Properties

Label 87120.r
Number of curves $1$
Conductor $87120$
CM no
Rank $1$

Related objects

Downloads

Learn more

Show commands: SageMath
sage: E = EllipticCurve("r1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 87120.r

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
87120.r1 87120bf1 \([0, 0, 0, -47883, -4032358]\) \(67208610722/10935\) \(1975429969920\) \([]\) \(215040\) \(1.3683\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 87120.r1 has rank \(1\).

Complex multiplication

The elliptic curves in class 87120.r do not have complex multiplication.

Modular form 87120.2.a.r

sage: E.q_eigenform(10)
 
\(q - q^{5} - 3q^{7} + 5q^{13} + 5q^{17} + q^{19} + O(q^{20})\)  Toggle raw display