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SageMath
E = EllipticCurve("h1")
E.isogeny_class()
Elliptic curves in class 242726.h
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
242726.h1 | 242726h1 | \([1, 1, 1, -10711, -431463]\) | \(-76711450249/68204\) | \(-120827546444\) | \([]\) | \(537600\) | \(1.0515\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 242726.h1 has rank \(1\).
Complex multiplication
The elliptic curves in class 242726.h do not have complex multiplication.Modular form 242726.2.a.h
sage: E.q_eigenform(10)