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SageMath
E = EllipticCurve("be1")
E.isogeny_class()
Elliptic curves in class 272734be
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 272734.be1 | 272734be1 | \([1, 0, 1, -5525952, -4834451184]\) | \(28017563/1058\) | \(704693449090563662422\) | \([]\) | \(11176704\) | \(2.7688\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 272734be1 has rank \(0\).
Complex multiplication
The elliptic curves in class 272734be do not have complex multiplication.Modular form 272734.2.a.be
sage: E.q_eigenform(10)