Show commands:
SageMath
E = EllipticCurve("y1")
E.isogeny_class()
Elliptic curves in class 102550.y
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
102550.y1 | 102550x1 | \([1, 0, 0, -2638, 45892]\) | \(1039509197/131264\) | \(256375000000\) | \([]\) | \(103680\) | \(0.91845\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 102550.y1 has rank \(1\).
Complex multiplication
The elliptic curves in class 102550.y do not have complex multiplication.Modular form 102550.2.a.y
sage: E.q_eigenform(10)