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SageMath
E = EllipticCurve("dk1")
E.isogeny_class()
Elliptic curves in class 229320.dk
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 229320.dk1 | 229320cy1 | \([0, 0, 0, -152292, -22875356]\) | \(-17790954496/195\) | \(-4281444760320\) | \([]\) | \(898560\) | \(1.5780\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 229320.dk1 has rank \(0\).
Complex multiplication
The elliptic curves in class 229320.dk do not have complex multiplication.Modular form 229320.2.a.dk
sage: E.q_eigenform(10)