Properties

Label 8640.bv
Number of curves $1$
Conductor $8640$
CM no
Rank $1$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("bv1")
 
E.isogeny_class()
 

Elliptic curves in class 8640.bv

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
8640.bv1 8640w1 \([0, 0, 0, -162, 1566]\) \(-373248/625\) \(-787320000\) \([]\) \(2304\) \(0.39779\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 8640.bv1 has rank \(1\).

Complex multiplication

The elliptic curves in class 8640.bv do not have complex multiplication.

Modular form 8640.2.a.bv

sage: E.q_eigenform(10)
 
\(q + q^{5} + q^{7} - 2 q^{11} + 3 q^{13} + 2 q^{17} + q^{19} + O(q^{20})\) Copy content Toggle raw display