Show commands:
SageMath
E = EllipticCurve("du1")
E.isogeny_class()
Elliptic curves in class 299200du
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
299200.du1 | 299200du1 | \([0, -1, 0, 7967, 343937]\) | \(13651919/20570\) | \(-84254720000000\) | \([]\) | \(589824\) | \(1.3574\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 299200du1 has rank \(0\).
Complex multiplication
The elliptic curves in class 299200du do not have complex multiplication.Modular form 299200.2.a.du
sage: E.q_eigenform(10)