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SageMath
E = EllipticCurve("dy1")
E.isogeny_class()
Elliptic curves in class 430950dy
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 430950.dy1 | 430950dy1 | \([1, 0, 1, -153050876, -728942656102]\) | \(-150149688795910040658889/33589356396300000\) | \(-88696894233979687500000\) | \([]\) | \(100684800\) | \(3.3961\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 430950dy1 has rank \(0\).
Complex multiplication
The elliptic curves in class 430950dy do not have complex multiplication.Modular form 430950.2.a.dy
sage: E.q_eigenform(10)