Elliptic curve isogeny class with Cremona label 2904i (LMFDB label 2904.b)

• Label: 2904i
• Number of curves: $2$
• Conductor: $2904$
• CM: no
• Rank: $0$

Elliptic curves in class 2904i

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
2904.b2	2904i1	\([0, -1, 0, -920, -10404]\)	\(63253004/243\)	\(331195392\)	\([2]\)	\(2880\)	\(0.49328\)	\(\Gamma_0(N)\)-optimal
2904.b1	2904i2	\([0, -1, 0, -1360, 1036]\)	\(102129622/59049\)	\(160960960512\)	\([2]\)	\(5760\)	\(0.83986\)

Rank

The elliptic curves in class 2904i have rank \(0\).

Complex multiplication

The elliptic curves in class 2904i do not have complex multiplication.

Modular form 2904.2.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 Cremona numbering.

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

Isogeny graph

The vertices are labelled with Cremona labels.