Properties

Label 208080.fu
Number of curves $1$
Conductor $208080$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("fu1")
 
E.isogeny_class()
 

Elliptic curves in class 208080.fu

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
208080.fu1 208080w1 \([0, 0, 0, -6987, 532474]\) \(-43713001/116640\) \(-100654415216640\) \([]\) \(414720\) \(1.3744\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 208080.fu1 has rank \(0\).

Complex multiplication

The elliptic curves in class 208080.fu do not have complex multiplication.

Modular form 208080.2.a.fu

sage: E.q_eigenform(10)
 
\(q + q^{5} + q^{7} - q^{11} + 3 q^{13} - 4 q^{19} + O(q^{20})\) Copy content Toggle raw display