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SageMath
E = EllipticCurve("dy1")
E.isogeny_class()
Elliptic curves in class 47040dy
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
47040.c1 | 47040dy1 | \([0, -1, 0, -191361, -37001439]\) | \(-1231272543361/230400000\) | \(-145015544217600000\) | \([]\) | \(599040\) | \(2.0173\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 47040dy1 has rank \(0\).
Complex multiplication
The elliptic curves in class 47040dy do not have complex multiplication.Modular form 47040.2.a.dy
sage: E.q_eigenform(10)