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SageMath
E = EllipticCurve("hy1")
E.isogeny_class()
Elliptic curves in class 270480hy
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
270480.hy1 | 270480hy1 | \([0, 1, 0, 22868235, -94703132637]\) | \(2744564518708084736/9629735831296875\) | \(-4640476327183343808000000\) | \([]\) | \(32348160\) | \(3.4160\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 270480hy1 has rank \(1\).
Complex multiplication
The elliptic curves in class 270480hy do not have complex multiplication.Modular form 270480.2.a.hy
sage: E.q_eigenform(10)