Show commands:
SageMath
E = EllipticCurve("kh1")
E.isogeny_class()
Elliptic curves in class 84672kh
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
84672.db1 | 84672kh1 | \([0, 0, 0, -2646, -55566]\) | \(-13824\) | \(-148203857088\) | \([]\) | \(95040\) | \(0.89308\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 84672kh1 has rank \(0\).
Complex multiplication
The elliptic curves in class 84672kh do not have complex multiplication.Modular form 84672.2.a.kh
sage: E.q_eigenform(10)