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)