Properties

Label 388080.w
Number of curves $1$
Conductor $388080$
CM no
Rank $0$

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

Elliptic curves in class 388080.w

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
388080.w1 388080w1 \([0, 0, 0, -2531928, -1551099508]\) \(-81756451446784/24958395\) \(-547989689737163520\) \([]\) \(6635520\) \(2.3809\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 388080.w1 has rank \(0\).

Complex multiplication

The elliptic curves in class 388080.w do not have complex multiplication.

Modular form 388080.2.a.w

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