Show commands:
SageMath
E = EllipticCurve("j1")
E.isogeny_class()
Elliptic curves in class 38808j
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 38808.h1 | 38808j1 | \([0, 0, 0, -5891319, 5504284611]\) | \(-610325920583424/55240493\) | \(-2046713532510666096\) | \([]\) | \(1105920\) | \(2.5531\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 38808j1 has rank \(0\).
Complex multiplication
The elliptic curves in class 38808j do not have complex multiplication.Modular form 38808.2.a.j
sage: E.q_eigenform(10)