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SageMath
E = EllipticCurve("s1")
E.isogeny_class()
Elliptic curves in class 254898.s
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
254898.s1 | 254898s1 | \([1, -1, 0, 799524, 117395536]\) | \(2280364702703/1560674304\) | \(-38683511566353432576\) | \([]\) | \(9400320\) | \(2.4471\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 254898.s1 has rank \(1\).
Complex multiplication
The elliptic curves in class 254898.s do not have complex multiplication.Modular form 254898.2.a.s
sage: E.q_eigenform(10)