Show commands:
SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 208725.d
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 208725.d1 | 208725l1 | \([0, -1, 1, 24402, 4383488]\) | \(2478080/14283\) | \(-9261605889402075\) | \([]\) | \(1919808\) | \(1.7457\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 208725.d1 has rank \(0\).
Complex multiplication
The elliptic curves in class 208725.d do not have complex multiplication.Modular form 208725.2.a.d
sage: E.q_eigenform(10)