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SageMath
E = EllipticCurve("dk1")
E.isogeny_class()
Elliptic curves in class 485100dk
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 485100.dk1 | 485100dk1 | \([0, 0, 0, 226800, 20506500]\) | \(47775744/34375\) | \(-928299487500000000\) | \([]\) | \(5529600\) | \(2.1361\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 485100dk1 has rank \(1\).
Complex multiplication
The elliptic curves in class 485100dk do not have complex multiplication.Modular form 485100.2.a.dk
sage: E.q_eigenform(10)