Properties

Label 466578.ba
Number of curves $1$
Conductor $466578$
CM no
Rank $0$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("ba1")
 
E.isogeny_class()
 

Elliptic curves in class 466578.ba

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
466578.ba1 466578ba1 \([1, -1, 0, -504765, -1204570683]\) \(-2689684081/117006336\) \(-618728333647955779584\) \([]\) \(15814656\) \(2.6696\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 466578.ba1 has rank \(0\).

Complex multiplication

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

Modular form 466578.2.a.ba

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