Properties

Label 6336.bs
Number of curves $1$
Conductor $6336$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("bs1")
 
E.isogeny_class()
 

Elliptic curves in class 6336.bs

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
6336.bs1 6336bw1 \([0, 0, 0, 18, 378]\) \(13824/1331\) \(-62099136\) \([]\) \(1344\) \(0.17479\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 6336.bs1 has rank \(1\).

Complex multiplication

The elliptic curves in class 6336.bs do not have complex multiplication.

Modular form 6336.2.a.bs

sage: E.q_eigenform(10)
 
\(q + q^{5} - q^{11} + 6 q^{13} + 4 q^{17} - 6 q^{19} + O(q^{20})\) Copy content Toggle raw display