Properties

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

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Show commands: SageMath
sage: E = EllipticCurve("bp1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 60984.bp

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
60984.bp1 60984t1 \([0, 0, 0, -257367, -50374357]\) \(-91238612224/251559\) \(-5198086253018736\) \([]\) \(276480\) \(1.8887\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 60984.bp1 has rank \(1\).

Complex multiplication

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

Modular form 60984.2.a.bp

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