Properties

Label 337590.bz
Number of curves $1$
Conductor $337590$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("bz1")
 
E.isogeny_class()
 

Elliptic curves in class 337590.bz

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
337590.bz1 337590bz1 \([1, -1, 0, -11326415139, 480797069121045]\) \(-124427822010671478697670089/5317924709672681472000\) \(-6867929424095892595427770368000\) \([]\) \(867081600\) \(4.6831\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 337590.bz1 has rank \(0\).

Complex multiplication

The elliptic curves in class 337590.bz do not have complex multiplication.

Modular form 337590.2.a.bz

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{4} + q^{5} - q^{7} - q^{8} - q^{10} - 2 q^{13} + q^{14} + q^{16} - 4 q^{17} - q^{19} + O(q^{20})\) Copy content Toggle raw display