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SageMath
E = EllipticCurve("dk1")
E.isogeny_class()
Elliptic curves in class 138600dk
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 138600.dx1 | 138600dk1 | \([0, 0, 0, -373575, -91025125]\) | \(-31636584484096/1331669031\) | \(-242696680899750000\) | \([]\) | \(1612800\) | \(2.1025\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 138600dk1 has rank \(0\).
Complex multiplication
The elliptic curves in class 138600dk do not have complex multiplication.Modular form 138600.2.a.dk
sage: E.q_eigenform(10)