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SageMath
E = EllipticCurve("ho1")
E.isogeny_class()
Elliptic curves in class 176400ho
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 176400.gs1 | 176400ho1 | \([0, 0, 0, -77175, -16206750]\) | \(-3024/5\) | \(-84050798580000000\) | \([]\) | \(1354752\) | \(1.9384\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 176400ho1 has rank \(1\).
Complex multiplication
The elliptic curves in class 176400ho do not have complex multiplication.Modular form 176400.2.a.ho
sage: E.q_eigenform(10)