & 1 & 4 & 3 \\ 12 & 4 & 6 & 3 & 2 & 4 & 1 & 12 \\ 4 & 12 & 2 & 4 & 6 & 3 & 12 & 1 \end{array}\right)$

Isogeny graph

The vertices are labelled with LMFDB labels.