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SageMath
E = EllipticCurve("ds1")
E.isogeny_class()
Elliptic curves in class 9450.ds
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 9450.ds1 | 9450dh1 | \([1, -1, 1, -605105, -181135103]\) | \(-58080650754563163/42017500000\) | \(-17726132812500000\) | \([]\) | \(100800\) | \(2.0527\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 9450.ds1 has rank \(0\).
Complex multiplication
The elliptic curves in class 9450.ds do not have complex multiplication.Modular form 9450.2.a.ds
sage: E.q_eigenform(10)