Show commands:
SageMath
E = EllipticCurve("y1")
E.isogeny_class()
Elliptic curves in class 26010y
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
26010.x1 | 26010y1 | \([1, -1, 0, 116991, -823319235]\) | \(34822511/57600000\) | \(-292914845250566400000\) | \([]\) | \(1077120\) | \(2.6062\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 26010y1 has rank \(0\).
Complex multiplication
The elliptic curves in class 26010y do not have complex multiplication.Modular form 26010.2.a.y
sage: E.q_eigenform(10)