Properties

Label 22050.bv
Number of curves $1$
Conductor $22050$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("bv1")
 
E.isogeny_class()
 

Elliptic curves in class 22050.bv

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
22050.bv1 22050cl1 \([1, -1, 0, -69408117, -222706368459]\) \(-1103770289367265/891813888\) \(-29877897588940800000000\) \([]\) \(4377600\) \(3.2422\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 22050.bv1 has rank \(0\).

Complex multiplication

The elliptic curves in class 22050.bv do not have complex multiplication.

Modular form 22050.2.a.bv

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{4} - q^{8} + 2 q^{11} - 7 q^{13} + q^{16} - 7 q^{17} - 8 q^{19} + O(q^{20})\) Copy content Toggle raw display