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SageMath
E = EllipticCurve("fl1")
E.isogeny_class()
Elliptic curves in class 206400.fl
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 206400.fl1 | 206400z1 | \([0, 1, 0, 3967, 264063]\) | \(1685159/8256\) | \(-33816576000000\) | \([]\) | \(645120\) | \(1.2783\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 206400.fl1 has rank \(0\).
Complex multiplication
The elliptic curves in class 206400.fl do not have complex multiplication.Modular form 206400.2.a.fl
sage: E.q_eigenform(10)