Elliptic curve isogeny class with LMFDB label 94192.r (Cremona label 94192i)

• Label: 94192.r
• Number of curves: $4$
• Conductor: $94192$
• CM: no
• Rank: $0$

Elliptic curves in class 94192.r

LMFDB label	Cremona label	Weierstrass coefficients	Torsion structure	Modular degree	Optimality
94192.r1	94192i4	[0, 0, 0, -251459, -48534110]	[2]	387072
94192.r2	94192i3	[0, 0, 0, -49619, 3365682]	[2]	387072
94192.r3	94192i2	[0, 0, 0, -15979, -731670]	[2, 2]	193536
94192.r4	94192i1	[0, 0, 0, 841, -48778]	[2]	96768	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curves in class 94192.r have rank \(0\).

Complex multiplication

The elliptic curves in class 94192.r do not have complex multiplication.

Modular form 94192.2.a.r

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.