Properties

Label 33327.d
Number of curves $1$
Conductor $33327$
CM no
Rank $2$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("d1")
 
E.isogeny_class()
 

Elliptic curves in class 33327.d

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
33327.d1 33327p1 \([1, -1, 1, -824, 9254]\) \(160261033/1029\) \(396824589\) \([]\) \(13824\) \(0.48651\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 33327.d1 has rank \(2\).

Complex multiplication

The elliptic curves in class 33327.d do not have complex multiplication.

Modular form 33327.2.a.d

sage: E.q_eigenform(10)
 
\(q - q^{2} - q^{4} - 3 q^{5} + q^{7} + 3 q^{8} + 3 q^{10} - 2 q^{11} - q^{14} - q^{16} + q^{17} - 2 q^{19} + O(q^{20})\) Copy content Toggle raw display