Elliptic curve isogeny class with LMFDB label 227430.fu (Cremona label 227430h)

• Label: 227430.fu
• Number of curves: $8$
• Conductor: $227430$
• CM: no
• Rank: $0$

Elliptic curves in class 227430.fu

LMFDB label	Cremona label	Weierstrass coefficients	Torsion structure	Modular degree	Optimality
227430.fu1	227430h7	[1, -1, 1, -20959367, 23241143409]	[2]	31850496
227430.fu2	227430h4	[1, -1, 1, -18717557, 31173602901]	[2]	10616832
227430.fu3	227430h6	[1, -1, 1, -8775617, -9737831091]	[2, 2]	15925248
227430.fu4	227430h3	[1, -1, 1, -8710637, -9892977339]	[2]	7962624
227430.fu5	227430h2	[1, -1, 1, -1172957, 484588581]	[2, 2]	5308416
227430.fu6	227430h5	[1, -1, 1, -263237, 1216367349]	[2]	10616832
227430.fu7	227430h1	[1, -1, 1, -133277, -6556251]	[2]	2654208	\(\Gamma_0(N)\)-optimal
227430.fu8	227430h8	[1, -1, 1, 2368453, -32788225479]	[2]	31850496

Rank

The elliptic curves in class 227430.fu have rank \(0\).

Modular form 227430.2.a.fu

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.