Properties

Label 33800s
Number of curves $1$
Conductor $33800$
CM no
Rank $2$

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Show commands: SageMath
E = EllipticCurve("s1")
 
E.isogeny_class()
 

Elliptic curves in class 33800s

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
33800.i1 33800s1 \([0, -1, 0, -108, 337]\) \(3328\) \(42250000\) \([]\) \(6144\) \(0.16854\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 33800s1 has rank \(2\).

Complex multiplication

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

Modular form 33800.2.a.s

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