Properties

Label 435344k
Number of curves $1$
Conductor $435344$
CM no
Rank $1$

Related objects

Downloads

Learn more

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

Elliptic curves in class 435344k

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
435344.k1 435344k1 \([0, 1, 0, -39798825577, 3055987513005987]\) \(5642017163771722268092767232/570626054098424597\) \(705101561230531259038969088\) \([]\) \(798336000\) \(4.5826\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 435344k1 has rank \(1\).

Complex multiplication

The elliptic curves in class 435344k do not have complex multiplication.

Modular form 435344.2.a.k

sage: E.q_eigenform(10)
 
\(q - 2q^{3} + 2q^{5} + q^{7} + q^{9} - 5q^{11} - 4q^{15} - 7q^{17} + O(q^{20})\)  Toggle raw display