Properties

Label 22050.de
Number of curves $1$
Conductor $22050$
CM no
Rank $1$

Related objects

Downloads

Learn more about

Show commands for: SageMath
sage: E = EllipticCurve("de1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 22050.de

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
22050.de1 22050df1 [1, -1, 1, 1975, 96457] [] 59904 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 22050.de1 has rank \(1\).

Complex multiplication

The elliptic curves in class 22050.de do not have complex multiplication.

Modular form 22050.2.a.de

sage: E.q_eigenform(10)
 
\( q + q^{2} + q^{4} + q^{8} - 4q^{11} - 3q^{13} + q^{16} + 7q^{17} + 6q^{19} + O(q^{20}) \)