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SageMath
E = EllipticCurve("dn1")
E.isogeny_class()
Elliptic curves in class 350658.dn
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 350658.dn1 | 350658dn1 | \([1, -1, 1, -14180, -693525]\) | \(-244140625/21252\) | \(-27446277277188\) | \([]\) | \(890880\) | \(1.3228\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 350658.dn1 has rank \(1\).
Complex multiplication
The elliptic curves in class 350658.dn do not have complex multiplication.Modular form 350658.2.a.dn
sage: E.q_eigenform(10)