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SageMath
E = EllipticCurve("l1")
E.isogeny_class()
Elliptic curves in class 66800l
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 66800.f1 | 66800l1 | \([0, -1, 0, -10428168288, 409886715864832]\) | \(-1224751130206834971784807336585/61328559574089728\) | \(-6280044500386788147200\) | \([]\) | \(36888192\) | \(4.1049\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 66800l1 has rank \(0\).
Complex multiplication
The elliptic curves in class 66800l do not have complex multiplication.Modular form 66800.2.a.l
sage: E.q_eigenform(10)