Elliptic curve isogeny class with LMFDB label 177450.cb (Cremona label 177450iz)

• Label: 177450.cb
• Number of curves: 8
• Conductor: 177450
• CM: no
• Rank: 0

Elliptic curves in class 177450.cb

LMFDB label	Cremona label	Weierstrass coefficients	Torsion structure	Modular degree	Optimality
177450.cb1	177450iz8	[1, 1, 0, -1483957400, -22003535520000]	[2]	63700992
177450.cb2	177450iz6	[1, 1, 0, -92749400, -343818168000]	[2, 2]	31850496
177450.cb3	177450iz7	[1, 1, 0, -85989400, -396052688000]	[2]	63700992
177450.cb4	177450iz5	[1, 1, 0, -18410525, -29878254375]	[2]	21233664
177450.cb5	177450iz3	[1, 1, 0, -6221400, -4541880000]	[2]	15925248
177450.cb6	177450iz2	[1, 1, 0, -2440025, 769135125]	[2, 2]	10616832
177450.cb7	177450iz1	[1, 1, 0, -2102025, 1171693125]	[2]	5308416	\(\Gamma_0(N)\)-optimal
177450.cb8	177450iz4	[1, 1, 0, 8122475, 5659572625]	[2]	21233664

Rank

The elliptic curves in class 177450.cb have rank \(0\).

Modular form 177450.2.a.cb

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.

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

Isogeny graph

The vertices are labelled with LMFDB labels.