Properties

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

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Show commands: SageMath
E = EllipticCurve("d1")
 
E.isogeny_class()
 

Elliptic curves in class 38808.d

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
38808.d1 38808bq1 \([0, 0, 0, 9261, -453789]\) \(6912/11\) \(-139793288198256\) \([]\) \(107520\) \(1.3995\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 38808.d1 has rank \(1\).

Complex multiplication

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

Modular form 38808.2.a.d

sage: E.q_eigenform(10)
 
\(q - 3 q^{5} - q^{11} - q^{13} + 4 q^{17} - 5 q^{19} + O(q^{20})\) Copy content Toggle raw display