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SageMath
E = EllipticCurve("dy1")
E.isogeny_class()
Elliptic curves in class 382200.dy
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
382200.dy1 | 382200dy1 | \([0, -1, 0, 41592, 286812]\) | \(10149078716/5923125\) | \(-4643730000000000\) | \([]\) | \(1548288\) | \(1.6956\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 382200.dy1 has rank \(0\).
Complex multiplication
The elliptic curves in class 382200.dy do not have complex multiplication.Modular form 382200.2.a.dy
sage: E.q_eigenform(10)