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SageMath
E = EllipticCurve("h1")
E.isogeny_class()
Elliptic curves in class 160446.h
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 160446.h1 | 160446bu1 | \([1, 1, 0, 497231, -11073707]\) | \(10214541635172355837/5952497079140352\) | \(-7922773612335808512\) | \([]\) | \(3507840\) | \(2.3158\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 160446.h1 has rank \(0\).
Complex multiplication
The elliptic curves in class 160446.h do not have complex multiplication.Modular form 160446.2.a.h
sage: E.q_eigenform(10)