Show commands:
SageMath
E = EllipticCurve("y1")
E.isogeny_class()
Elliptic curves in class 4080.y
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
4080.y1 | 4080bf1 | \([0, 1, 0, 30, -45]\) | \(180472064/185895\) | \(-2974320\) | \([]\) | \(672\) | \(-0.071069\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 4080.y1 has rank \(1\).
Complex multiplication
The elliptic curves in class 4080.y do not have complex multiplication.Modular form 4080.2.a.y
sage: E.q_eigenform(10)