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SageMath
E = EllipticCurve("bk1")
E.isogeny_class()
Elliptic curves in class 283220.bk
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 283220.bk1 | 283220bk1 | \([0, 1, 0, -641965, 195621103]\) | \(401408/5\) | \(364453749080700160\) | \([]\) | \(3094272\) | \(2.1795\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 283220.bk1 has rank \(1\).
Complex multiplication
The elliptic curves in class 283220.bk do not have complex multiplication.Modular form 283220.2.a.bk
sage: E.q_eigenform(10)