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SageMath
E = EllipticCurve("h1")
E.isogeny_class()
Elliptic curves in class 8550.h
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
8550.h1 | 8550o1 | \([1, -1, 0, 8883, 1533541]\) | \(272199695/3735552\) | \(-1063756800000000\) | \([]\) | \(30720\) | \(1.5641\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 8550.h1 has rank \(1\).
Complex multiplication
The elliptic curves in class 8550.h do not have complex multiplication.Modular form 8550.2.a.h
sage: E.q_eigenform(10)