Properties

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

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Show commands: SageMath
E = EllipticCurve("g1")
 
E.isogeny_class()
 

Elliptic curves in class 33800g

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
33800.k1 33800g1 \([0, -1, 0, -18308, 667237]\) \(3328\) \(203932680250000\) \([]\) \(79872\) \(1.4510\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 33800g1 has rank \(1\).

Complex multiplication

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

Modular form 33800.2.a.g

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