Show commands:
SageMath
E = EllipticCurve("y1")
E.isogeny_class()
Elliptic curves in class 8820.y
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
8820.y1 | 8820x1 | \([0, 0, 0, 168, 6244]\) | \(57344/1875\) | \(-17146080000\) | \([]\) | \(4608\) | \(0.64373\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 8820.y1 has rank \(1\).
Complex multiplication
The elliptic curves in class 8820.y do not have complex multiplication.Modular form 8820.2.a.y
sage: E.q_eigenform(10)