Show commands:
SageMath
E = EllipticCurve("qj1")
E.isogeny_class()
Elliptic curves in class 487872qj
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
487872.qj1 | 487872qj1 | \([0, 0, 0, 15444, -705672]\) | \(15185664/16807\) | \(-450878477220864\) | \([]\) | \(2580480\) | \(1.4984\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 487872qj1 has rank \(0\).
Complex multiplication
The elliptic curves in class 487872qj do not have complex multiplication.Modular form 487872.2.a.qj
sage: E.q_eigenform(10)