Properties

Label 66248.k
Number of curves $1$
Conductor $66248$
CM no
Rank $2$

Related objects

Downloads

Learn more

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

Elliptic curves in class 66248.k

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
66248.k1 66248m1 \([0, -1, 0, -2760, 52753]\) \(12544\) \(185426694544\) \([]\) \(46080\) \(0.90560\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 66248.k1 has rank \(2\).

Complex multiplication

The elliptic curves in class 66248.k do not have complex multiplication.

Modular form 66248.2.a.k

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