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SageMath
E = EllipticCurve("h1")
E.isogeny_class()
Elliptic curves in class 5550h
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
5550.a1 | 5550h1 | \([1, 1, 0, -75, 225]\) | \(-76215625/1332\) | \(-832500\) | \([]\) | \(1632\) | \(-0.066467\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 5550h1 has rank \(2\).
Complex multiplication
The elliptic curves in class 5550h do not have complex multiplication.Modular form 5550.2.a.h
sage: E.q_eigenform(10)