Elliptic Curve Isogeny Class with Cremona label 14415g (LMFDB label 14415.d)

• Label: 14415g
• Number of curves: 8
• Conductor: 14415
• CM: no
• Rank: 0

Elliptic curves in class 14415g

LMFDB label	Cremona label	Weierstrass coefficients	Torsion structure	Modular degree	Optimality
14415.d7	14415g1	[1, 0, 0, -20, -5553]	[2]	7680	\(\Gamma_0(N)\)-optimal
14415.d6	14415g2	[1, 0, 0, -4825, -127600]	[2, 2]	15360
14415.d4	14415g3	[1, 0, 0, -76900, -8214415]	[2]	30720
14415.d5	14415g4	[1, 0, 0, -9630, 167427]	[2, 2]	30720
14415.d2	14415g5	[1, 0, 0, -129755, 17969952]	[2, 2]	61440
14415.d8	14415g6	[1, 0, 0, 33615, 1265850]	[2]	61440
14415.d1	14415g7	[1, 0, 0, -2075780, 1150945707]	[2]	122880
14415.d3	14415g8	[1, 0, 0, -105730, 24836297]	[2]	122880

Rank

The elliptic curves in class 14415g have rank \(0\).

Modular form 14415.2.a.d

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.

\(\left(\begin{array}{rrrrrrrr} 1 & 2 & 4 & 4 & 8 & 8 & 16 & 16 \\ 2 & 1 & 2 & 2 & 4 & 4 & 8 & 8 \\ 4 & 2 & 1 & 4 & 8 & 8 & 16 & 16 \\ 4 & 2 & 4 & 1 & 2 & 2 & 4 & 4 \\ 8 & 4 & 8 & 2 & 1 & 4 & 2 & 2 \\ 8 & 4 & 8 & 2 & 4 & 1 & 8 & 8 \\ 16 & 8 & 16 & 4 & 2 & 8 & 1 & 4 \\ 16 & 8 & 16 & 4 & 2 & 8 & 4 & 1 \end{array}\right)\)

Isogeny graph

The vertices are labelled with Cremona labels.