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SageMath
E = EllipticCurve("be1")
E.isogeny_class()
Elliptic curves in class 189618.be
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
189618.be1 | 189618s1 | \([1, 1, 1, -9383, -399235]\) | \(-111996625/17952\) | \(-14643997903392\) | \([]\) | \(549120\) | \(1.2542\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 189618.be1 has rank \(0\).
Complex multiplication
The elliptic curves in class 189618.be do not have complex multiplication.Modular form 189618.2.a.be
sage: E.q_eigenform(10)