Properties

Label 208725.ba
Number of curves $1$
Conductor $208725$
CM no
Rank $0$

Related objects

Downloads

Learn more

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

Elliptic curves in class 208725.ba

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
208725.ba1 208725r1 \([1, 0, 0, -1846523, -965934078]\) \(15721420060947505/79827687\) \(3535490425235175\) \([]\) \(3427200\) \(2.1813\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 208725.ba1 has rank \(0\).

Complex multiplication

The elliptic curves in class 208725.ba do not have complex multiplication.

Modular form 208725.2.a.ba

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{3} - q^{4} - q^{6} + 3 q^{7} + 3 q^{8} + q^{9} - q^{12} + q^{13} - 3 q^{14} - q^{16} + 8 q^{17} - q^{18} - q^{19} + O(q^{20})\) Copy content Toggle raw display