Show commands:
SageMath
E = EllipticCurve("j1")
E.isogeny_class()
Elliptic curves in class 259920.j
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
259920.j1 | 259920j1 | \([0, 0, 0, 11337927, 33221820283]\) | \(2253933824/7971615\) | \(-570072165045279236325360\) | \([]\) | \(25608960\) | \(3.2413\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 259920.j1 has rank \(0\).
Complex multiplication
The elliptic curves in class 259920.j do not have complex multiplication.Modular form 259920.2.a.j
sage: E.q_eigenform(10)