Show commands:
SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 145794d
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 145794.bl1 | 145794d1 | \([1, 0, 0, -54143, 4830489]\) | \(7946125960476625/26716428288\) | \(59016590088192\) | \([]\) | \(675840\) | \(1.5066\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 145794d1 has rank \(1\).
Complex multiplication
The elliptic curves in class 145794d do not have complex multiplication.Modular form 145794.2.a.d
sage: E.q_eigenform(10)