Properties

Label 33800.z
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 33800.z

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
33800.z1 33800bb1 \([0, -1, 0, 1147792, -1198459588]\) \(86614940/371293\) \(-716864157614800000000\) \([]\) \(1209600\) \(2.6843\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

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

Complex multiplication

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

Modular form 33800.2.a.z

sage: E.q_eigenform(10)
 
\(q + 2 q^{3} + 3 q^{7} + q^{9} - q^{11} - 5 q^{17} + 4 q^{19} + O(q^{20})\) Copy content Toggle raw display