Properties

Label 104544.k
Number of curves $1$
Conductor $104544$
CM no
Rank $1$

Related objects

Downloads

Learn more

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

Elliptic curves in class 104544.k

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
104544.k1 104544z1 \([0, 0, 0, 2904, 21296]\) \(1536\) \(-1763284267008\) \([]\) \(134400\) \(1.0387\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 104544.k1 has rank \(1\).

Complex multiplication

The elliptic curves in class 104544.k do not have complex multiplication.

Modular form 104544.2.a.k

sage: E.q_eigenform(10)
 
\(q - 2 q^{5} - q^{7} - q^{13} + 6 q^{17} + 5 q^{19} + O(q^{20})\) Copy content Toggle raw display