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SageMath
E = EllipticCurve("hb1")
E.isogeny_class()
Elliptic curves in class 176400.hb
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 176400.hb1 | 176400ew1 | \([0, 0, 0, -1772085, -910889665]\) | \(-17939139239680/66706983\) | \(-2288479670209177200\) | \([]\) | \(3096576\) | \(2.3829\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 176400.hb1 has rank \(0\).
Complex multiplication
The elliptic curves in class 176400.hb do not have complex multiplication.Modular form 176400.2.a.hb
sage: E.q_eigenform(10)