Properties

Label 134640bv
Number of curves $1$
Conductor $134640$
CM no
Rank $1$

Related objects

Downloads

Learn more

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

Elliptic curves in class 134640bv

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
134640.i1 134640bv1 \([0, 0, 0, -23763, -1410158]\) \(-496981290961/89760\) \(-268021923840\) \([]\) \(230400\) \(1.1966\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 134640bv1 has rank \(1\).

Complex multiplication

The elliptic curves in class 134640bv do not have complex multiplication.

Modular form 134640.2.a.bv

sage: E.q_eigenform(10)
 
\(q - q^{5} - 3 q^{7} - q^{11} - q^{17} + 8 q^{19} + O(q^{20})\) Copy content Toggle raw display