Elliptic curve isogeny class with LMFDB label 1400.g (Cremona label 1400a)

• Label: 1400.g
• Number of curves: $4$
• Conductor: $1400$
• CM: no
• Rank: $0$

Elliptic curves in class 1400.g

LMFDB label	Cremona label	Weierstrass coefficients	Torsion structure	Modular degree	Optimality
1400.g1	1400a4	[0, 0, 0, -7475, 248750]	[2]	1024
1400.g2	1400a3	[0, 0, 0, -1475, -17250]	[2]	1024
1400.g3	1400a2	[0, 0, 0, -475, 3750]	[2, 2]	512
1400.g4	1400a1	[0, 0, 0, 25, 250]	[2]	256	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curves in class 1400.g have rank \(0\).

Complex multiplication

The elliptic curves in class 1400.g do not have complex multiplication.

Modular form 1400.2.a.g

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.

\(\left(\begin{array}{rrrr} 1 & 4 & 2 & 4 \\ 4 & 1 & 2 & 4 \\ 2 & 2 & 1 & 2 \\ 4 & 4 & 2 & 1 \end{array}\right)\)

Isogeny graph

The vertices are labelled with LMFDB labels.