Show commands:
SageMath
E = EllipticCurve("y1")
E.isogeny_class()
Elliptic curves in class 129472.y
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
129472.y1 | 129472dd1 | \([0, -1, 0, -76545, 8176801]\) | \(654699641761/112\) | \(8485076992\) | \([]\) | \(387072\) | \(1.3038\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 129472.y1 has rank \(1\).
Complex multiplication
The elliptic curves in class 129472.y do not have complex multiplication.Modular form 129472.2.a.y
sage: E.q_eigenform(10)