Show commands:
SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 102850.d
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 102850.d1 | 102850z1 | \([1, 0, 1, -586, -5502]\) | \(7338805705/578\) | \(1748450\) | \([]\) | \(71424\) | \(0.24466\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 102850.d1 has rank \(1\).
Complex multiplication
The elliptic curves in class 102850.d do not have complex multiplication.Modular form 102850.2.a.d
sage: E.q_eigenform(10)