Properties

Label 3330.z
Number of curves $1$
Conductor $3330$
CM no
Rank $0$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("z1")
 
E.isogeny_class()
 

Elliptic curves in class 3330.z

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
3330.z1 3330w1 \([1, -1, 1, -32, -111]\) \(-4826809/5550\) \(-4045950\) \([]\) \(896\) \(-0.038006\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 3330.z1 has rank \(0\).

Complex multiplication

The elliptic curves in class 3330.z do not have complex multiplication.

Modular form 3330.2.a.z

sage: E.q_eigenform(10)
 
\(q + q^{2} + q^{4} + q^{5} + 3 q^{7} + q^{8} + q^{10} + 3 q^{11} - 5 q^{13} + 3 q^{14} + q^{16} - 5 q^{17} + q^{19} + O(q^{20})\) Copy content Toggle raw display