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SageMath
E = EllipticCurve("x1")
E.isogeny_class()
Elliptic curves in class 1600.x
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
1600.x1 | 1600n1 | \([0, 0, 0, 500, -10000]\) | \(270\) | \(-51200000000\) | \([]\) | \(1920\) | \(0.73777\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 1600.x1 has rank \(0\).
Complex multiplication
The elliptic curves in class 1600.x do not have complex multiplication.Modular form 1600.2.a.x
sage: E.q_eigenform(10)