Properties

Label 33800z
Number of curves $1$
Conductor $33800$
CM no
Rank $1$

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

Elliptic curves in class 33800z

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
33800.j1 33800z1 \([0, -1, 0, -5633, 58837]\) \(25600/13\) \(10039762720000\) \([]\) \(48384\) \(1.1873\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 33800z1 has rank \(1\).

Complex multiplication

The elliptic curves in class 33800z do not have complex multiplication.

Modular form 33800.2.a.z

sage: E.q_eigenform(10)
 
\(q - q^{3} - 2 q^{9} + 2 q^{11} - 2 q^{17} - 8 q^{19} + O(q^{20})\) Copy content Toggle raw display