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SageMath
E = EllipticCurve("i1")
E.isogeny_class()
Elliptic curves in class 169338i
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 169338.q1 | 169338i1 | \([1, 1, 1, -751, -8455]\) | \(-277199830921/9036036\) | \(-1527090084\) | \([]\) | \(92160\) | \(0.53740\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 169338i1 has rank \(0\).
Complex multiplication
The elliptic curves in class 169338i do not have complex multiplication.Modular form 169338.2.a.i
sage: E.q_eigenform(10)