Show commands:
SageMath
E = EllipticCurve("bd1")
E.isogeny_class()
Elliptic curves in class 146016bd
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 146016.bg1 | 146016bd1 | \([0, 0, 0, -1975779, -875429802]\) | \(1948385688/371293\) | \(162547628709105888768\) | \([]\) | \(3386880\) | \(2.5956\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 146016bd1 has rank \(0\).
Complex multiplication
The elliptic curves in class 146016bd do not have complex multiplication.Modular form 146016.2.a.bd
sage: E.q_eigenform(10)