Properties

Label 426888.z
Number of curves $1$
Conductor $426888$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("z1")
 
E.isogeny_class()
 

Elliptic curves in class 426888.z

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
426888.z1 426888z1 \([0, 0, 0, 1120581, 603993159]\) \(6912/11\) \(-247652337433790597616\) \([]\) \(12902400\) \(2.5984\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 426888.z1 has rank \(1\).

Complex multiplication

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

Modular form 426888.2.a.z

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