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SageMath
E = EllipticCurve("db1")
E.isogeny_class()
Elliptic curves in class 216384db
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 216384.bi1 | 216384db1 | \([0, -1, 0, -332481, -643902111]\) | \(-2689684081/117006336\) | \(-176820910235093827584\) | \([]\) | \(5031936\) | \(2.5652\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 216384db1 has rank \(0\).
Complex multiplication
The elliptic curves in class 216384db do not have complex multiplication.Modular form 216384.2.a.db
sage: E.q_eigenform(10)