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SageMath
E = EllipticCurve("be1")
E.isogeny_class()
Elliptic curves in class 11088.be
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
11088.be1 | 11088e1 | \([0, 0, 0, 813, -31883]\) | \(137566156032/1096135733\) | \(-473530636656\) | \([]\) | \(10752\) | \(0.92173\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 11088.be1 has rank \(0\).
Complex multiplication
The elliptic curves in class 11088.be do not have complex multiplication.Modular form 11088.2.a.be
sage: E.q_eigenform(10)