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SageMath
E = EllipticCurve("hy1")
E.isogeny_class()
Elliptic curves in class 154560.hy
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
154560.hy1 | 154560f1 | \([0, 1, 0, 116675, 34554473]\) | \(2744564518708084736/9629735831296875\) | \(-616303093203000000\) | \([]\) | \(1347840\) | \(2.0965\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 154560.hy1 has rank \(1\).
Complex multiplication
The elliptic curves in class 154560.hy do not have complex multiplication.Modular form 154560.2.a.hy
sage: E.q_eigenform(10)