Elliptic curve isogeny class with LMFDB label 29645.e (Cremona label 29645n)

• Label: 29645.e
• Number of curves: $2$
• Conductor: $29645$
• CM: no
• Rank: $1$

Elliptic curves in class 29645.e

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
29645.e1	29645n2	\([1, 1, 1, -12797870, 1798487032]\)	\(835630707059/478515625\)	\(132745109443598544921875\)	\([2]\)	\(2534400\)	\(3.1266\)
29645.e2	29645n1	\([1, 1, 1, 3180785, 226187380]\)	\(12829337821/7503125\)	\(-2081443316075625184375\)	\([2]\)	\(1267200\)	\(2.7800\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curves in class 29645.e have rank \(1\).

Complex multiplication

The elliptic curves in class 29645.e do not have complex multiplication.

Modular form 29645.2.a.e

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.