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Properties

Label 426888fk
Number of curves $1$
Conductor $426888$
CM no
Rank $0$

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Show commands: SageMath
Copy content sage:E = EllipticCurve("fk1") E.isogeny_class()
 

Rank

Copy content sage:E.rank()
 

The elliptic curve 426888fk1 has rank \(0\).

Complex multiplication

The elliptic curves in class 426888fk do not have complex multiplication.

Modular form 426888.2.a.fk

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

Elliptic curves in class 426888fk

Copy content sage:E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
426888.fk1 426888fk1 \([0, 0, 0, 6468, -166012]\) \(1024\) \(-29223605005056\) \([]\) \(829440\) \(1.2709\) \(\Gamma_0(N)\)-optimal