Show commands:
SageMath
E = EllipticCurve("e1")
E.isogeny_class()
Elliptic curves in class 83790e
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 83790.w1 | 83790e1 | \([1, -1, 0, -172138920, 877019883200]\) | \(-243602310198023065827/2502840869200000\) | \(-5795791726451914076400000\) | \([]\) | \(20321280\) | \(3.5695\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 83790e1 has rank \(0\).
Complex multiplication
The elliptic curves in class 83790e do not have complex multiplication.Modular form 83790.2.a.e
sage: E.q_eigenform(10)