Elliptic curve isogeny class with Cremona label 185130fs (LMFDB label 185130.bd)

• Label: 185130fs
• Number of curves: $4$
• Conductor: $185130$
• CM: no
• Rank: $0$

Elliptic curves in class 185130fs

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
185130.bd2	185130fs1	\([1, -1, 0, -403860, -98636400]\)	\(152298969481827/86468800\)	\(4135988352513600\)	\([2]\)	\(1935360\)	\(1.9431\)	\(\Gamma_0(N)\)-optimal
185130.bd3	185130fs2	\([1, -1, 0, -331260, -135270360]\)	\(-84044939142627/116825833960\)	\(-5588030463372312120\)	\([2]\)	\(3870720\)	\(2.2896\)
185130.bd1	185130fs3	\([1, -1, 0, -1267800, 433608236]\)	\(6462919457883/1414187500\)	\(49312202177075062500\)	\([2]\)	\(5806080\)	\(2.4924\)
185130.bd4	185130fs4	\([1, -1, 0, 2815950, 2649450986]\)	\(70819203762117/127995282250\)	\(-4463148794642709756750\)	\([2]\)	\(11612160\)	\(2.8390\)

Rank

The elliptic curves in class 185130fs have rank \(0\).

Complex multiplication

The elliptic curves in class 185130fs do not have complex multiplication.

Modular form 185130.2.a.fs

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.

\(\left(\begin{array}{rrrr} 1 & 2 & 3 & 6 \\ 2 & 1 & 6 & 3 \\ 3 & 6 & 1 & 2 \\ 6 & 3 & 2 & 1 \end{array}\right)\)

Isogeny graph

The vertices are labelled with Cremona labels.