Properties

Label 248256.be
Number of curves $1$
Conductor $248256$
CM no
Rank $1$

Related objects

Downloads

Learn more

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

Elliptic curves in class 248256.be

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
248256.be1 248256be1 \([0, 0, 0, 852, 25904]\) \(357911/1724\) \(-329461530624\) \([]\) \(184320\) \(0.89237\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 248256.be1 has rank \(1\).

Complex multiplication

The elliptic curves in class 248256.be do not have complex multiplication.

Modular form 248256.2.a.be

sage: E.q_eigenform(10)
 
\(q - q^{5} - 2 q^{7} - q^{11} - 6 q^{13} + 2 q^{17} - q^{19} + O(q^{20})\) Copy content Toggle raw display