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SageMath
E = EllipticCurve("ee1")
E.isogeny_class()
Elliptic curves in class 22050ee
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 22050.ez1 | 22050ee1 | \([1, -1, 1, -2776325, -1781095683]\) | \(-1103770289367265/891813888\) | \(-1912185445692211200\) | \([]\) | \(875520\) | \(2.4375\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 22050ee1 has rank \(0\).
Complex multiplication
The elliptic curves in class 22050ee do not have complex multiplication.Modular form 22050.2.a.ee
sage: E.q_eigenform(10)