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SageMath
E = EllipticCurve("h1")
E.isogeny_class()
Elliptic curves in class 11858.h
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 11858.h1 | 11858n1 | \([1, 1, 0, -2279, -46955]\) | \(-268279/32\) | \(-156249166304\) | \([]\) | \(13440\) | \(0.88341\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 11858.h1 has rank \(1\).
Complex multiplication
The elliptic curves in class 11858.h do not have complex multiplication.Modular form 11858.2.a.h
sage: E.q_eigenform(10)