Properties

Label 60984.a
Number of curves $1$
Conductor $60984$
CM no
Rank $1$

Related objects

Downloads

Learn more

Show commands: SageMath
sage: E = EllipticCurve("a1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 60984.a

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
60984.a1 60984bb1 \([0, 0, 0, 2064381, 2722728206]\) \(50250332/194481\) \(-3765576851066820658176\) \([]\) \(2703360\) \(2.8228\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 60984.a1 has rank \(1\).

Complex multiplication

The elliptic curves in class 60984.a do not have complex multiplication.

Modular form 60984.2.a.a

sage: E.q_eigenform(10)
 
\(q - 3q^{5} - q^{7} + q^{13} - 5q^{17} - 4q^{19} + O(q^{20})\)  Toggle raw display