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SageMath
E = EllipticCurve("k1")
E.isogeny_class()
Elliptic curves in class 99856k
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
99856.e1 | 99856k1 | \([0, -1, 0, -351576, 75679984]\) | \(4826809/316\) | \(314636844829229056\) | \([]\) | \(1198080\) | \(2.1073\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 99856k1 has rank \(1\).
Complex multiplication
The elliptic curves in class 99856k do not have complex multiplication.Modular form 99856.2.a.k
sage: E.q_eigenform(10)