Properties

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

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("bc1")
 
E.isogeny_class()
 

Elliptic curves in class 60984.bc

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
60984.bc1 60984cf1 \([0, 0, 0, -363, -105149]\) \(-256/231\) \(-4773265613424\) \([]\) \(92160\) \(1.1119\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 60984.bc1 has rank \(1\).

Complex multiplication

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

Modular form 60984.2.a.bc

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