Properties

Label 38808cf
Number of curves $1$
Conductor $38808$
CM no
Rank $2$

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Show commands: SageMath
E = EllipticCurve("cf1")
 
E.isogeny_class()
 

Elliptic curves in class 38808cf

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
38808.e1 38808cf1 \([0, 0, 0, -5439, 156751]\) \(-12967168/231\) \(-316991583216\) \([]\) \(61440\) \(1.0036\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 38808cf1 has rank \(2\).

Complex multiplication

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

Modular form 38808.2.a.cf

sage: E.q_eigenform(10)
 
\(q - 3 q^{5} - q^{11} + q^{13} - 2 q^{17} - 7 q^{19} + O(q^{20})\) Copy content Toggle raw display