Properties

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

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("bk1")
 
E.isogeny_class()
 

Elliptic curves in class 422331bk

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
422331.bk1 422331bk1 \([1, 1, 0, -2083, 37276]\) \(-50308609/2499\) \(-49686819819\) \([]\) \(285696\) \(0.81363\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 422331bk1 has rank \(0\).

Complex multiplication

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

Modular form 422331.2.a.bk

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