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SageMath
E = EllipticCurve("s1")
E.isogeny_class()
Elliptic curves in class 286650.s
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
286650.s1 | 286650s1 | \([1, -1, 0, 100833, 34881741]\) | \(2284322013/11927552\) | \(-592002238464000000\) | \([]\) | \(3655680\) | \(2.0923\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 286650.s1 has rank \(1\).
Complex multiplication
The elliptic curves in class 286650.s do not have complex multiplication.Modular form 286650.2.a.s
sage: E.q_eigenform(10)