Elliptic curve isogeny class with LMFDB label 35904.a (Cremona label 35904g)

• Label: 35904.a
• Number of curves: $2$
• Conductor: $35904$
• CM: no
• Rank: $1$

Elliptic curves in class 35904.a

LMFDB label	Cremona label	Weierstrass coefficients	Torsion structure	Modular degree	Optimality
35904.a1	35904g1	[0, -1, 0, -12545, -536319]	[2]	73728	\(\Gamma_0(N)\)-optimal
35904.a2	35904g2	[0, -1, 0, -9985, -764159]	[2]	147456

Rank

The elliptic curves in class 35904.a have rank \(1\).

Complex multiplication

The elliptic curves in class 35904.a do not have complex multiplication.

Modular form 35904.2.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.

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

Isogeny graph

The vertices are labelled with LMFDB labels.