Properties

Label 47040.bv
Number of curves $1$
Conductor $47040$
CM no
Rank $1$

Related objects

Downloads

Learn more

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

Elliptic curves in class 47040.bv

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
47040.bv1 47040c1 \([0, -1, 0, -1241, 28155]\) \(-1376628736/1366875\) \(-210039480000\) \([]\) \(53760\) \(0.86834\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 47040.bv1 has rank \(1\).

Complex multiplication

The elliptic curves in class 47040.bv do not have complex multiplication.

Modular form 47040.2.a.bv

sage: E.q_eigenform(10)
 
\(q - q^{3} - q^{5} + q^{9} + 6 q^{11} + 3 q^{13} + q^{15} - 4 q^{17} - q^{19} + O(q^{20})\) Copy content Toggle raw display