Show commands:
SageMath
E = EllipticCurve("eh1")
E.isogeny_class()
Elliptic curves in class 89280eh
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 89280.cj1 | 89280eh1 | \([0, 0, 0, -117228, -17449648]\) | \(-932288503609/148800000\) | \(-28436122828800000\) | \([]\) | \(552960\) | \(1.8853\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 89280eh1 has rank \(1\).
Complex multiplication
The elliptic curves in class 89280eh do not have complex multiplication.Modular form 89280.2.a.eh
sage: E.q_eigenform(10)