Properties

Label 111573.be
Number of curves $1$
Conductor $111573$
CM no
Rank $2$

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

Elliptic curves in class 111573.be

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
111573.be1 111573d1 \([1, -1, 0, 33, -22]\) \(421875/253\) \(-2343033\) \([]\) \(14336\) \(-0.088470\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 111573.be1 has rank \(2\).

Complex multiplication

The elliptic curves in class 111573.be do not have complex multiplication.

Modular form 111573.2.a.be

sage: E.q_eigenform(10)
 
\(q + q^{2} - q^{4} - 3 q^{8} - q^{11} - q^{13} - q^{16} - 3 q^{17} - 7 q^{19} + O(q^{20})\) Copy content Toggle raw display