Properties

Label 88935bu
Number of curves $1$
Conductor $88935$
CM no
Rank $0$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("bu1")
 
E.isogeny_class()
 

Elliptic curves in class 88935bu

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
88935.e1 88935bu1 \([0, 1, 1, 8804, 220336]\) \(2207744/1875\) \(-64086572116875\) \([]\) \(379008\) \(1.3369\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 88935bu1 has rank \(0\).

Complex multiplication

The elliptic curves in class 88935bu do not have complex multiplication.

Modular form 88935.2.a.bu

sage: E.q_eigenform(10)
 
\(q - 2 q^{2} + q^{3} + 2 q^{4} - q^{5} - 2 q^{6} + q^{9} + 2 q^{10} + 2 q^{12} + q^{13} - q^{15} - 4 q^{16} + 6 q^{17} - 2 q^{18} - 7 q^{19} + O(q^{20})\) Copy content Toggle raw display