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SageMath
E = EllipticCurve("gt1")
E.isogeny_class()
Elliptic curves in class 169050.gt
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 169050.gt1 | 169050eg1 | \([1, 1, 1, -6286113, 6093560031]\) | \(-14943832855786297/85501108224\) | \(-157173748147584000000\) | \([]\) | \(8087040\) | \(2.7171\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 169050.gt1 has rank \(0\).
Complex multiplication
The elliptic curves in class 169050.gt do not have complex multiplication.Modular form 169050.2.a.gt
sage: E.q_eigenform(10)