Properties

Label 422331.r
Number of curves $1$
Conductor $422331$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("r1")
 
E.isogeny_class()
 

Elliptic curves in class 422331.r

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
422331.r1 422331r1 \([1, 1, 1, -352115, 83655788]\) \(-50308609/2499\) \(-239828789083727571\) \([]\) \(3714048\) \(2.0961\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 422331.r1 has rank \(0\).

Complex multiplication

The elliptic curves in class 422331.r do not have complex multiplication.

Modular form 422331.2.a.r

sage: E.q_eigenform(10)
 
\(q - q^{2} - q^{3} - q^{4} + q^{5} + q^{6} + 3 q^{8} + q^{9} - q^{10} - q^{11} + q^{12} - q^{15} - q^{16} - q^{17} - q^{18} + O(q^{20})\) Copy content Toggle raw display