Properties

Label 54080bq
Number of curves $1$
Conductor $54080$
CM no
Rank $0$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("bq1")
 
E.isogeny_class()
 

Elliptic curves in class 54080bq

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
54080.u1 54080bq1 \([0, 1, 0, -225, -6785]\) \(-338/5\) \(-18717736960\) \([]\) \(46080\) \(0.65249\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 54080bq1 has rank \(0\).

Complex multiplication

The elliptic curves in class 54080bq do not have complex multiplication.

Modular form 54080.2.a.bq

sage: E.q_eigenform(10)
 
\(q - 2 q^{3} + q^{5} + 3 q^{7} + q^{9} + 5 q^{11} - 2 q^{15} - 2 q^{17} - 5 q^{19} + O(q^{20})\) Copy content Toggle raw display