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SageMath
E = EllipticCurve("hd1")
E.isogeny_class()
Elliptic curves in class 436800hd
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 436800.hd1 | 436800hd1 | \([0, -1, 0, -160774433, -789080647263]\) | \(-112205650221491190337/745029571313664\) | \(-3051641124100767744000000\) | \([]\) | \(98703360\) | \(3.5337\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 436800hd1 has rank \(0\).
Complex multiplication
The elliptic curves in class 436800hd do not have complex multiplication.Modular form 436800.2.a.hd
sage: E.q_eigenform(10)