Show commands:
SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 405600.d
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 405600.d1 | 405600d1 | \([0, -1, 0, -1830833, -909110463]\) | \(520000/27\) | \(35239567147200000000\) | \([]\) | \(10782720\) | \(2.5082\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 405600.d1 has rank \(1\).
Complex multiplication
The elliptic curves in class 405600.d do not have complex multiplication.Modular form 405600.2.a.d
sage: E.q_eigenform(10)