Elliptic curve isogeny class with Cremona label 299832m (LMFDB label 299832.m)

• Label: 299832m
• Number of curves: $4$
• Conductor: $299832$
• CM: no
• Rank: $1$

Elliptic curves in class 299832m

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
299832.m3	299832m1	\([0, 1, 0, -37799, -2840538]\)	\(420616192/117\)	\(1661406890832\)	\([2]\)	\(967680\)	\(1.3267\)	\(\Gamma_0(N)\)-optimal
299832.m2	299832m2	\([0, 1, 0, -42604, -2077504]\)	\(37642192/13689\)	\(3110153699637504\)	\([2, 2]\)	\(1935360\)	\(1.6733\)
299832.m1	299832m3	\([0, 1, 0, -292464, 59288112]\)	\(3044193988/85293\)	\(77514599898657792\)	\([2]\)	\(3870720\)	\(2.0198\)
299832.m4	299832m4	\([0, 1, 0, 130376, -14532064]\)	\(269676572/257049\)	\(-233607100106105856\)	\([2]\)	\(3870720\)	\(2.0198\)

Rank

The elliptic curves in class 299832m have rank \(1\).

Complex multiplication

The elliptic curves in class 299832m do not have complex multiplication.

Modular form 299832.2.a.m

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 Cremona 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 Cremona labels.