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SageMath
E = EllipticCurve("h1")
E.isogeny_class()
Elliptic curves in class 38646h
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 38646.d1 | 38646h1 | \([1, -1, 0, 71127, -16037811]\) | \(54587879396266607/183673963937792\) | \(-133898319710650368\) | \([]\) | \(453600\) | \(1.9694\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 38646h1 has rank \(0\).
Complex multiplication
The elliptic curves in class 38646h do not have complex multiplication.Modular form 38646.2.a.h
sage: E.q_eigenform(10)