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SageMath
E = EllipticCurve("f1")
E.isogeny_class()
Elliptic curves in class 443822f
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 443822.f1 | 443822f1 | \([1, 1, 0, -1429839, 385206745]\) | \(5192525593/1972156\) | \(122785822002908064316\) | \([]\) | \(13600224\) | \(2.5541\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 443822f1 has rank \(0\).
Complex multiplication
The elliptic curves in class 443822f do not have complex multiplication.Modular form 443822.2.a.f
sage: E.q_eigenform(10)