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SageMath
E = EllipticCurve("y1")
E.isogeny_class()
Elliptic curves in class 5550.y
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
5550.y1 | 5550z1 | \([1, 1, 1, -4588, 7600781]\) | \(-683565019129/1597684769280\) | \(-24963824520000000\) | \([]\) | \(51840\) | \(1.8253\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 5550.y1 has rank \(1\).
Complex multiplication
The elliptic curves in class 5550.y do not have complex multiplication.Modular form 5550.2.a.y
sage: E.q_eigenform(10)