Show commands:
SageMath
E = EllipticCurve("y1")
E.isogeny_class()
Elliptic curves in class 350064.y
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
350064.y1 | 350064y1 | \([0, 0, 0, 105, -1726]\) | \(686000/7293\) | \(-1361048832\) | \([]\) | \(187392\) | \(0.43367\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 350064.y1 has rank \(1\).
Complex multiplication
The elliptic curves in class 350064.y do not have complex multiplication.Modular form 350064.2.a.y
sage: E.q_eigenform(10)