Show commands:
SageMath
E = EllipticCurve("bi1")
E.isogeny_class()
Elliptic curves in class 163254bi
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
163254.cn1 | 163254bi1 | \([1, 1, 1, -4601634671, -140266775804875]\) | \(-78167567758120133372521/16416253960463056896\) | \(-2263120012799610297362839240704\) | \([]\) | \(332047872\) | \(4.5462\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 163254bi1 has rank \(0\).
Complex multiplication
The elliptic curves in class 163254bi do not have complex multiplication.Modular form 163254.2.a.bi
sage: E.q_eigenform(10)