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SageMath
E = EllipticCurve("s1")
E.isogeny_class()
Elliptic curves in class 4998s
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
4998.n1 | 4998s1 | \([1, 0, 1, -20459, -1132540]\) | \(-3352478521/15606\) | \(-4408308735894\) | \([]\) | \(13104\) | \(1.2767\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 4998s1 has rank \(0\).
Complex multiplication
The elliptic curves in class 4998s do not have complex multiplication.Modular form 4998.2.a.s
sage: E.q_eigenform(10)