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SageMath
E = EllipticCurve("s1")
E.isogeny_class()
Elliptic curves in class 20230s
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
20230.s1 | 20230s1 | \([1, -1, 1, 3558, -28679]\) | \(206425071/133280\) | \(-3217055196320\) | \([]\) | \(69120\) | \(1.0889\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 20230s1 has rank \(0\).
Complex multiplication
The elliptic curves in class 20230s do not have complex multiplication.Modular form 20230.2.a.s
sage: E.q_eigenform(10)