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SageMath
E = EllipticCurve("bk1")
E.isogeny_class()
Elliptic curves in class 272734.bk
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 272734.bk1 | 272734bk1 | \([1, 0, 1, -48523060, -55849357742]\) | \(25248276104737/11918987872\) | \(5964525353102530838739808\) | \([]\) | \(48384000\) | \(3.4482\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 272734.bk1 has rank \(0\).
Complex multiplication
The elliptic curves in class 272734.bk do not have complex multiplication.Modular form 272734.2.a.bk
sage: E.q_eigenform(10)