Properties

Label 38440f
Number of curves $1$
Conductor $38440$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("f1")
 
E.isogeny_class()
 

Elliptic curves in class 38440f

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
38440.a1 38440f1 \([0, 0, 0, -36952372, 86459559364]\) \(-24560689104608256/93096875\) \(-21151697728536800000\) \([]\) \(3225600\) \(2.9227\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 38440f1 has rank \(1\).

Complex multiplication

The elliptic curves in class 38440f do not have complex multiplication.

Modular form 38440.2.a.f

sage: E.q_eigenform(10)
 
\(q - 3 q^{3} + q^{5} + 2 q^{7} + 6 q^{9} + 2 q^{11} + 2 q^{13} - 3 q^{15} + q^{17} + q^{19} + O(q^{20})\) Copy content Toggle raw display