Properties

Label 5544k
Number of curves $1$
Conductor $5544$
CM no
Rank $1$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("k1")
 
E.isogeny_class()
 

Elliptic curves in class 5544k

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
5544.a1 5544k1 \([0, 0, 0, -13359, 594351]\) \(-610325920583424/55240493\) \(-23863892976\) \([]\) \(7680\) \(1.0308\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 5544k1 has rank \(1\).

Complex multiplication

The elliptic curves in class 5544k do not have complex multiplication.

Modular form 5544.2.a.k

sage: E.q_eigenform(10)
 
\(q - 3 q^{5} - q^{7} + q^{11} - 3 q^{13} + 6 q^{17} + q^{19} + O(q^{20})\) Copy content Toggle raw display