Properties

Label 88200ie
Number of curves $1$
Conductor $88200$
CM no
Rank $1$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("ie1")
 
E.isogeny_class()
 

Elliptic curves in class 88200ie

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
88200.dl1 88200ie1 \([0, 0, 0, 55125, -11576250]\) \(270\) \(-68612896800000000\) \([]\) \(604800\) \(1.9135\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 88200ie1 has rank \(1\).

Complex multiplication

The elliptic curves in class 88200ie do not have complex multiplication.

Modular form 88200.2.a.ie

sage: E.q_eigenform(10)
 
\(q - q^{11} - 4 q^{13} + 5 q^{17} - q^{19} + O(q^{20})\) Copy content Toggle raw display