Show commands:
SageMath
E = EllipticCurve("ek1")
E.isogeny_class()
Elliptic curves in class 93600.ek
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
93600.ek1 | 93600i1 | \([0, 0, 0, 1080, -10800]\) | \(13824/13\) | \(-131010048000\) | \([]\) | \(79872\) | \(0.82039\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 93600.ek1 has rank \(0\).
Complex multiplication
The elliptic curves in class 93600.ek do not have complex multiplication.Modular form 93600.2.a.ek
sage: E.q_eigenform(10)