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SageMath
E = EllipticCurve("dd1")
E.isogeny_class()
Elliptic curves in class 100800.dd
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 100800.dd1 | 100800li1 | \([0, 0, 0, -1020, -29720]\) | \(-6288640/16807\) | \(-313658956800\) | \([]\) | \(92160\) | \(0.89344\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 100800.dd1 has rank \(1\).
Complex multiplication
The elliptic curves in class 100800.dd do not have complex multiplication.Modular form 100800.2.a.dd
sage: E.q_eigenform(10)