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SageMath
E = EllipticCurve("kn1")
E.isogeny_class()
Elliptic curves in class 202800kn
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
202800.fn1 | 202800kn1 | \([0, -1, 0, -1459033, 678830437]\) | \(-17790954496/195\) | \(-3764911020000000\) | \([]\) | \(3870720\) | \(2.1429\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 202800kn1 has rank \(1\).
Complex multiplication
The elliptic curves in class 202800kn do not have complex multiplication.Modular form 202800.2.a.kn
sage: E.q_eigenform(10)