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SageMath
E = EllipticCurve("ha1")
E.isogeny_class()
Elliptic curves in class 176400.ha
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 176400.ha1 | 176400or1 | \([0, 0, 0, -54075, -5629750]\) | \(-15298178/3125\) | \(-3572100000000000\) | \([]\) | \(829440\) | \(1.7066\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 176400.ha1 has rank \(1\).
Complex multiplication
The elliptic curves in class 176400.ha do not have complex multiplication.Modular form 176400.2.a.ha
sage: E.q_eigenform(10)