Properties

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

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("bm1")
 
E.isogeny_class()
 

Elliptic curves in class 60984.bm

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
60984.bm1 60984s1 \([0, 0, 0, -1452, 17908]\) \(123904/21\) \(57379601664\) \([]\) \(43008\) \(0.78516\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 60984.bm1 has rank \(1\).

Complex multiplication

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

Modular form 60984.2.a.bm

sage: E.q_eigenform(10)
 
\(q + q^{5} - q^{7} - 3 q^{17} + 6 q^{19} + O(q^{20})\) Copy content Toggle raw display