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SageMath
E = EllipticCurve("h1")
E.isogeny_class()
Elliptic curves in class 2166.h
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
2166.h1 | 2166h1 | \([1, 0, 0, -393678, -99641340]\) | \(-1100553625/62208\) | \(-381401369765284608\) | \([]\) | \(27360\) | \(2.1307\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 2166.h1 has rank \(0\).
Complex multiplication
The elliptic curves in class 2166.h do not have complex multiplication.Modular form 2166.2.a.h
sage: E.q_eigenform(10)