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SageMath
E = EllipticCurve("iy1")
E.isogeny_class()
Elliptic curves in class 139650iy
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
139650.y1 | 139650iy1 | \([1, 1, 0, -9785325, -12159547875]\) | \(-37563763825/1400832\) | \(-3864261406320000000000\) | \([]\) | \(12579840\) | \(2.9128\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 139650iy1 has rank \(0\).
Complex multiplication
The elliptic curves in class 139650iy do not have complex multiplication.Modular form 139650.2.a.iy
sage: E.q_eigenform(10)