Show commands:
SageMath
E = EllipticCurve("bs1")
E.isogeny_class()
Elliptic curves in class 44100bs
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
44100.w1 | 44100bs1 | \([0, 0, 0, 1440600, -142859500]\) | \(401408/243\) | \(-200158571738412000000\) | \([]\) | \(1290240\) | \(2.5847\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 44100bs1 has rank \(0\).
Complex multiplication
The elliptic curves in class 44100bs do not have complex multiplication.Modular form 44100.2.a.bs
sage: E.q_eigenform(10)