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SageMath
E = EllipticCurve("h1")
E.isogeny_class()
Elliptic curves in class 316239h
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 316239.h1 | 316239h1 | \([0, -1, 1, -36233779, 39342300945]\) | \(1094075711488/494176221\) | \(2376288053521109251768629\) | \([]\) | \(54878400\) | \(3.3725\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 316239h1 has rank \(0\).
Complex multiplication
The elliptic curves in class 316239h do not have complex multiplication.Modular form 316239.2.a.h
sage: E.q_eigenform(10)