Show commands:
SageMath
E = EllipticCurve("j1")
E.isogeny_class()
Elliptic curves in class 2093j
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
2093.j1 | 2093j1 | \([0, -1, 1, -182, -881]\) | \(670381355008/5025293\) | \(5025293\) | \([]\) | \(760\) | \(0.11601\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 2093j1 has rank \(0\).
Complex multiplication
The elliptic curves in class 2093j do not have complex multiplication.Modular form 2093.2.a.j
sage: E.q_eigenform(10)