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SageMath
E = EllipticCurve("y1")
E.isogeny_class()
Elliptic curves in class 1600.y
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
1600.y1 | 1600s1 | \([0, 0, 0, 20, 80]\) | \(270\) | \(-3276800\) | \([]\) | \(384\) | \(-0.066947\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 1600.y1 has rank \(0\).
Complex multiplication
The elliptic curves in class 1600.y do not have complex multiplication.Modular form 1600.2.a.y
sage: E.q_eigenform(10)