Show commands:
SageMath
E = EllipticCurve("ih1")
E.isogeny_class()
Elliptic curves in class 159936ih
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 159936.x1 | 159936ih1 | \([0, -1, 0, -482253557, -4076310177939]\) | \(-6434900743458429657088/395758108932291\) | \(-762847981695387301625856\) | \([]\) | \(46448640\) | \(3.6425\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 159936ih1 has rank \(1\).
Complex multiplication
The elliptic curves in class 159936ih do not have complex multiplication.Modular form 159936.2.a.ih
sage: E.q_eigenform(10)