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 \(0\).

Complex multiplication

The elliptic curves in class 227430.fu do not have complex multiplication.

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.