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SageMath
E = EllipticCurve("h1")
E.isogeny_class()
Elliptic curves in class 296208.h
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 296208.h1 | 296208h1 | \([0, 0, 0, 722733, -374077550]\) | \(65227151/132192\) | \(-84612422798228717568\) | \([]\) | \(12672000\) | \(2.5081\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 296208.h1 has rank \(0\).
Complex multiplication
The elliptic curves in class 296208.h do not have complex multiplication.Modular form 296208.2.a.h
sage: E.q_eigenform(10)