Properties

Label 11858.be
Number of curves $1$
Conductor $11858$
CM no
Rank $0$

Related objects

Downloads

Learn more

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

Elliptic curves in class 11858.be

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
11858.be1 11858bc1 \([1, -1, 1, -297562, -113388327]\) \(-115538049/153664\) \(-3875269010293527616\) \([]\) \(152064\) \(2.2596\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 11858.be1 has rank \(0\).

Complex multiplication

The elliptic curves in class 11858.be do not have complex multiplication.

Modular form 11858.2.a.be

sage: E.q_eigenform(10)
 
\(q + q^{2} + q^{4} + q^{5} + q^{8} - 3 q^{9} + q^{10} + q^{13} + q^{16} + q^{17} - 3 q^{18} + O(q^{20})\) Copy content Toggle raw display