Show commands:
SageMath
E = EllipticCurve("y1")
E.isogeny_class()
Elliptic curves in class 200277.y
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
200277.y1 | 200277u1 | \([1, -1, 0, -87417, -9920286]\) | \(350662100640625/246071287\) | \(51842544816447\) | \([]\) | \(864000\) | \(1.5679\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 200277.y1 has rank \(2\).
Complex multiplication
The elliptic curves in class 200277.y do not have complex multiplication.Modular form 200277.2.a.y
sage: E.q_eigenform(10)