Properties

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

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Show commands: SageMath
E = EllipticCurve("bn1")
 
E.isogeny_class()
 

Elliptic curves in class 60984.bn

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
60984.bn1 60984r1 \([0, 0, 0, -1452, 7064948]\) \(-1024/65219\) \(-21562431864374016\) \([]\) \(345600\) \(1.8130\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 60984.bn1 has rank \(1\).

Complex multiplication

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

Modular form 60984.2.a.bn

sage: E.q_eigenform(10)
 
\(q + q^{5} - q^{7} - 2 q^{17} + 2 q^{19} + O(q^{20})\) Copy content Toggle raw display