Properties

Label 453152.be
Number of curves $1$
Conductor $453152$
CM no
Rank $1$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("be1")
 
E.isogeny_class()
 

Elliptic curves in class 453152.be

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
453152.be1 453152be1 \([0, 1, 0, -32419249, 71018520607]\) \(1120967488/343\) \(1153011606738696957952\) \([]\) \(22560768\) \(3.0184\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 453152.be1 has rank \(1\).

Complex multiplication

The elliptic curves in class 453152.be do not have complex multiplication.

Modular form 453152.2.a.be

sage: E.q_eigenform(10)
 
\(q + q^{3} - 2 q^{5} - 2 q^{9} - 2 q^{11} - 2 q^{13} - 2 q^{15} - 5 q^{19} + O(q^{20})\) Copy content Toggle raw display