Properties

Label 466578.bs
Number of curves $1$
Conductor $466578$
CM no
Rank $1$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("bs1")
 
E.isogeny_class()
 

Elliptic curves in class 466578.bs

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
466578.bs1 466578bs1 \([1, -1, 0, -24733494, 413217211252]\) \(-2689684081/117006336\) \(-72792769725348349512278016\) \([]\) \(110702592\) \(3.6425\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 466578.bs1 has rank \(1\).

Complex multiplication

The elliptic curves in class 466578.bs do not have complex multiplication.

Modular form 466578.2.a.bs

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{4} + q^{5} - q^{8} - q^{10} - 3 q^{11} + 2 q^{13} + q^{16} - 2 q^{17} + 2 q^{19} + O(q^{20})\) Copy content Toggle raw display