Elliptic curve isogeny class with LMFDB label 53312.i (Cremona label 53312p)

• Label: 53312.i
• Number of curves: $2$
• Conductor: $53312$
• CM: no
• Rank: $0$

Elliptic curves in class 53312.i

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
53312.i1	53312p1	\([0, 1, 0, -849, -4145]\)	\(35152/17\)	\(32768540672\)	\([2]\)	\(46080\)	\(0.71132\)	\(\Gamma_0(N)\)-optimal
53312.i2	53312p2	\([0, 1, 0, 3071, -28449]\)	\(415292/289\)	\(-2228260765696\)	\([2]\)	\(92160\)	\(1.0579\)

Rank

The elliptic curves in class 53312.i have rank \(0\).

Complex multiplication

The elliptic curves in class 53312.i do not have complex multiplication.

Modular form 53312.2.a.i

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.