Elliptic curve isogeny class with LMFDB label 10115.i (Cremona label 10115e)

• Label: 10115.i
• Number of curves: $1$
• Conductor: $10115$
• CM: no
• Rank: $1$

Elliptic curves in class 10115.i

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
10115.i1	10115e1	\([1, 1, 0, -506478, 86623057]\)	\(172032746578729129/60555631504375\)	\(5057666898876904375\)	\([]\)	\(168480\)	\(2.2902\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 10115.i1 has rank \(1\).

Complex multiplication

The elliptic curves in class 10115.i do not have complex multiplication.

Modular form 10115.2.a.i