Properties

Label 476850kf
Number of curves $1$
Conductor $476850$
CM no
Rank $1$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("kf1")
 
E.isogeny_class()
 

Elliptic curves in class 476850kf

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
476850.kf1 476850kf1 \([1, 0, 0, -535786012188, 150963083404702992]\) \(-45100802713464654722769650329/4293192974400000000000\) \(-1619175650779613025000000000000000\) \([]\) \(4653158400\) \(5.4091\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 476850kf1 has rank \(1\).

Complex multiplication

The elliptic curves in class 476850kf do not have complex multiplication.

Modular form 476850.2.a.kf

sage: E.q_eigenform(10)
 
\(q + q^{2} + q^{3} + q^{4} + q^{6} + 3 q^{7} + q^{8} + q^{9} - q^{11} + q^{12} + 3 q^{14} + q^{16} + q^{18} + O(q^{20})\) Copy content Toggle raw display