Properties

Label 338130l
Number of curves $1$
Conductor $338130$
CM no
Rank $1$

Related objects

Downloads

Learn more about

Show commands for: SageMath
sage: E = EllipticCurve("l1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 338130l

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
338130.l1 338130l1 [1, -1, 0, -26545860, -52649932284] [] 25850880 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 338130l1 has rank \(1\).

Complex multiplication

The elliptic curves in class 338130l do not have complex multiplication.

Modular form 338130.2.a.l

sage: E.q_eigenform(10)
 
\( q - q^{2} + q^{4} - q^{5} - 2q^{7} - q^{8} + q^{10} + 3q^{11} - q^{13} + 2q^{14} + q^{16} + 7q^{19} + O(q^{20}) \)