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SageMath
E = EllipticCurve("dy1")
E.isogeny_class()
Elliptic curves in class 108900dy
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
108900.a1 | 108900dy1 | \([0, 0, 0, 317625, -71541250]\) | \(27440/33\) | \(-4261844297700000000\) | \([]\) | \(2764800\) | \(2.2609\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 108900dy1 has rank \(1\).
Complex multiplication
The elliptic curves in class 108900dy do not have complex multiplication.Modular form 108900.2.a.dy
sage: E.q_eigenform(10)