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Properties

Label 465690.bu
Number of curves $1$
Conductor $465690$
CM no
Rank $1$

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Show commands: SageMath
Copy content sage:E = EllipticCurve("bu1") E.isogeny_class()
 

Rank

Copy content sage:E.rank()
 

The elliptic curve 465690.bu1 has rank \(1\).

Complex multiplication

The elliptic curves in class 465690.bu do not have complex multiplication.

Modular form 465690.2.a.bu

Copy content sage:E.q_eigenform(10)
 
\(q + q^{2} - q^{3} + q^{4} + q^{5} - q^{6} - 3 q^{7} + q^{8} + q^{9} + q^{10} + 4 q^{11} - q^{12} + 3 q^{13} - 3 q^{14} - q^{15} + q^{16} + q^{18} + O(q^{20})\) Copy content Toggle raw display

Elliptic curves in class 465690.bu

Copy content sage:E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
465690.bu1 465690bu1 \([1, 1, 1, 43403012845, 22986698160322577]\) \(192203697666261893287480365959/4963160303408775168000000000\) \(-233496249018093130909483008000000000\) \([]\) \(6750656640\) \(5.4667\) \(\Gamma_0(N)\)-optimal