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SageMath
E = EllipticCurve("fk1")
E.isogeny_class()
Elliptic curves in class 28224fk
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 28224.ee1 | 28224fk1 | \([0, 0, 0, 1428, 46928]\) | \(68782/243\) | \(-1137731567616\) | \([]\) | \(30720\) | \(0.99630\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 28224fk1 has rank \(0\).
Complex multiplication
The elliptic curves in class 28224fk do not have complex multiplication.Modular form 28224.2.a.fk
sage: E.q_eigenform(10)