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SageMath
E = EllipticCurve("ft1")
E.isogeny_class()
Elliptic curves in class 66240ft
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 66240.gb1 | 66240ft1 | \([0, 0, 0, -3612, 94966]\) | \(-111701610496/18862875\) | \(-880066296000\) | \([]\) | \(122880\) | \(1.0187\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 66240ft1 has rank \(0\).
Complex multiplication
The elliptic curves in class 66240ft do not have complex multiplication.Modular form 66240.2.a.ft
sage: E.q_eigenform(10)