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SageMath
E = EllipticCurve("dx1")
E.isogeny_class()
Elliptic curves in class 206400dx
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 206400.w1 | 206400dx1 | \([0, -1, 0, 192367923967, 214484193764363937]\) | \(192203697666261893287480365959/4963160303408775168000000000\) | \(-20329104602762343088128000000000000000\) | \([]\) | \(4923555840\) | \(5.8389\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 206400dx1 has rank \(0\).
Complex multiplication
The elliptic curves in class 206400dx do not have complex multiplication.Modular form 206400.2.a.dx
sage: E.q_eigenform(10)