Elliptic curve isogeny class with LMFDB label 215600.hf (Cremona label 215600es)

• Label: 215600.hf
• Number of curves: $4$
• Conductor: $215600$
• CM: no
• Rank: $0$

Elliptic curves in class 215600.hf

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
215600.hf1	215600es4	\([0, -1, 0, -511874008, -4331034889488]\)	\(1969902499564819009/63690429687500\)	\(479559383187500000000000000\)	\([2]\)	\(95551488\)	\(3.8935\)
215600.hf2	215600es2	\([0, -1, 0, -70090008, 223873398512]\)	\(5057359576472449/51765560000\)	\(389770647580160000000000\)	\([2]\)	\(31850496\)	\(3.3442\)
215600.hf3	215600es1	\([0, -1, 0, -1098008, 8618358512]\)	\(-19443408769/4249907200\)	\(-31999829259059200000000\)	\([2]\)	\(15925248\)	\(2.9976\)	\(\Gamma_0(N)\)-optimal
215600.hf4	215600es3	\([0, -1, 0, 9877992, -232151177488]\)	\(14156681599871/3100231750000\)	\(-23343306569968000000000000\)	\([2]\)	\(47775744\)	\(3.5469\)

Rank

The elliptic curves in class 215600.hf have rank \(0\).

Complex multiplication

The elliptic curves in class 215600.hf do not have complex multiplication.

Modular form 215600.2.a.hf

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.

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

Isogeny graph

The vertices are labelled with LMFDB labels.