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SageMath
E = EllipticCurve("h1")
E.isogeny_class()
Elliptic curves in class 10647.h
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 10647.h1 | 10647g1 | \([0, 0, 1, 3862833, 9388972323]\) | \(1811564780171264/11870974573731\) | \(-41770917718305590742291\) | \([]\) | \(903168\) | \(3.0223\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 10647.h1 has rank \(1\).
Complex multiplication
The elliptic curves in class 10647.h do not have complex multiplication.Modular form 10647.2.a.h
sage: E.q_eigenform(10)