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SageMath
E = EllipticCurve("h1")
E.isogeny_class()
Elliptic curves in class 174570.h
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
174570.h1 | 174570cs1 | \([1, 1, 0, -11568, 1507638]\) | \(-14072579252207/73076891250\) | \(-889126535838750\) | \([]\) | \(860160\) | \(1.5527\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 174570.h1 has rank \(1\).
Complex multiplication
The elliptic curves in class 174570.h do not have complex multiplication.Modular form 174570.2.a.h
sage: E.q_eigenform(10)