Show commands:
SageMath
E = EllipticCurve("k1")
E.isogeny_class()
Elliptic curves in class 179088.k
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 179088.k1 | 179088cf1 | \([0, -1, 0, 9151, -458307]\) | \(331010639510528/541306139283\) | \(-138574371656448\) | \([]\) | \(619008\) | \(1.3986\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 179088.k1 has rank \(0\).
Complex multiplication
The elliptic curves in class 179088.k do not have complex multiplication.Modular form 179088.2.a.k
sage: E.q_eigenform(10)