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SageMath
E = EllipticCurve("fs1")
E.isogeny_class()
Elliptic curves in class 89280.fs
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
89280.fs1 | 89280cj1 | \([0, 0, 0, 56148, -2810576]\) | \(102437538839/77137920\) | \(-14741286074449920\) | \([]\) | \(675840\) | \(1.7906\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 89280.fs1 has rank \(1\).
Complex multiplication
The elliptic curves in class 89280.fs do not have complex multiplication.Modular form 89280.2.a.fs
sage: E.q_eigenform(10)