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SageMath
E = EllipticCurve("s1")
E.isogeny_class()
Elliptic curves in class 9450.s
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
9450.s1 | 9450p1 | \([1, -1, 0, -6798670242, -216641055103084]\) | \(-502229023208369508642555/2365374966787997696\) | \(-163679327828747432755200000000\) | \([]\) | \(19542600\) | \(4.4556\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 9450.s1 has rank \(0\).
Complex multiplication
The elliptic curves in class 9450.s do not have complex multiplication.Modular form 9450.2.a.s
sage: E.q_eigenform(10)