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SageMath
E = EllipticCurve("h1")
E.isogeny_class()
Elliptic curves in class 440818.h
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
440818.h1 | 440818h1 | \([1, 0, 1, -502230, 135960552]\) | \(10233565516131336577/85420260814336\) | \(116940337054825984\) | \([]\) | \(7838208\) | \(2.1008\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 440818.h1 has rank \(0\).
Complex multiplication
The elliptic curves in class 440818.h do not have complex multiplication.Modular form 440818.2.a.h
sage: E.q_eigenform(10)