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SageMath
E = EllipticCurve("dy1")
E.isogeny_class()
Elliptic curves in class 206400dy
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
206400.x1 | 206400dy1 | \([0, -1, 0, -6925633, -7055220863]\) | \(-71751706663500872/503130234375\) | \(-257602680000000000000\) | \([]\) | \(9805824\) | \(2.7498\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 206400dy1 has rank \(1\).
Complex multiplication
The elliptic curves in class 206400dy do not have complex multiplication.Modular form 206400.2.a.dy
sage: E.q_eigenform(10)