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SageMath
E = EllipticCurve("z1")
E.isogeny_class()
Elliptic curves in class 28224z
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 28224.cl1 | 28224z1 | \([0, 0, 0, 69972, 16096304]\) | \(68782/243\) | \(-133852981198454784\) | \([]\) | \(215040\) | \(1.9693\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 28224z1 has rank \(0\).
Complex multiplication
The elliptic curves in class 28224z do not have complex multiplication.Modular form 28224.2.a.z
sage: E.q_eigenform(10)