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SageMath
E = EllipticCurve("dy1")
E.isogeny_class()
Elliptic curves in class 259920.dy
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
259920.dy1 | 259920dy1 | \([0, 0, 0, 596733, -370893566]\) | \(463391/1440\) | \(-73026212404920975360\) | \([]\) | \(5253120\) | \(2.4947\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 259920.dy1 has rank \(0\).
Complex multiplication
The elliptic curves in class 259920.dy do not have complex multiplication.Modular form 259920.2.a.dy
sage: E.q_eigenform(10)