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SageMath
E = EllipticCurve("s1")
E.isogeny_class()
Elliptic curves in class 5586.s
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
5586.s1 | 5586l1 | \([1, 0, 1, -2623, -56206]\) | \(-346016041/34656\) | \(-199784943456\) | \([]\) | \(6720\) | \(0.90862\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 5586.s1 has rank \(0\).
Complex multiplication
The elliptic curves in class 5586.s do not have complex multiplication.Modular form 5586.2.a.s
sage: E.q_eigenform(10)