Properties

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

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Show commands: SageMath
E = EllipticCurve("fq1")
 
E.isogeny_class()
 

Elliptic curves in class 426888.fq

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
426888.fq1 426888fq1 \([0, 0, 0, -187572, 21566468]\) \(274717696/83349\) \(221432568506037504\) \([]\) \(4423680\) \(2.0333\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 426888.fq1 has rank \(0\).

Complex multiplication

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

Modular form 426888.2.a.fq

sage: E.q_eigenform(10)
 
\(q + q^{5} + 6 q^{13} + 3 q^{17} + 4 q^{19} + O(q^{20})\) Copy content Toggle raw display