Properties

Label 88725bu
Number of curves $1$
Conductor $88725$
CM no
Rank $1$

Related objects

Downloads

Learn more

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

Elliptic curves in class 88725bu

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
88725.u1 88725bu1 \([1, 0, 0, -88, 2417]\) \(-28561/945\) \(-2495390625\) \([]\) \(55296\) \(0.48347\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 88725bu1 has rank \(1\).

Complex multiplication

The elliptic curves in class 88725bu do not have complex multiplication.

Modular form 88725.2.a.bu

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{3} - q^{4} - q^{6} + q^{7} + 3 q^{8} + q^{9} + 5 q^{11} - q^{12} - q^{14} - q^{16} + 4 q^{17} - q^{18} - 5 q^{19} + O(q^{20})\) Copy content Toggle raw display