Properties

Label 239904ct
Number of curves $1$
Conductor $239904$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("ct1")
 
E.isogeny_class()
 

Elliptic curves in class 239904ct

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
239904.ct1 239904ct1 \([0, 0, 0, -147, -5978]\) \(-392/17\) \(-15234863616\) \([]\) \(96768\) \(0.63398\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 239904ct1 has rank \(1\).

Complex multiplication

The elliptic curves in class 239904ct do not have complex multiplication.

Modular form 239904.2.a.ct

sage: E.q_eigenform(10)
 
\(q + q^{5} + 4 q^{11} + 2 q^{13} + q^{17} - q^{19} + O(q^{20})\) Copy content Toggle raw display