Properties

Label 286650.w
Number of curves $1$
Conductor $286650$
CM no
Rank $1$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("w1")
 
E.isogeny_class()
 

Elliptic curves in class 286650.w

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
286650.w1 286650w1 \([1, -1, 0, 873, 16771]\) \(34295/78\) \(-167243935950\) \([]\) \(387072\) \(0.83765\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 286650.w1 has rank \(1\).

Complex multiplication

The elliptic curves in class 286650.w do not have complex multiplication.

Modular form 286650.2.a.w

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{4} - q^{8} - 4 q^{11} - q^{13} + q^{16} - 4 q^{17} - 7 q^{19} + O(q^{20})\) Copy content Toggle raw display