Elliptic curve isogeny class with LMFDB label 309738.e (Cremona label 309738e)

• Label: 309738.e
• Number of curves: $1$
• Conductor: $309738$
• CM: no
• Rank: $1$

Elliptic curves in class 309738.e

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
309738.e1	309738e1	\([1, 1, 0, -849801, 37473544341]\)	\(-11069811217/98941244688\)	\(-606615326811429229811088\)	\([]\)	\(57127680\)	\(3.2424\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 309738.e1 has rank \(1\).

Complex multiplication

The elliptic curves in class 309738.e do not have complex multiplication.

Modular form 309738.2.a.e