Show commands:
SageMath
E = EllipticCurve("du1")
E.isogeny_class()
Elliptic curves in class 303450.du
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
303450.du1 | 303450du1 | \([1, 1, 1, -271088, -56267719]\) | \(-5841725401/231336\) | \(-87248260346625000\) | \([]\) | \(4838400\) | \(2.0192\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 303450.du1 has rank \(0\).
Complex multiplication
The elliptic curves in class 303450.du do not have complex multiplication.Modular form 303450.2.a.du
sage: E.q_eigenform(10)