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SageMath
E = EllipticCurve("s1")
E.isogeny_class()
Elliptic curves in class 1600.s
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
1600.s1 | 1600i1 | \([0, 1, 0, -833, 10463]\) | \(-5000\) | \(-12800000000\) | \([]\) | \(960\) | \(0.66216\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 1600.s1 has rank \(0\).
Complex multiplication
The elliptic curves in class 1600.s do not have complex multiplication.Modular form 1600.2.a.s
sage: E.q_eigenform(10)