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SageMath
E = EllipticCurve("pj1")
E.isogeny_class()
Elliptic curves in class 100800.pj
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 100800.pj1 | 100800ks1 | \([0, 0, 0, 580500, -488430000]\) | \(10733445/57344\) | \(-115579079884800000000\) | \([]\) | \(3594240\) | \(2.5318\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 100800.pj1 has rank \(0\).
Complex multiplication
The elliptic curves in class 100800.pj do not have complex multiplication.Modular form 100800.2.a.pj
sage: E.q_eigenform(10)