Elliptic curve isogeny class with Cremona label 10192e (LMFDB label 10192.l)

• Label: 10192e
• Number of curves: $1$
• Conductor: $10192$
• CM: no
• Rank: $2$

Elliptic curves in class 10192e

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
10192.l1	10192e1	\([0, -1, 0, -16, -13]\)	\(614656/169\)	\(132496\)	\([]\)	\(768\)	\(-0.30957\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 10192e1 has rank \(2\).

Complex multiplication

The elliptic curves in class 10192e do not have complex multiplication.

Modular form 10192.2.a.e