Show commands:
SageMath
E = EllipticCurve("ed1")
E.isogeny_class()
Elliptic curves in class 289800ed
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 289800.ed1 | 289800ed1 | \([0, 0, 0, 35925, 748375]\) | \(28134973184/17609375\) | \(-3209308593750000\) | \([]\) | \(1382400\) | \(1.6645\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 289800ed1 has rank \(0\).
Complex multiplication
The elliptic curves in class 289800ed do not have complex multiplication.Modular form 289800.2.a.ed
sage: E.q_eigenform(10)