Properties

Label 38808.w
Number of curves $1$
Conductor $38808$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("w1")
 
E.isogeny_class()
 

Elliptic curves in class 38808.w

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
38808.w1 38808bn1 \([0, 0, 0, 39837, -10935869]\) \(137566156032/1096135733\) \(-55710405871941744\) \([]\) \(258048\) \(1.8947\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 38808.w1 has rank \(1\).

Complex multiplication

The elliptic curves in class 38808.w do not have complex multiplication.

Modular form 38808.2.a.w

sage: E.q_eigenform(10)
 
\(q - q^{5} - q^{11} - 3 q^{13} - 2 q^{17} + 5 q^{19} + O(q^{20})\) Copy content Toggle raw display