Elliptic curve isogeny class with LMFDB label 215475.ba (Cremona label 215475bj)

• Label: 215475.ba
• Number of curves: $2$
• Conductor: $215475$
• CM: no
• Rank: $1$

Elliptic curves in class 215475.ba

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
215475.ba1	215475bj2	\([0, -1, 1, -367960883, -2716633813957]\)	\(-2557850287243264/796875\)	\(-1716499776440185546875\)	\([]\)	\(30730752\)	\(3.4367\)
215475.ba2	215475bj1	\([0, -1, 1, -3808133, -4970361082]\)	\(-2835349504/3316275\)	\(-7143385469633476171875\)	\([]\)	\(10243584\)	\(2.8874\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curves in class 215475.ba have rank \(1\).

Complex multiplication

The elliptic curves in class 215475.ba do not have complex multiplication.

Modular form 215475.2.a.ba

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.