Properties

Label 177744.be
Number of curves $1$
Conductor $177744$
CM no
Rank $2$

Related objects

Downloads

Learn more

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

Elliptic curves in class 177744.be

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
177744.be1 177744by1 \([0, -1, 0, -705, 7308]\) \(8667136/189\) \(846239184\) \([]\) \(76032\) \(0.50129\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 177744.be1 has rank \(2\).

Complex multiplication

The elliptic curves in class 177744.be do not have complex multiplication.

Modular form 177744.2.a.be

sage: E.q_eigenform(10)
 
\(q - q^{3} + q^{5} + q^{7} + q^{9} - 4 q^{11} - 4 q^{13} - q^{15} - 3 q^{17} + O(q^{20})\) Copy content Toggle raw display