Elliptic curve isogeny class with LMFDB label 46410.a (Cremona label 46410b)

• Label: 46410.a
• Number of curves: $4$
• Conductor: $46410$
• CM: no
• Rank: $2$

Elliptic curves in class 46410.a

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
46410.a1	46410b4	\([1, 1, 0, -41093, -2836347]\)	\(7674388308884766169/1007648705929320\)	\(1007648705929320\)	\([2]\)	\(294912\)	\(1.6070\)
46410.a2	46410b2	\([1, 1, 0, -10493, 364413]\)	\(127787213284071769/15197834433600\)	\(15197834433600\)	\([2, 2]\)	\(147456\)	\(1.2604\)
46410.a3	46410b1	\([1, 1, 0, -10173, 390717]\)	\(116449478628435289/1996001280\)	\(1996001280\)	\([2]\)	\(73728\)	\(0.91385\)	\(\Gamma_0(N)\)-optimal
46410.a4	46410b3	\([1, 1, 0, 14987, 1888117]\)	\(372239584720800551/1745320379985000\)	\(-1745320379985000\)	\([2]\)	\(294912\)	\(1.6070\)

Rank

The elliptic curves in class 46410.a have rank \(2\).

Complex multiplication

The elliptic curves in class 46410.a do not have complex multiplication.

Modular form 46410.2.a.a

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.

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

Isogeny graph

The vertices are labelled with LMFDB labels.