Elliptic curve isogeny class with LMFDB label 7104.g (Cremona label 7104a)

• Label: 7104.g
• Number of curves: $2$
• Conductor: $7104$
• CM: no
• Rank: $1$

Elliptic curves in class 7104.g

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
7104.g1	7104a2	\([0, -1, 0, -9473, -351999]\)	\(-358667682625/303918\)	\(-79670280192\)	\([]\)	\(6912\)	\(1.0191\)
7104.g2	7104a1	\([0, -1, 0, 127, -2175]\)	\(857375/7992\)	\(-2095054848\)	\([]\)	\(2304\)	\(0.46979\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curves in class 7104.g have rank \(1\).

Complex multiplication

The elliptic curves in class 7104.g do not have complex multiplication.

Modular form 7104.2.a.g

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.

\(\left(\begin{array}{rr} 1 & 3 \\ 3 & 1 \end{array}\right)\)

Isogeny graph

The vertices are labelled with LMFDB labels.