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SageMath
E = EllipticCurve("kf1")
E.isogeny_class()
Elliptic curves in class 235200.kf
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 235200.kf1 | 235200kf1 | \([0, -1, 0, -7964133, 8653448637]\) | \(-90888126966784/16875\) | \(-10372320000000000\) | \([]\) | \(4423680\) | \(2.4668\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 235200.kf1 has rank \(1\).
Complex multiplication
The elliptic curves in class 235200.kf do not have complex multiplication.Modular form 235200.2.a.kf
sage: E.q_eigenform(10)