Properties

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

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Show commands: SageMath
E = EllipticCurve("bi1")
 
E.isogeny_class()
 

Elliptic curves in class 426888.bi

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
426888.bi1 426888bi1 \([0, 0, 0, -199089891, 1081239559246]\) \(-373983599313324\) \(-2333558977440768\) \([]\) \(34675200\) \(3.0696\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 426888.bi1 has rank \(1\).

Complex multiplication

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

Modular form 426888.2.a.bi

sage: E.q_eigenform(10)
 
\(q - 2 q^{5} - 5 q^{13} - 6 q^{17} - 4 q^{19} + O(q^{20})\) Copy content Toggle raw display