Show commands:
SageMath
E = EllipticCurve("bo1")
E.isogeny_class()
Elliptic curves in class 188442bo
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
188442.y1 | 188442bo1 | \([1, -1, 0, -3858, 134072]\) | \(-185193/116\) | \(-3978387880884\) | \([]\) | \(338688\) | \(1.1193\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 188442bo1 has rank \(1\).
Complex multiplication
The elliptic curves in class 188442bo do not have complex multiplication.Modular form 188442.2.a.bo
sage: E.q_eigenform(10)