Properties

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

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Show commands: SageMath
E = EllipticCurve("ct1")
 
E.isogeny_class()
 

Elliptic curves in class 426888.ct

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
426888.ct1 426888ct1 \([0, 0, 0, -160083, 110937519]\) \(-6912/77\) \(-5054129335383481584\) \([]\) \(4423680\) \(2.2709\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 426888.ct1 has rank \(1\).

Complex multiplication

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

Modular form 426888.2.a.ct

sage: E.q_eigenform(10)
 
\(q - q^{5} - q^{13} - 2 q^{17} - q^{19} + O(q^{20})\) Copy content Toggle raw display