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SageMath
E = EllipticCurve("w1")
E.isogeny_class()
Elliptic curves in class 26010w
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 26010.q1 | 26010w1 | \([1, -1, 0, -137176794, 618433756348]\) | \(-56136684668636449/2361960\) | \(-12011339373056038440\) | \([]\) | \(3231360\) | \(3.1463\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 26010w1 has rank \(0\).
Complex multiplication
The elliptic curves in class 26010w do not have complex multiplication.Modular form 26010.2.a.w
sage: E.q_eigenform(10)