Elliptic curve isogeny class with LMFDB label 100005.a (Cremona label 100005a)

• Label: 100005.a
• Number of curves: $1$
• Conductor: $100005$
• CM: no
• Rank: $2$

Elliptic curves in class 100005.a

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
100005.a1	100005a1	\([0, -1, 1, -346, 2652]\)	\(-4594165018624/121506075\)	\(-121506075\)	\([]\)	\(53088\)	\(0.33375\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 100005.a1 has rank \(2\).

Complex multiplication

The elliptic curves in class 100005.a do not have complex multiplication.

Modular form 100005.2.a.a