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SageMath
E = EllipticCurve("ha1")
E.isogeny_class()
Elliptic curves in class 162624ha
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 162624.h1 | 162624ha1 | \([0, -1, 0, -227157, 36498189]\) | \(369098752/50421\) | \(177081370851753984\) | \([]\) | \(2027520\) | \(2.0366\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 162624ha1 has rank \(0\).
Complex multiplication
The elliptic curves in class 162624ha do not have complex multiplication.Modular form 162624.2.a.ha
sage: E.q_eigenform(10)