Properties

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

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Show commands: SageMath
E = EllipticCurve("t1")
 
E.isogeny_class()
 

Elliptic curves in class 426888.t

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
426888.t1 426888t1 \([0, 0, 0, 554296281, -22873817619961]\) \(5820759945472/73222472421\) \(-236926864288605125973288723696\) \([]\) \(340623360\) \(4.3173\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 426888.t1 has rank \(0\).

Complex multiplication

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

Modular form 426888.2.a.t

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