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SageMath
E = EllipticCurve("h1")
E.isogeny_class()
Elliptic curves in class 249690.h
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 249690.h1 | 249690h1 | \([1, 1, 0, -221797, 36890509]\) | \(1206684612015266606041/107450595840000000\) | \(107450595840000000\) | \([]\) | \(3104640\) | \(2.0079\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 249690.h1 has rank \(1\).
Complex multiplication
The elliptic curves in class 249690.h do not have complex multiplication.Modular form 249690.2.a.h
sage: E.q_eigenform(10)