Elliptic curve isogeny class with LMFDB label 15680.bm (Cremona label 15680bq)

• Label: 15680.bm
• Number of curves: $1$
• Conductor: $15680$
• CM: no
• Rank: $1$

Elliptic curves in class 15680.bm

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
15680.bm1	15680bq1	\([0, -1, 0, 42075, -10431875]\)	\(12459008/78125\)	\(-51652616960000000\)	\([]\)	\(100352\)	\(1.8888\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 15680.bm1 has rank \(1\).

Complex multiplication

The elliptic curves in class 15680.bm do not have complex multiplication.

Modular form 15680.2.a.bm