Properties

Label 286110i
Number of curves $1$
Conductor $286110$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("i1")
 
E.isogeny_class()
 

Elliptic curves in class 286110i

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
286110.i1 286110i1 \([1, -1, 0, 47070, -4254764]\) \(54742641046271/68594841920\) \(-14451629890547520\) \([]\) \(2592000\) \(1.7868\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 286110i1 has rank \(1\).

Complex multiplication

The elliptic curves in class 286110i do not have complex multiplication.

Modular form 286110.2.a.i

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{4} - q^{5} - 3 q^{7} - q^{8} + q^{10} + q^{11} + 3 q^{14} + q^{16} + O(q^{20})\) Copy content Toggle raw display