Properties

Label 189618.be
Number of curves $1$
Conductor $189618$
CM no
Rank $0$

Related objects

Downloads

Learn more

Show commands: SageMath
sage: E = EllipticCurve("be1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 189618.be

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
189618.be1 189618s1 \([1, 1, 1, -9383, -399235]\) \(-111996625/17952\) \(-14643997903392\) \([]\) \(549120\) \(1.2542\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 189618.be1 has rank \(0\).

Complex multiplication

The elliptic curves in class 189618.be do not have complex multiplication.

Modular form 189618.2.a.be

sage: E.q_eigenform(10)
 
\(q + q^{2} - q^{3} + q^{4} - q^{6} + 4q^{7} + q^{8} + q^{9} + q^{11} - q^{12} + 4q^{14} + q^{16} + q^{17} + q^{18} + 2q^{19} + O(q^{20})\)  Toggle raw display