Properties

Label 128576u
Number of curves $1$
Conductor $128576$
CM no
Rank $2$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("u1")
 
E.isogeny_class()
 

Elliptic curves in class 128576u

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
128576.bb1 128576u1 \([0, -1, 0, -65921, -669311]\) \(1027243729/587776\) \(18127587540729856\) \([]\) \(811008\) \(1.8094\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 128576u1 has rank \(2\).

Complex multiplication

The elliptic curves in class 128576u do not have complex multiplication.

Modular form 128576.2.a.u

sage: E.q_eigenform(10)
 
\(q - q^{3} - q^{5} - 2 q^{9} + 6 q^{11} - 4 q^{13} + q^{15} - 7 q^{17} + O(q^{20})\) Copy content Toggle raw display