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SageMath
E = EllipticCurve("dm1")
E.isogeny_class()
Elliptic curves in class 405720dm
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 405720.dm1 | 405720dm1 | \([0, 0, 0, -88788, 10206308]\) | \(-3525581824/9315\) | \(-204521322781440\) | \([]\) | \(2027520\) | \(1.6210\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 405720dm1 has rank \(0\).
Complex multiplication
The elliptic curves in class 405720dm do not have complex multiplication.Modular form 405720.2.a.dm
sage: E.q_eigenform(10)