Elliptic curve isogeny class with LMFDB label 30492.c (Cremona label 30492d)

• Label: 30492.c
• Number of curves: $2$
• Conductor: $30492$
• CM: no
• Rank: $1$

Elliptic curves in class 30492.c

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
30492.c1	30492d1	\([0, 0, 0, -8349, -304799]\)	\(-84098304/3773\)	\(-2887531050096\)	\([]\)	\(69120\)	\(1.1555\)	\(\Gamma_0(N)\)-optimal
30492.c2	30492d2	\([0, 0, 0, 42471, -826551]\)	\(15185664/9317\)	\(-5198086253018736\)	\([]\)	\(207360\)	\(1.7048\)

Rank

The elliptic curves in class 30492.c have rank \(1\).

Complex multiplication

The elliptic curves in class 30492.c do not have complex multiplication.

Modular form 30492.2.a.c

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.