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SageMath
E = EllipticCurve("f1")
E.isogeny_class()
Elliptic curves in class 28224.f
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 28224.f1 | 28224eh1 | \([0, 0, 0, -9072, 332640]\) | \(-5225472\) | \(-15801827328\) | \([]\) | \(46080\) | \(0.95768\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 28224.f1 has rank \(1\).
Complex multiplication
The elliptic curves in class 28224.f do not have complex multiplication.Modular form 28224.2.a.f
sage: E.q_eigenform(10)