Properties

Label 58800gq
Number of curves $1$
Conductor $58800$
CM no
Rank $1$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("gq1")
 
E.isogeny_class()
 

Elliptic curves in class 58800gq

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
58800.es1 58800gq1 \([0, -1, 0, 1900792, 4084956912]\) \(16468459/165888\) \(-7650490466304000000000\) \([]\) \(3548160\) \(2.8802\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 58800gq1 has rank \(1\).

Complex multiplication

The elliptic curves in class 58800gq do not have complex multiplication.

Modular form 58800.2.a.gq

sage: E.q_eigenform(10)
 
\(q - q^{3} + q^{9} + 5 q^{11} + q^{13} - 2 q^{17} - 7 q^{19} + O(q^{20})\) Copy content Toggle raw display