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SageMath
E = EllipticCurve("h1")
E.isogeny_class()
Elliptic curves in class 388815.h
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
388815.h1 | 388815h1 | \([0, -1, 1, -122614970, 501715115306]\) | \(22128056725504/1004653125\) | \(9256079320951887704503125\) | \([]\) | \(169574400\) | \(3.5526\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 388815.h1 has rank \(0\).
Complex multiplication
The elliptic curves in class 388815.h do not have complex multiplication.Modular form 388815.2.a.h
sage: E.q_eigenform(10)