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SageMath
E = EllipticCurve("cl1")
E.isogeny_class()
Elliptic curves in class 166410cl
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 166410.u1 | 166410cl1 | \([1, -1, 0, -2521329, -87966947]\) | \(35506812831189674787/20480000000000000\) | \(1022423040000000000000\) | \([]\) | \(6289920\) | \(2.7209\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 166410cl1 has rank \(1\).
Complex multiplication
The elliptic curves in class 166410cl do not have complex multiplication.Modular form 166410.2.a.cl
sage: E.q_eigenform(10)