Show commands:
SageMath
E = EllipticCurve("dj1")
E.isogeny_class()
Elliptic curves in class 44352.dj
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
44352.dj1 | 44352cz1 | \([0, 0, 0, 29268, 6886728]\) | \(137566156032/1096135733\) | \(-22093045383822336\) | \([]\) | \(258048\) | \(1.8176\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 44352.dj1 has rank \(1\).
Complex multiplication
The elliptic curves in class 44352.dj do not have complex multiplication.Modular form 44352.2.a.dj
sage: E.q_eigenform(10)